Q: A charged particle with charge $$q$$ moves with velocity $$\vec{v} in a $$magnetic field $$\vec{B}. $$What is the expression for the magnetic force acting on the particle?

$$\vec{F} = q\vec{v} \times \vec{B}$$

Question 1

Two identical capacitors, each with capacitance $$C$$, are connected in parallel to a battery of voltage $$V. $$What is the total energy stored in the system?

Accepted Answer

$$U = C V^2$

Question 2

Which of the following statements about capacitors in series is correct?

Accepted Answer

The total capacitance is less than any individual capacitance.

Question 3

A circuit contains three resistors: $$R_1 = 2$$\ \Omega$$, R_2$ = 4\ \Omega$$, and $$R_3 = 6$$\ \Omega$$ connected in parallel. What is the equivalent resistance R$$_{eq}$$?

Accepted Answer

$$R_{eq} = 1.09\ \Omega$$

Question 4

Which equation correctly expresses the power dissipated by a resistor with resistance $$R$$ carrying current $$I$$?

Accepted Answer

$$P = I^2$R$$

Question 5

A wire carries a current $$I$$ and is placed in a uniform magnetic field $$\vec{B}$$ perpendicular to the wire. What is the magnitude of the force on a length $$L of $$the wire?

Accepted Answer

$$F = ILB$$

Question 6

Which rule is used to determine the direction of the magnetic field around a current-carrying wire?

Accepted Answer

Right-hand rule

Question 7

A charged particle with charge $$q$$ moves with velocity $$\vec{v} in a $$magnetic field $$\vec{B}. $$What is the expression for the magnetic force acting on the particle?

Accepted Answer

$$\vec{F} = q\vec{v} 	imes \vec{B}$$

Question 8

If the current in a wire is doubled, what happens to the magnetic field at a fixed distance from the wire?

Accepted Answer

It is doubled.

Question 9

Which of the following best describes the energy stored in a capacitor?

Accepted Answer

It is proportional to the square of the voltage across the capacitor.

Question 10

A battery of voltage $$V is $$connected to two capacitors, $$C_1$$ and $$C_2$$, in series. What is the charge $$Q on $$each capacitor?

Accepted Answer

$$Q = V C_{eq}$$, where $$C_{eq} is $$the equivalent capacitance of the series combination

Question 11

Which of the following is true about the potential difference across capacitors connected in parallel?

Accepted Answer

Each capacitor has the same potential difference as the battery.

Question 12

A moving charge creates a magnetic field. Which equation describes the magnetic flux $$\Phi_B$$ through a surface?

Accepted Answer

$$\Phi_B = \int \vec{B} \cdot d\vec{A}$$

Question 13

Which of the following statements about electric current is correct?

Accepted Answer

It is the rate at which charge flows through a conductor.

Question 14

A resistor dissipates $$10\ 	ext{W} of $$power when a current of $$2\ 	ext{A}$$ flows through it. What is its resistance?

Accepted Answer

$$R = 2.5\ \Omega$$

Question 15

Which of the following is a correct application of the right-hand rule for the force on a moving charge in a magnetic field?

Accepted Answer

Point your fingers in the direction of velocity, curl them toward the magnetic field, and your thumb points in the direction of the force for a positive charge.

Question 16

A wire of length $$L$$ carries a current $$I$$ and is oriented at an angle $$	heta to a $$uniform magnetic field $$B. $$What is the magnitude of the force on the wire?

Accepted Answer

$$F = ILB \sin 	heta$$

Question 17

Which of the following best describes the effect of connecting resistors in series?

Accepted Answer

The total resistance is the sum of the individual resistances.

Question 18

A charged particle moves perpendicular to a uniform magnetic field. What is the shape of its trajectory?

Accepted Answer

Circle

Question 19

Which of the following is true about the force between two parallel wires carrying currents in the same direction?

Accepted Answer

The wires attract each other.

Physics II Exam 2 Study Guide: Capacitors, Electric Circuits, and Magnetism

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