# Physics equations/19-Electric Potential and Electric Field/Q:capacitance

These questions need to be checked again after the A0 bug has been repaired.

## A

1 A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.85 kV. What is the capacitance?

 a) 8.44 nF. b) 9.7 nF. c) 11.16 nF. d) 12.83 nF. e) 14.76 nF.

2 The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 2.85 kV. How much charge is stored?

 a) 24.05 μC. b) 27.65 μC. c) 31.8 μC. d) 36.57 μC. e) 42.06 μC.

3 A 0.8 Farad capacitor is charged with 1.5 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

 a) 1.76 kV/m. b) 2.03 kV/m. c) 2.33 kV/m. d) 2.68 kV/m. e) 3.08 kV/m.

4 A 0.8 Farad capacitor charged with 1.5 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

 a) 0.8 J. b) 0.92 J. c) 1.06 J. d) 1.22 J. e) 1.41 J.

5 A 0.8 Farad capacitor charged with 1.5 Coulombs. What is the force between the plates if they are 0.7 mm apart?

 a) 2009 N. b) 2310 N. c) 2657 N. d) 3055 N. e) 3514 N.

## B

1 A parallel plate capacitor has both plates with an area of 1.25 m2. The separation between the plates is 0.83mm. Applied to the plates is a potential difference of 4.65 kV. What is the capacitance?

 a) 8.77 nF. b) 10.08 nF. c) 11.6 nF. d) 13.33 nF. e) 15.33 nF.

2 The same parallel plate capacitor, with area 1.25 m2, plate separation 0.83mm, and an applied voltage of 4.65 kV. How much charge is stored?

 a) 35.45 μC. b) 40.77 μC. c) 46.89 μC. d) 53.92 μC. e) 62.01 μC.

3 A 0.6 Farad capacitor is charged with 1.5 Coulombs. What is the value of the electric field if the plates are 0.8 mm apart?

 a) 3.13 kV/m. b) 3.59 kV/m. c) 4.13 kV/m. d) 4.75 kV/m. e) 5.47 kV/m.

4 A 0.6 Farad capacitor charged with 1.5 Coulombs. What is the energy stored in the capacitor if the plates are 0.8 mm apart?

 a) 1.07 J. b) 1.23 J. c) 1.42 J. d) 1.63 J. e) 1.88 J.

5 A 0.6 Farad capacitor charged with 1.5 Coulombs. What is the force between the plates if they are 0.8 mm apart?

 a) 1772 N. b) 2038 N. c) 2344 N. d) 2695 N. e) 3100 N.

## C

1 A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

 a) 8.39 nF. b) 9.65 nF. c) 11.1 nF. d) 12.76 nF. e) 14.68 nF.

2 The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

 a) 12.23 μC. b) 14.07 μC. c) 16.18 μC. d) 18.61 μC. e) 21.4 μC.

3 A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

 a) 2.68 kV/m. b) 3.08 kV/m. c) 3.54 kV/m. d) 4.07 kV/m. e) 4.69 kV/m.

4 A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

 a) 0.44 J. b) 0.51 J. c) 0.58 J. d) 0.67 J. e) 0.77 J.

5 A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

 a) 1473 N. b) 1694 N. c) 1948 N. d) 2241 N. e) 2577 N.

## D

1 A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

 a) 3.28 nF. b) 3.77 nF. c) 4.34 nF. d) 4.99 nF. e) 5.74 nF.

2 The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

 a) 16.57 μC. b) 19.06 μC. c) 21.92 μC. d) 25.21 μC. e) 28.99 μC.

3 A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

 a) 3.46 kV/m. b) 3.98 kV/m. c) 4.57 kV/m. d) 5.26 kV/m. e) 6.05 kV/m.

4 A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

 a) 2.23 J. b) 2.56 J. c) 2.94 J. d) 3.39 J. e) 3.89 J.

5 A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

 a) 3180 N. b) 3657 N. c) 4206 N. d) 4837 N. e) 5562 N.

## E

1 A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

 a) 12 nF. b) 13.8 nF. c) 15.88 nF. d) 18.26 nF. e) 21 nF.

2 The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

 a) 40.39 μC. b) 46.45 μC. c) 53.42 μC. d) 61.43 μC. e) 70.65 μC.

3 A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

 a) 1.57 kV/m. b) 1.8 kV/m. c) 2.07 kV/m. d) 2.38 kV/m. e) 2.74 kV/m.

4 A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

 a) 1.08 J. b) 1.24 J. c) 1.43 J. d) 1.64 J. e) 1.89 J.

5 A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

 a) 2381 N. b) 2738 N. c) 3149 N. d) 3621 N. e) 4164 N.

## F

1 A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

 a) 11.16 nF. b) 12.83 nF. c) 14.76 nF. d) 16.97 nF. e) 19.52 nF.

2 The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

 a) 42.21 μC. b) 48.54 μC. c) 55.82 μC. d) 64.19 μC. e) 73.82 μC.

3 A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

 a) 1.91 kV/m. b) 2.19 kV/m. c) 2.52 kV/m. d) 2.9 kV/m. e) 3.33 kV/m.

4 A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

 a) 0.81 J. b) 0.93 J. c) 1.07 J. d) 1.23 J. e) 1.41 J.

5 A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

 a) 2319 N. b) 2667 N. c) 3067 N. d) 3527 N. e) 4056 N.

## G

1 A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

 a) 6.95 nF. b) 7.99 nF. c) 9.19 nF. d) 10.57 nF. e) 12.15 nF.

2 The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

 a) 39.05 μC. b) 44.91 μC. c) 51.64 μC. d) 59.39 μC. e) 68.3 μC.

3 A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

 a) 0.86 kV/m. b) 0.99 kV/m. c) 1.14 kV/m. d) 1.31 kV/m. e) 1.51 kV/m.

4 A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

 a) 0.38 J. b) 0.43 J. c) 0.5 J. d) 0.57 J. e) 0.66 J.

5 A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

 a) 412 N. b) 474 N. c) 545 N. d) 626 N. e) 720 N.

## H

1 A parallel plate capacitor has both plates with an area of 1.35 m2. The separation between the plates is 1.23mm. Applied to the plates is a potential difference of 2.65 kV. What is the capacitance?

 a) 7.35 nF. b) 8.45 nF. c) 9.72 nF. d) 11.18 nF. e) 12.85 nF.

2 The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

 a) 16.93 μC. b) 19.47 μC. c) 22.39 μC. d) 25.75 μC. e) 29.62 μC.

3 A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

 a) 3.2 kV/m. b) 3.68 kV/m. c) 4.24 kV/m. d) 4.87 kV/m. e) 5.6 kV/m.

4 A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

 a) 0.91 J. b) 1.05 J. c) 1.21 J. d) 1.39 J. e) 1.6 J.

5 A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

 a) 4025 N. b) 4628 N. c) 5322 N. d) 6121 N. e) 7039 N.

## I

1 A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

 a) 16.16 nF. b) 18.59 nF. c) 21.37 nF. d) 24.58 nF. e) 28.27 nF.

2 The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

 a) 23.91 μC. b) 27.5 μC. c) 31.62 μC. d) 36.37 μC. e) 41.82 μC.

3 A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

 a) 3.71 kV/m. b) 4.27 kV/m. c) 4.91 kV/m. d) 5.65 kV/m. e) 6.5 kV/m.

4 A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

 a) 1.28 J. b) 1.47 J. c) 1.69 J. d) 1.94 J. e) 2.24 J.

5 A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

 a) 1826 N. b) 2099 N. c) 2414 N. d) 2776 N. e) 3193 N.

## J

1 A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

 a) 7.16 nF. b) 8.24 nF. c) 9.47 nF. d) 10.9 nF. e) 12.53 nF.

2 The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

 a) 29.25 μC. b) 33.63 μC. c) 38.68 μC. d) 44.48 μC. e) 51.15 μC.

3 A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

 a) 2.43 kV/m. b) 2.79 kV/m. c) 3.21 kV/m. d) 3.7 kV/m. e) 4.25 kV/m.

4 A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

 a) 1.81 J. b) 2.08 J. c) 2.39 J. d) 2.75 J. e) 3.16 J.

5 A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

 a) 2065 N. b) 2375 N. c) 2732 N. d) 3141 N. e) 3613 N.