Question 1

Which of the following correctly ranks the resistances of five cylindrical resistors made of the same material, but with different diameters and lengths, from greatest to least?

Accepted Answer

D. $$R_d \u003e R_c \u003e R_a \u003e R_b \u003e R_e$$

Question 2

The resistance $$R of a $$cylindrical resistor is given by which of the following formulas?

Accepted Answer

$$R = \rho \frac{L}{A}$$

Question 3

In a simple circuit with an ideal battery of emf $$\mathcal{E}$$ and a resistor $$R$$, which of the following statements is NOT true?

Accepted Answer

D. The power supplied by the battery is $$P = \mathcal{E}^2/(2R).$$

Question 4

A battery is connected to four different light bulbs in a circuit. If the electric currents are measured at points A, B, C, D, and E, what is the correct ranking of these currents from highest to lowest?

Accepted Answer

C. $$I_A = I_B = I_C = I_E \u003e I_D$$

Question 5

Which arrangement of three identical capacitors results in the largest equivalent capacitance?

Accepted Answer

B. All capacitors in parallel: $$C_{eq} = 3C$$

Question 6

If a straight bar magnet is cut in half, what will be the magnetic properties of the right half?

Accepted Answer

B. It will contain a north pole on the right and a south pole on the left.

Question 7

A current-carrying wire moves in a static magnetic field directed into the page. What is the direction of the current in the red bar if the force is to the left?

Accepted Answer

B. The current flows from right to left.

Question 8

A square-shaped wire and a compass are arranged so that when the switch is turned on, the north pole of the compass needle will:

Accepted Answer

B. Rotate to align with the west.

Question 9

A lightweight solenoid is suspended from the ceiling, free to move, with an electric current flowing as illustrated. When the switch in the loop circuit is closed, the solenoid will:

Accepted Answer

B. Move in the $$-x$$ direction.

Question 10

Which of the following best explains why the power delivered by an ideal battery to a resistor is $$P = \mathcal{E}^2/R$$?

Accepted Answer

A. Because $$P = IV$$ and $$I = \mathcal{E}/R$$, so $$P = (\mathcal{E}/R)\mathcal{E}$$

Question 11

If the diameter of a cylindrical resistor is doubled while keeping its length constant, how does its resistance change?

Accepted Answer

B. The resistance is quartered.

Question 12

A solenoid is suspended and a current is passed through a nearby loop in the opposite direction. What is the resulting interaction between the solenoid and the loop?

Accepted Answer

B. They repel each other.

Question 13

Which of the following is true about the current at a junction in a circuit where the current splits into two branches?

Accepted Answer

B. The sum of the currents in the branches equals the total current entering the junction.

Question 14

If three identical capacitors are connected in series, what is the equivalent capacitance?

Accepted Answer

C. $$C_{eq} = \frac{C}{3}$$

Step-by-Step Guidance for College Physics: Circuits, Resistance, Magnetism, and Capacitance

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