Q: What is the electric field strength between two parallel plates separated by $$6.8\ \mathrm{mm}$$ with a potential difference of $$220\ \mathrm{V}$$?

$$3.2 \times 10^4$\ \mathrm{V/m}$$

Q: Point a is $$62\ \mathrm{cm}$$ north of a point charge, and point b is $$88\ \mathrm{cm}$$ west of the charge. What is $$V_b - V_a$$?

$$1.6 \times 10^4$\ \mathrm{V}$$

Q: A $$7.7\ \mu\mathrm{F}$$ capacitor is charged by a $$165\ \mathrm{V}$$ battery. When this capacitor ($$C_1) is $$then connected to a second (initially uncharged) capacitor, $$C_2$$, the final voltage on each capacitor is $$15\ \mathrm{V}. $$What is the value of $$C_2$$?

$$7.7 \times 10$$^{-5}$$\ \mathrm{F}$$

Q: How much energy is stored by the electric field between two square plates, $$8.0\ \mathrm{cm} on a $$side, separated by a $$1.5\ \mathrm{mm}$$ air gap, with charges of $$370\ \mu\mathrm{C}$$?

$$1.8 \times 10^3$\ \mathrm{J}$$

Q: A $$7.7\ \mu\mathrm{F}$$ capacitor is charged to $$165\ \mathrm{V}$$ and then connected in parallel to an uncharged capacitor $$C_2. If $$the final voltage is $$15\ \mathrm{V}$$, what is the total charge conserved in the system?

$$1.27 \times 10$$^{-3}$$\ \mathrm{C}$$

Q: If a $$4.2\ \mu\mathrm{C}$$ charge is placed on a capacitor and the electric field between the plates is $$2.0\ \mathrm{kV/mm}$$, what is the voltage across the plates if the separation is $$1.0\ \mathrm{mm}$$?

$$2.0 \times 10^3$\ \mathrm{V}$$

Question 1

What is the electric field strength between two parallel plates separated by $$6.8\ \mathrm{mm}$$ with a potential difference of $$220\ \mathrm{V}$$?

Accepted Answer

$$3.2 	imes 10^4$\ \mathrm{V/m}$$

Question 2

Given three point charges at the corners of a square of side $$l as $$shown in the diagram (+Q, -2Q, +3Q), what is the electric potential at point A (the fourth corner)?

Accepted Answer

$$kQ \frac{2+2}{l}$$

Question 3

Point a is $$62\ \mathrm{cm}$$ north of a point charge, and point b is $$88\ \mathrm{cm}$$ west of the charge. What is $$V_b - V_a$$?

Accepted Answer

$$1.6 	imes 10^4$\ \mathrm{V}$$

Question 4

A capacitor has opposite $$4.2\ \mu\mathrm{C}$$ charges on the plates, and an electric field of $$2.0\ \mathrm{kV/mm} is $$desired between the plates. What must each plate’s area be?

Accepted Answer

$$0.24\ \mathrm{m}^2$$

Question 5

A $$7.7\ \mu\mathrm{F}$$ capacitor is charged by a $$165\ \mathrm{V}$$ battery. When this capacitor ($$C_1) is $$then connected to a second (initially uncharged) capacitor, $$C_2$$, the final voltage on each capacitor is $$15\ \mathrm{V}. $$What is the value of $$C_2$$?

Accepted Answer

$$7.7 	imes 10$$^{-5}$$\ \mathrm{F}$$

Question 6

How much energy is stored by the electric field between two square plates, $$8.0\ \mathrm{cm} on a $$side, separated by a $$1.5\ \mathrm{mm}$$ air gap, with charges of $$370\ \mu\mathrm{C}$$?

Accepted Answer

$$1.8 	imes 10^3$\ \mathrm{J}$$

Question 7

What is the binary representation of the decimal number $$116$$?

Accepted Answer

1110100

Question 8

What is the decimal value of the binary number $$01010101$$?

Accepted Answer

85

Question 9

Which equation correctly relates the electric field $$E$$ between two parallel plates to the potential difference $$\Delta V$$ and the separation $$d$$?

Accepted Answer

$$E = \frac{\Delta V}{d}$$

Question 10

A $$7.7\ \mu\mathrm{F}$$ capacitor is charged to $$165\ \mathrm{V}$$ and then connected in parallel to an uncharged capacitor $$C_2. If $$the final voltage is $$15\ \mathrm{V}$$, what is the total charge conserved in the system?

Accepted Answer

$$1.27 	imes 10$$^{-3}$$\ \mathrm{C}$$

Question 11

If the potential at a point due to a point charge $$Q is$$ $$V = k \frac{Q}{r}$$, what happens to the potential if the distance $$r is $$doubled?

Accepted Answer

The potential is halved.

Question 12

Which formula gives the energy stored in a capacitor?

Accepted Answer

$$U = \frac{1}{2}CV^2$

Question 13

A parallel-plate capacitor is filled with air and has a capacitance $$C. If $$the area of the plates is doubled and the separation is halved, what is the new capacitance?

Accepted Answer

$$4C$$

Question 14

Which of the following best describes the direction of the electric field between two oppositely charged parallel plates?

Accepted Answer

From the positive plate to the negative plate

Question 15

If a $$4.2\ \mu\mathrm{C}$$ charge is placed on a capacitor and the electric field between the plates is $$2.0\ \mathrm{kV/mm}$$, what is the voltage across the plates if the separation is $$1.0\ \mathrm{mm}$$?

Accepted Answer

$$2.0 	imes 10^3$\ \mathrm{V}$$

Physics with Algebra: Electric Potential, Fields, and Capacitors – Step-by-Step Guidance

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