# Physics equations/22-Magnetism/Q:AmpereLaw

• The accuracy of these quiz answers have not been verified.

## c22Magnetism_ampereLaw_v1

Amphere's law for magnetostatic currents is that ${\displaystyle \oint {\vec {H}}\cdot {\vec {d\ell }}=\int {\vec {J}}\cdot {\vec {dA}}}$ equals the current enclosed by the closed loop, and ${\displaystyle B=\mu _{0}H}$ is the magnetic field. A current of 8.5A flows upward along the z axis. Noting that for this geometry, ${\displaystyle \oint {\vec {B}}\cdot {\vec {d\ell }}=B\oint d\ell }$, calculate the line integral ${\displaystyle \oint d\ell }$ for a circle of radius 4.7m.

 a) 2.69E+01 m b) 2.95E+01 m c) 3.24E+01 m d) 3.55E+01 m e) 3.89E+01 m

copies
===2===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 8.2A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 9.6m.}
+a) 6.03E+01 m
-b) 6.61E+01 m
-c) 7.25E+01 m
-d) 7.95E+01 m
-e) 8.72E+01 m
===3===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 7.9A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 4.2m.}
-a) 1.83E+01 m
-b) 2.00E+01 m
-c) 2.19E+01 m
-d) 2.41E+01 m
+e) 2.64E+01 m
===4===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 6.9A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 9.9m.}
+a) 6.22E+01 m
-b) 6.82E+01 m
-c) 7.48E+01 m
-d) 8.20E+01 m
-e) 8.99E+01 m
===5===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 7.3A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 8.3m.}
-a) 4.76E+01 m
+b) 5.22E+01 m
-c) 5.72E+01 m
-d) 6.27E+01 m
-e) 6.87E+01 m
===6===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 9.6A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 9.8m.}
-a) 4.26E+01 m
-b) 4.67E+01 m
-c) 5.12E+01 m
-d) 5.62E+01 m
+e) 6.16E+01 m
===7===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 7.2A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 8.2m.}
-a) 4.70E+01 m
+b) 5.15E+01 m
-c) 5.65E+01 m
-d) 6.19E+01 m
-e) 6.79E+01 m
===8===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 8.6A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 8.8m.}
-a) 3.83E+01 m
-b) 4.19E+01 m
-c) 4.60E+01 m
-d) 5.04E+01 m
+e) 5.53E+01 m
===9===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 7.4A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 6.3m.}
-a) 2.74E+01 m
-b) 3.00E+01 m
-c) 3.29E+01 m
-d) 3.61E+01 m
+e) 3.96E+01 m
===10===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 6.9A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 9.8m.}
+a) 6.16E+01 m
-b) 6.75E+01 m
-c) 7.40E+01 m
-d) 8.12E+01 m
-e) 8.90E+01 m
===11===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 9.8A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 4.6m.}
+a) 2.89E+01 m
-b) 3.17E+01 m
-c) 3.47E+01 m
-d) 3.81E+01 m
-e) 4.18E+01 m
===12===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 5.8A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 4.4m.}
-a) 2.30E+01 m
-b) 2.52E+01 m
+c) 2.76E+01 m
-d) 3.03E+01 m
-e) 3.32E+01 m
===13===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 4.8A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 7.7m.}
+a) 4.84E+01 m
-b) 5.30E+01 m
-c) 5.82E+01 m
-d) 6.38E+01 m
-e) 6.99E+01 m
===14===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 4.7A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 6.5m.}
-a) 3.10E+01 m
-b) 3.40E+01 m
-c) 3.72E+01 m
+d) 4.08E+01 m
-e) 4.48E+01 m
===15===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 5A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 5.4m.}
-a) 3.09E+01 m
+b) 3.39E+01 m
-c) 3.72E+01 m
-d) 4.08E+01 m
-e) 4.47E+01 m
===16===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 6.8A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 7.9m.}
+a) 4.96E+01 m
-b) 5.44E+01 m
-c) 5.97E+01 m
-d) 6.54E+01 m
-e) 7.17E+01 m
===17===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 4.9A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 4.2m.}
-a) 2.00E+01 m
-b) 2.19E+01 m
-c) 2.41E+01 m
+d) 2.64E+01 m
-e) 2.89E+01 m
===18===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 6.9A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 4.4m.}
-a) 2.10E+01 m
-b) 2.30E+01 m
-c) 2.52E+01 m
+d) 2.76E+01 m
-e) 3.03E+01 m
===19===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 5.8A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 6.1m.}
+a) 3.83E+01 m
-b) 4.20E+01 m
-c) 4.61E+01 m
-d) 5.05E+01 m
-e) 5.54E+01 m
===20===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 6.7A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 4.1m.}
+a) 2.58E+01 m
-b) 2.82E+01 m
-c) 3.10E+01 m
-d) 3.40E+01 m
-e) 3.72E+01 m
===21===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 4.8A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 6.2m.}
-a) 2.70E+01 m
-b) 2.96E+01 m
-c) 3.24E+01 m
-d) 3.55E+01 m
+e) 3.90E+01 m
===22===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 5.7A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 9.2m.}
-a) 4.38E+01 m
-b) 4.81E+01 m
-c) 5.27E+01 m
+d) 5.78E+01 m
-e) 6.34E+01 m
===23===
{<!--c22Magnetism_ampereLaw_1-->Amphere's law for [[w:magnetostatics|magnetostatic]] currents is that $\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$ equals the current enclosed by the closed loop, and $B=\mu_0H$ is the magnetic field. A current of 6.5A flows upward along the z axis.  Noting that for this geometry, $\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 6.8m.}
+a) 4.27E+01 m
-b) 4.68E+01 m
-c) 5.14E+01 m
-d) 5.63E+01 m
-e) 6.18E+01 m


## c22Magnetism_ampereLaw_v1

If ${\displaystyle H=B/\mu _{0}}$, where ${\displaystyle B}$ is magnetic field, what is ${\displaystyle H}$ at a distance of 4.7m from a wire carrying a current of 8.5A?

 a) 2.63E-01 A/m b) 2.88E-01 A/m c) 3.16E-01 A/m d) 3.46E-01 A/m e) 3.79E-01 A/m

copies
===2===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 9.6m from a wire carrying a current of 8.2A?}
-a) 1.24E-01  A/m
+b) 1.36E-01  A/m
-c) 1.49E-01  A/m
-d) 1.63E-01  A/m
-e) 1.79E-01  A/m
===3===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 4.2m from a wire carrying a current of 7.9A?}
-a) 2.73E-01  A/m
+b) 2.99E-01  A/m
-c) 3.28E-01  A/m
-d) 3.60E-01  A/m
-e) 3.95E-01  A/m
===4===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 9.9m from a wire carrying a current of 6.9A?}
+a) 1.11E-01  A/m
-b) 1.22E-01  A/m
-c) 1.33E-01  A/m
-d) 1.46E-01  A/m
-e) 1.60E-01  A/m
===5===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 8.3m from a wire carrying a current of 7.3A?}
+a) 1.40E-01  A/m
-b) 1.53E-01  A/m
-c) 1.68E-01  A/m
-d) 1.85E-01  A/m
-e) 2.02E-01  A/m
===6===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 9.8m from a wire carrying a current of 9.6A?}
-a) 1.30E-01  A/m
-b) 1.42E-01  A/m
+c) 1.56E-01  A/m
-d) 1.71E-01  A/m
-e) 1.87E-01  A/m
===7===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 8.2m from a wire carrying a current of 7.2A?}
-a) 9.67E-02  A/m
-b) 1.06E-01  A/m
-c) 1.16E-01  A/m
-d) 1.27E-01  A/m
+e) 1.40E-01  A/m
===8===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 8.8m from a wire carrying a current of 8.6A?}
+a) 1.56E-01  A/m
-b) 1.71E-01  A/m
-c) 1.87E-01  A/m
-d) 2.05E-01  A/m
-e) 2.25E-01  A/m
===9===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 6.3m from a wire carrying a current of 7.4A?}
+a) 1.87E-01  A/m
-b) 2.05E-01  A/m
-c) 2.25E-01  A/m
-d) 2.46E-01  A/m
-e) 2.70E-01  A/m
===10===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 9.8m from a wire carrying a current of 6.9A?}
-a) 1.02E-01  A/m
+b) 1.12E-01  A/m
-c) 1.23E-01  A/m
-d) 1.35E-01  A/m
-e) 1.48E-01  A/m
===11===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 4.6m from a wire carrying a current of 9.8A?}
-a) 2.57E-01  A/m
-b) 2.82E-01  A/m
-c) 3.09E-01  A/m
+d) 3.39E-01  A/m
-e) 3.72E-01  A/m
===12===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 4.4m from a wire carrying a current of 5.8A?}
-a) 1.91E-01  A/m
+b) 2.10E-01  A/m
-c) 2.30E-01  A/m
-d) 2.52E-01  A/m
-e) 2.77E-01  A/m
===13===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 7.7m from a wire carrying a current of 4.8A?}
+a) 9.92E-02  A/m
-b) 1.09E-01  A/m
-c) 1.19E-01  A/m
-d) 1.31E-01  A/m
-e) 1.43E-01  A/m
===14===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 6.5m from a wire carrying a current of 4.7A?}
-a) 7.96E-02  A/m
-b) 8.73E-02  A/m
-c) 9.57E-02  A/m
-d) 1.05E-01  A/m
+e) 1.15E-01  A/m
===15===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 5.4m from a wire carrying a current of 5A?}
-a) 1.34E-01  A/m
+b) 1.47E-01  A/m
-c) 1.62E-01  A/m
-d) 1.77E-01  A/m
-e) 1.94E-01  A/m
===16===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 7.9m from a wire carrying a current of 6.8A?}
-a) 1.14E-01  A/m
-b) 1.25E-01  A/m
+c) 1.37E-01  A/m
-d) 1.50E-01  A/m
-e) 1.65E-01  A/m
===17===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 4.2m from a wire carrying a current of 4.9A?}
-a) 1.28E-01  A/m
-b) 1.41E-01  A/m
-c) 1.54E-01  A/m
-d) 1.69E-01  A/m
+e) 1.86E-01  A/m
===18===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 4.4m from a wire carrying a current of 6.9A?}
-a) 2.28E-01  A/m
+b) 2.50E-01  A/m
-c) 2.74E-01  A/m
-d) 3.00E-01  A/m
-e) 3.29E-01  A/m
===19===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 6.1m from a wire carrying a current of 5.8A?}
-a) 1.38E-01  A/m
+b) 1.51E-01  A/m
-c) 1.66E-01  A/m
-d) 1.82E-01  A/m
-e) 1.99E-01  A/m
===20===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 4.1m from a wire carrying a current of 6.7A?}
+a) 2.60E-01  A/m
-b) 2.85E-01  A/m
-c) 3.13E-01  A/m
-d) 3.43E-01  A/m
-e) 3.76E-01  A/m
===21===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 6.2m from a wire carrying a current of 4.8A?}
-a) 9.35E-02  A/m
-b) 1.02E-01  A/m
-c) 1.12E-01  A/m
+d) 1.23E-01  A/m
-e) 1.35E-01  A/m
===22===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 9.2m from a wire carrying a current of 5.7A?}
-a) 7.48E-02  A/m
-b) 8.20E-02  A/m
-c) 8.99E-02  A/m
+d) 9.86E-02  A/m
-e) 1.08E-01  A/m
===23===
{<!--c22Magnetism_ampereLaw_2-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H$ at a distance of 6.8m from a wire carrying a current of 6.5A?}
-a) 1.39E-01  A/m
+b) 1.52E-01  A/m
-c) 1.67E-01  A/m
-d) 1.83E-01  A/m
-e) 2.01E-01  A/m


## c22Magnetism_ampereLaw_v1

If ${\displaystyle H=B/\mu _{0}}$, where ${\displaystyle B}$ is magnetic field, what is ${\displaystyle H_{y}}$ at the point (3.4389,3.2037) if a current of 8.5A flows through a wire that runs along the z axis?

 a) 1.46E-01 A/m b) 1.60E-01 A/m c) 1.75E-01 A/m d) 1.92E-01 A/m e) 2.11E-01 A/m

copies
===2===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (8.6443,4.1757) if  a current of 8.2A flows through a wire that runs along the z axis?}
-a) 8.47E-02  A/m
-b) 9.29E-02  A/m
-c) 1.02E-01  A/m
-d) 1.12E-01  A/m
+e) 1.22E-01  A/m
===3===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (2.0898,3.6432) if  a current of 7.9A flows through a wire that runs along the z axis?}
-a) 1.36E-01  A/m
+b) 1.49E-01  A/m
-c) 1.63E-01  A/m
-d) 1.79E-01  A/m
-e) 1.96E-01  A/m
===4===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (6.1539,7.7549) if  a current of 6.9A flows through a wire that runs along the z axis?}
-a) 5.23E-02  A/m
-b) 5.74E-02  A/m
-c) 6.29E-02  A/m
+d) 6.90E-02  A/m
-e) 7.56E-02  A/m
===5===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (7.9293,2.4528) if  a current of 7.3A flows through a wire that runs along the z axis?}
-a) 1.11E-01  A/m
-b) 1.22E-01  A/m
+c) 1.34E-01  A/m
-d) 1.47E-01  A/m
-e) 1.61E-01  A/m
===6===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (8.0883,5.5335) if  a current of 9.6A flows through a wire that runs along the z axis?}
-a) 8.90E-02  A/m
-b) 9.76E-02  A/m
-c) 1.07E-01  A/m
-d) 1.17E-01  A/m
+e) 1.29E-01  A/m
===7===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (7.8338,2.4233) if  a current of 7.2A flows through a wire that runs along the z axis?}
-a) 1.01E-01  A/m
-b) 1.11E-01  A/m
-c) 1.22E-01  A/m
+d) 1.34E-01  A/m
-e) 1.46E-01  A/m
===8===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (8.407,2.6006) if  a current of 8.6A flows through a wire that runs along the z axis?}
-a) 1.13E-01  A/m
-b) 1.24E-01  A/m
-c) 1.36E-01  A/m
+d) 1.49E-01  A/m
-e) 1.63E-01  A/m
===9===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (5.6728,2.7403) if  a current of 7.4A flows through a wire that runs along the z axis?}
-a) 1.28E-01  A/m
-b) 1.40E-01  A/m
-c) 1.54E-01  A/m
+d) 1.68E-01  A/m
-e) 1.85E-01  A/m
===10===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (9.3623,2.8961) if  a current of 6.9A flows through a wire that runs along the z axis?}
-a) 8.90E-02  A/m
-b) 9.76E-02  A/m
+c) 1.07E-01  A/m
-d) 1.17E-01  A/m
-e) 1.29E-01  A/m
===11===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (2.8594,3.6033) if  a current of 9.8A flows through a wire that runs along the z axis?}
-a) 1.75E-01  A/m
-b) 1.92E-01  A/m
+c) 2.11E-01  A/m
-d) 2.31E-01  A/m
-e) 2.53E-01  A/m
===12===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (3.2194,2.9992) if  a current of 5.8A flows through a wire that runs along the z axis?}
-a) 1.06E-01  A/m
-b) 1.16E-01  A/m
-c) 1.28E-01  A/m
-d) 1.40E-01  A/m
+e) 1.54E-01  A/m
===13===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (6.3551,4.3477) if  a current of 4.8A flows through a wire that runs along the z axis?}
+a) 8.19E-02  A/m
-b) 8.98E-02  A/m
-c) 9.84E-02  A/m
-d) 1.08E-01  A/m
-e) 1.18E-01  A/m
===14===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (6.2097,1.9209) if  a current of 4.7A flows through a wire that runs along the z axis?}
-a) 8.34E-02  A/m
-b) 9.14E-02  A/m
-c) 1.00E-01  A/m
+d) 1.10E-01  A/m
-e) 1.21E-01  A/m
===15===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (5.1588,1.5958) if  a current of 5A flows through a wire that runs along the z axis?}
+a) 1.41E-01  A/m
-b) 1.54E-01  A/m
-c) 1.69E-01  A/m
-d) 1.86E-01  A/m
-e) 2.03E-01  A/m
===16===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (5.7803,5.3849) if  a current of 6.8A flows through a wire that runs along the z axis?}
-a) 6.93E-02  A/m
-b) 7.60E-02  A/m
-c) 8.34E-02  A/m
-d) 9.14E-02  A/m
+e) 1.00E-01  A/m
===17===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (2.0898,3.6432) if  a current of 4.9A flows through a wire that runs along the z axis?}
-a) 6.39E-02  A/m
-b) 7.01E-02  A/m
-c) 7.68E-02  A/m
-d) 8.43E-02  A/m
+e) 9.24E-02  A/m
===18===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (1.5944,4.101) if  a current of 6.9A flows through a wire that runs along the z axis?}
-a) 6.86E-02  A/m
-b) 7.52E-02  A/m
-c) 8.25E-02  A/m
+d) 9.04E-02  A/m
-e) 9.92E-02  A/m
===19===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (2.2104,5.6854) if  a current of 5.8A flows through a wire that runs along the z axis?}
-a) 4.16E-02  A/m
-b) 4.56E-02  A/m
-c) 5.00E-02  A/m
+d) 5.48E-02  A/m
-e) 6.01E-02  A/m
===20===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (2.5486,3.2116) if  a current of 6.7A flows through a wire that runs along the z axis?}
-a) 1.23E-01  A/m
-b) 1.34E-01  A/m
-c) 1.47E-01  A/m
+d) 1.62E-01  A/m
-e) 1.77E-01  A/m
===21===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (3.854,4.8566) if  a current of 4.8A flows through a wire that runs along the z axis?}
-a) 6.37E-02  A/m
-b) 6.99E-02  A/m
+c) 7.66E-02  A/m
-d) 8.40E-02  A/m
-e) 9.21E-02  A/m
===22===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (5.7188,7.2066) if  a current of 5.7A flows through a wire that runs along the z axis?}
+a) 6.13E-02  A/m
-b) 6.72E-02  A/m
-c) 7.37E-02  A/m
-d) 8.08E-02  A/m
-e) 8.86E-02  A/m
===23===
{<!--c22Magnetism_ampereLaw_3-->If $H=B/\mu_0$, where $B$ is magnetic field, what is $H_y$ at the point (6.4963,2.0095) if  a current of 6.5A flows through a wire that runs along the z axis?}
-a) 1.33E-01  A/m
+b) 1.45E-01  A/m
-c) 1.59E-01  A/m
-d) 1.75E-01  A/m
-e) 1.92E-01  A/m


## c22Magnetism_ampereLaw_v1

A very long and thin solenoid has 1331 turns and is 140 meters long. The wire carrys a current of 9.6A. What is the magnetic field in the center?

 a) 8.70E-05 Tesla b) 9.54E-05 Tesla c) 1.05E-04 Tesla d) 1.15E-04 Tesla e) 1.26E-04 Tesla

copies
===2===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2705 turns and is 134 meters long.  The wire carrys a current of 8.2A. What is the magnetic field in the center?}
-a) 1.90E-04  Tesla
+b) 2.08E-04  Tesla
-c) 2.28E-04  Tesla
-d) 2.50E-04  Tesla
-e) 2.74E-04  Tesla
===3===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1254 turns and is 164 meters long.  The wire carrys a current of 9.3A. What is the magnetic field in the center?}
-a) 7.43E-05  Tesla
-b) 8.15E-05  Tesla
+c) 8.94E-05  Tesla
-d) 9.80E-05  Tesla
-e) 1.07E-04  Tesla
===4===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2543 turns and is 166 meters long.  The wire carrys a current of 9.2A. What is the magnetic field in the center?}
-a) 1.34E-04  Tesla
-b) 1.47E-04  Tesla
-c) 1.62E-04  Tesla
+d) 1.77E-04  Tesla
-e) 1.94E-04  Tesla
===5===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2762 turns and is 142 meters long.  The wire carrys a current of 9.7A. What is the magnetic field in the center?}
+a) 2.37E-04  Tesla
-b) 2.60E-04  Tesla
-c) 2.85E-04  Tesla
-d) 3.13E-04  Tesla
-e) 3.43E-04  Tesla
===6===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1070 turns and is 122 meters long.  The wire carrys a current of 8.4A. What is the magnetic field in the center?}
-a) 7.02E-05  Tesla
-b) 7.70E-05  Tesla
-c) 8.44E-05  Tesla
+d) 9.26E-05  Tesla
-e) 1.02E-04  Tesla
===7===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2647 turns and is 180 meters long.  The wire carrys a current of 9.3A. What is the magnetic field in the center?}
+a) 1.72E-04  Tesla
-b) 1.88E-04  Tesla
-c) 2.07E-04  Tesla
-d) 2.27E-04  Tesla
-e) 2.48E-04  Tesla
===8===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1634 turns and is 122 meters long.  The wire carrys a current of 9.5A. What is the magnetic field in the center?}
+a) 1.60E-04  Tesla
-b) 1.75E-04  Tesla
-c) 1.92E-04  Tesla
-d) 2.11E-04  Tesla
-e) 2.31E-04  Tesla
===9===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1016 turns and is 136 meters long.  The wire carrys a current of 7.6A. What is the magnetic field in the center?}
-a) 5.41E-05  Tesla
-b) 5.93E-05  Tesla
-c) 6.51E-05  Tesla
+d) 7.13E-05  Tesla
-e) 7.82E-05  Tesla
===10===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1992 turns and is 162 meters long.  The wire carrys a current of 8.7A. What is the magnetic field in the center?}
-a) 1.02E-04  Tesla
-b) 1.12E-04  Tesla
-c) 1.23E-04  Tesla
+d) 1.34E-04  Tesla
-e) 1.47E-04  Tesla
===11===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1946 turns and is 144 meters long.  The wire carrys a current of 9A. What is the magnetic field in the center?}
-a) 1.06E-04  Tesla
-b) 1.16E-04  Tesla
-c) 1.27E-04  Tesla
-d) 1.39E-04  Tesla
+e) 1.53E-04  Tesla
===12===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1656 turns and is 144 meters long.  The wire carrys a current of 8.4A. What is the magnetic field in the center?}
-a) 8.40E-05  Tesla
-b) 9.21E-05  Tesla
-c) 1.01E-04  Tesla
-d) 1.11E-04  Tesla
+e) 1.21E-04  Tesla
===13===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2066 turns and is 156 meters long.  The wire carrys a current of 7.6A. What is the magnetic field in the center?}
-a) 8.75E-05  Tesla
-b) 9.59E-05  Tesla
-c) 1.05E-04  Tesla
-d) 1.15E-04  Tesla
+e) 1.26E-04  Tesla
===14===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2979 turns and is 170 meters long.  The wire carrys a current of 8.1A. What is the magnetic field in the center?}
+a) 1.78E-04  Tesla
-b) 1.96E-04  Tesla
-c) 2.14E-04  Tesla
-d) 2.35E-04  Tesla
-e) 2.58E-04  Tesla
===15===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2662 turns and is 182 meters long.  The wire carrys a current of 9.2A. What is the magnetic field in the center?}
-a) 1.54E-04  Tesla
+b) 1.69E-04  Tesla
-c) 1.85E-04  Tesla
-d) 2.03E-04  Tesla
-e) 2.23E-04  Tesla
===16===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2175 turns and is 134 meters long.  The wire carrys a current of 7.6A. What is the magnetic field in the center?}
-a) 1.29E-04  Tesla
-b) 1.41E-04  Tesla
+c) 1.55E-04  Tesla
-d) 1.70E-04  Tesla
-e) 1.86E-04  Tesla
===17===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1744 turns and is 146 meters long.  The wire carrys a current of 9.5A. What is the magnetic field in the center?}
+a) 1.43E-04  Tesla
-b) 1.56E-04  Tesla
-c) 1.71E-04  Tesla
-d) 1.88E-04  Tesla
-e) 2.06E-04  Tesla
===18===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1518 turns and is 156 meters long.  The wire carrys a current of 8.9A. What is the magnetic field in the center?}
-a) 8.26E-05  Tesla
-b) 9.05E-05  Tesla
-c) 9.93E-05  Tesla
+d) 1.09E-04  Tesla
-e) 1.19E-04  Tesla
===19===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2890 turns and is 134 meters long.  The wire carrys a current of 7.7A. What is the magnetic field in the center?}
-a) 1.90E-04  Tesla
+b) 2.09E-04  Tesla
-c) 2.29E-04  Tesla
-d) 2.51E-04  Tesla
-e) 2.75E-04  Tesla
===20===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1982 turns and is 154 meters long.  The wire carrys a current of 9.1A. What is the magnetic field in the center?}
-a) 1.12E-04  Tesla
-b) 1.22E-04  Tesla
-c) 1.34E-04  Tesla
+d) 1.47E-04  Tesla
-e) 1.61E-04  Tesla
===21===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1259 turns and is 154 meters long.  The wire carrys a current of 9A. What is the magnetic field in the center?}
+a) 9.25E-05  Tesla
-b) 1.01E-04  Tesla
-c) 1.11E-04  Tesla
-d) 1.22E-04  Tesla
-e) 1.34E-04  Tesla
===22===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 2806 turns and is 118 meters long.  The wire carrys a current of 9.7A. What is the magnetic field in the center?}
-a) 2.41E-04  Tesla
-b) 2.64E-04  Tesla
+c) 2.90E-04  Tesla
-d) 3.18E-04  Tesla
-e) 3.48E-04  Tesla
===23===
{<!--c22Magnetism_ampereLaw_4-->A very long and thin solenoid has 1727 turns and is 138 meters long.  The wire carrys a current of 8.1A. What is the magnetic field in the center?}
-a) 9.66E-05  Tesla
-b) 1.06E-04  Tesla
-c) 1.16E-04  Tesla
+d) 1.27E-04  Tesla
-e) 1.40E-04  Tesla


## c22Magnetism_ampereLaw_v1

A very long and thin solenoid has 1770 turns and is 140 meters long. The wire carrys a current of 9.6A. If this solenoid is sufficiently thin, what is the line integral of${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$ along an on-axis path that starts 25 meters from the center and stops 98 meters from the center?

 a) 4.54E+03 A b) 4.98E+03 A c) 5.46E+03 A d) 5.99E+03 A e) 6.57E+03 A

copies
===2===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1223 turns and is 134 meters long.  The wire carrys a current of 8.2A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 28 meters from the center and stops 93 meters from the center?}
-a) 2.21E+03  A
-b) 2.43E+03  A
-c) 2.66E+03  A
+d) 2.92E+03  A
-e) 3.20E+03  A
===3===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2850 turns and is 164 meters long.  The wire carrys a current of 9.3A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 47 meters from the center and stops 108 meters from the center?}
-a) 5.16E+03  A
+b) 5.66E+03  A
-c) 6.20E+03  A
-d) 6.80E+03  A
-e) 7.46E+03  A
===4===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1880 turns and is 166 meters long.  The wire carrys a current of 9.2A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 48 meters from the center and stops 102 meters from the center?}
+a) 3.65E+03  A
-b) 4.00E+03  A
-c) 4.38E+03  A
-d) 4.81E+03  A
-e) 5.27E+03  A
===5===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1016 turns and is 142 meters long.  The wire carrys a current of 9.7A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 27 meters from the center and stops 84 meters from the center?}
+a) 3.05E+03  A
-b) 3.35E+03  A
-c) 3.67E+03  A
-d) 4.03E+03  A
-e) 4.41E+03  A
===6===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1292 turns and is 122 meters long.  The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 39 meters from the center and stops 75 meters from the center?}
-a) 1.63E+03  A
-b) 1.78E+03  A
+c) 1.96E+03  A
-d) 2.15E+03  A
-e) 2.35E+03  A
===7===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2994 turns and is 180 meters long.  The wire carrys a current of 9.3A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 43 meters from the center and stops 101 meters from the center?}
-a) 6.63E+03  A
+b) 7.27E+03  A
-c) 7.97E+03  A
-d) 8.74E+03  A
-e) 9.58E+03  A
===8===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1513 turns and is 122 meters long.  The wire carrys a current of 9.5A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 34 meters from the center and stops 89 meters from the center?}
-a) 2.41E+03  A
-b) 2.65E+03  A
-c) 2.90E+03  A
+d) 3.18E+03  A
-e) 3.49E+03  A
===9===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1965 turns and is 136 meters long.  The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 43 meters from the center and stops 88 meters from the center?}
+a) 2.75E+03  A
-b) 3.01E+03  A
-c) 3.30E+03  A
-d) 3.62E+03  A
-e) 3.97E+03  A
===10===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1847 turns and is 162 meters long.  The wire carrys a current of 8.7A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 42 meters from the center and stops 103 meters from the center?}
-a) 2.68E+03  A
-b) 2.93E+03  A
-c) 3.22E+03  A
-d) 3.53E+03  A
+e) 3.87E+03  A
===11===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2918 turns and is 144 meters long.  The wire carrys a current of 9A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 38 meters from the center and stops 89 meters from the center?}
+a) 6.20E+03  A
-b) 6.80E+03  A
-c) 7.45E+03  A
-d) 8.17E+03  A
-e) 8.96E+03  A
===12===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2472 turns and is 144 meters long.  The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 43 meters from the center and stops 87 meters from the center?}
-a) 3.17E+03  A
-b) 3.48E+03  A
-c) 3.81E+03  A
+d) 4.18E+03  A
-e) 4.59E+03  A
===13===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2376 turns and is 156 meters long.  The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 49 meters from the center and stops 102 meters from the center?}
-a) 2.32E+03  A
-b) 2.55E+03  A
-c) 2.79E+03  A
-d) 3.06E+03  A
+e) 3.36E+03  A
===14===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1409 turns and is 170 meters long.  The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 37 meters from the center and stops 100 meters from the center?}
-a) 2.94E+03  A
+b) 3.22E+03  A
-c) 3.53E+03  A
-d) 3.87E+03  A
-e) 4.25E+03  A
===15===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2240 turns and is 182 meters long.  The wire carrys a current of 9.2A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 47 meters from the center and stops 109 meters from the center?}
-a) 4.14E+03  A
-b) 4.54E+03  A
+c) 4.98E+03  A
-d) 5.46E+03  A
-e) 5.99E+03  A
===16===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2219 turns and is 134 meters long.  The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?}
-a) 2.41E+03  A
-b) 2.64E+03  A
+c) 2.89E+03  A
-d) 3.17E+03  A
-e) 3.48E+03  A
===17===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2682 turns and is 146 meters long.  The wire carrys a current of 9.5A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?}
-a) 3.84E+03  A
-b) 4.21E+03  A
-c) 4.62E+03  A
+d) 5.06E+03  A
-e) 5.55E+03  A
===18===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1259 turns and is 156 meters long.  The wire carrys a current of 8.9A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 35 meters from the center and stops 90 meters from the center?}
-a) 2.82E+03  A
+b) 3.09E+03  A
-c) 3.39E+03  A
-d) 3.71E+03  A
-e) 4.07E+03  A
===19===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2763 turns and is 134 meters long.  The wire carrys a current of 7.7A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 34 meters from the center and stops 86 meters from the center?}
-a) 3.97E+03  A
-b) 4.36E+03  A
-c) 4.78E+03  A
+d) 5.24E+03  A
-e) 5.74E+03  A
===20===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2774 turns and is 154 meters long.  The wire carrys a current of 9.1A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 38 meters from the center and stops 94 meters from the center?}
-a) 4.42E+03  A
-b) 4.85E+03  A
-c) 5.32E+03  A
-d) 5.83E+03  A
+e) 6.39E+03  A
===21===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1397 turns and is 154 meters long.  The wire carrys a current of 9A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 31 meters from the center and stops 93 meters from the center?}
+a) 3.76E+03  A
-b) 4.12E+03  A
-c) 4.52E+03  A
-d) 4.95E+03  A
-e) 5.43E+03  A
===22===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 2006 turns and is 118 meters long.  The wire carrys a current of 9.7A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 30 meters from the center and stops 78 meters from the center?}
+a) 4.78E+03  A
-b) 5.24E+03  A
-c) 5.75E+03  A
-d) 6.30E+03  A
-e) 6.91E+03  A
===23===
{<!--c22Magnetism_ampereLaw_5-->A very long and thin solenoid has 1295 turns and is 138 meters long.  The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of$\int \vec H\cdot\vec{d\ell}$ along an on-axis path that starts 22 meters from the center and stops 90 meters from the center?}
-a) 2.97E+03  A
-b) 3.26E+03  A
+c) 3.57E+03  A
-d) 3.92E+03  A
-e) 4.30E+03  A