1 A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where B = {\displaystyle {\mathcal {B}}=}
2 A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=}
3 A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where F = {\displaystyle {\mathcal {F}}=}
4 A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=} :
5 A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where D 2 + E 2 = {\displaystyle {\mathcal {D}}^{2}+{\mathcal {E}}^{2}=} :
6 A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where A = {\displaystyle {\mathcal {A}}=} :
7 A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=} :
8 A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=} :
9 A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=} :
10 A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=} :
11 A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where F = {\displaystyle {\mathcal {F}}=} :
12 A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where C = {\displaystyle {\mathcal {C}}=} :
13 A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? A n s w e r {\displaystyle Answer} (assuming B > A {\displaystyle {\mathcal {B}}>{\mathcal {A}}} ) i s : 1 4 π ϵ 0 ∫ A B C λ d s [ D 2 + E 2 ] F {\displaystyle is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}} , where D 2 + E 2 = {\displaystyle {\mathcal {D}}^{2}+{\mathcal {E}}^{2}=} :