Q: A parallel-plate capacitor with plate area $$A = \pi (0.02\ \text{m})^2$ and separation d = 2.0$$\ \text{mm}$$ is connected to a 1.5$$\ \text{V}$$ AA battery. What is the charge Q$ moved from one plate to the other?

$$8.3 \times 10$$^{-12}$$\ \text{C}$$

Question 1

In the configuration shown in image (b), two point charges of equal magnitude but opposite sign are placed as shown. If the electric potential at point 1 is $$V_1$$, at point 2 is $$V_2$$, and at point 3 is $$V_3$$, which of the following correctly ranks the potentials from largest to smallest?

Accepted Answer

$$V_1$$ \u003e $$V_2$$ \u003e $$V_3$$

Question 2

A $$2.0\ 	ext{nC}$$ point charge is placed at the center of two concentric circles as shown in the second image. What is the potential difference $$\Delta V_{AB}$$ between points A and B?

Accepted Answer

$$0\ 	ext{V}$$

Question 3

In the parallel-plate capacitor shown in the third image, what is the ratio $$\frac{V_2$}{V_1$} of $$the electric potential at points 2 and 1, given that the electric field between the plates is uniform?

Accepted Answer

$$3$$

Question 4

For the equipotential map shown in the fourth image, which point has the largest electric field strength?

Accepted Answer

Point 3

Question 5

In the fifth image, the electric field is $$E = 1200\ 	ext{V/m}$$ and points A and B are separated by $$5.0\ 	ext{cm} at an $$angle of $$30^\circ to $$the field. If the potential at A is $$-300\ 	ext{V}$$, what is the potential at B?

Accepted Answer

$$-352\ 	ext{V}$$

Question 6

A parallel-plate capacitor with plate area $$A = \pi (0.02\ 	ext{m})^2$ and separation d = 2.0$$\ 	ext{mm}$$ is connected to a 1.5$$\ 	ext{V}$$ AA battery. What is the charge Q$ moved from one plate to the other?

Accepted Answer

$$8.3 	imes 10$$^{-12}$$\ 	ext{C}$$

Question 7

Which statement about electric potential is correct?

Accepted Answer

Electric potential is a scalar quantity.

Question 8

In a region between two parallel plates, the electric field is constant. If the distance between the plates is doubled, what happens to the electric potential difference $$\Delta V$$ between the plates, assuming the electric field remains unchanged?

Accepted Answer

$$\Delta V$$ doubles

Question 9

If the electric field between two parallel plates is $$E$$ and the potential difference is $$\Delta V$$, what is the relationship between $$E$$, $$\Delta V$$, and the plate separation $$d$$?

Accepted Answer

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

Question 10

A point charge $$Q$$ creates an electric potential $$V at a $$distance $$r. $$Which equation correctly expresses this potential?

Accepted Answer

$$V = \frac{kQ}{r}$$

Question 11

In a region with non-uniform electric field, the electric field strength is greatest where:

Accepted Answer

The equipotential lines are closest together.

Question 12

If a battery is connected to a capacitor, what determines the final potential difference across the capacitor plates?

Accepted Answer

The potential difference across the battery terminals.

Question 13

Which of the following statements about equipotential lines is correct?

Accepted Answer

Equipotential lines are always perpendicular to electric field lines.

Question 14

A student moves a test charge from point A to point B in a uniform electric field. If the displacement is perpendicular to the field, what is the change in electric potential?

Accepted Answer

Zero

Question 15

In the context of electric potential, what does it mean for points to be on an equipotential line?

Accepted Answer

All points have the same electric potential.

Question 16

A parallel-plate capacitor is charged by a battery. If the plate separation is decreased while keeping the battery connected, what happens to the charge on the plates?

Accepted Answer

The charge increases.

Question 17

If the electric field between two plates is $$20,000\ 	ext{V/m}$$ and the plates are separated by $$0.01\ 	ext{m}$$, what is the potential difference between the plates?

Accepted Answer

$$200\ 	ext{V}$$

Question 18

Which of the following best describes the direction of the electric field relative to equipotential surfaces?

Accepted Answer

The electric field points perpendicular to equipotential surfaces, from higher to lower potential.

Question 19

A $$1.5\ 	ext{V}$$ battery is connected to a parallel-plate capacitor. If the plates are $$2\ 	ext{mm}$$ apart, what is the electric field between the plates?

Accepted Answer

$$750\ 	ext{V/m}$$

Question 20

If two points are separated by a distance $$d in a $$uniform electric field $$E$$, what is the potential difference $$\Delta V$$ between them?

Accepted Answer

$$\Delta V = Ed$$

Electric Potential and Field Study Guide (Chapter 21)

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