Q: Given $$\mathcal{E} = 82.0\,\text{V}$$, $$R_1 = 43.6$$\,\Omega$$, R_2$ = 2.00\,\Omega$$, and $$C = 5.00\,\mu\text{F}$$, what is the charge stored on the capacitor after it is fully charged?

$$Q_C = 17.6 \times 10$$^{-6}$$\,\text{C}$$

Q: Which equation describes the force on a charged particle moving in both electric and magnetic fields?

$$\vec{F} = Q (\vec{E} + \vec{v} \times \vec{B})$$

Q: Which of the following is the correct expression for the magnetic force on a current-carrying wire of length $$\ell in a $$uniform magnetic field $$\vec{B}$$?

$$\vec{F}_B = I \vec{\ell} \times \vec{B}$$

Q: Which of the following is NOT a Maxwell equation?

$$\vec{E} = \vec{B} \times \vec{A}$$

Q: What is the vector magnetic torque $$\vec{\tau} on a $$current loop with magnetic dipole moment $$\vec{\mu} in a $$magnetic field $$\vec{B}$$?

$$\vec{\tau} = \vec{\mu} \times \vec{B}$$

Q: What is the value of the permeability of free space $$\mu_0$?

$$\mu_0$ = 4\pi \times 10$$^{-7}$$\,\text{N} \text{A}^{-2}$$

Question 1

A circuit contains a battery with emf $$\mathcal{E}$$, two resistors $$R_1$$ and $$R_2$$, and a capacitor $$C as $$shown. After the capacitor is fully charged, what is the current through $$R_2$$?

Accepted Answer

$$I_{R_2$} = 0$$

Question 2

Given $$\mathcal{E} = 82.0\,	ext{V}$$, $$R_1 = 43.6$$\,\Omega$$, R_2$ = 2.00\,\Omega$$, and $$C = 5.00\,\mu	ext{F}$$, what is the charge stored on the capacitor after it is fully charged?

Accepted Answer

$$Q_C = 17.6 	imes 10$$^{-6}$$\,	ext{C}$$

Question 3

Which equation describes the force on a charged particle moving in both electric and magnetic fields?

Accepted Answer

$$\vec{F} = Q (\vec{E} + \vec{v} 	imes \vec{B})$$

Question 4

A positive charge moves with velocity $$\vec{v}$$ perpendicular to a uniform magnetic field $$\vec{B}. $$What is the direction of the force $$\vec{F}_B$$ acting on the charge?

Accepted Answer

Perpendicular to both $$\vec{v}$$ and $$\vec{B}$$

Question 5

Which of the following is the correct expression for the magnetic force on a current-carrying wire of length $$\ell in a $$uniform magnetic field $$\vec{B}$$?

Accepted Answer

$$\vec{F}_B = I \vec{\ell} 	imes \vec{B}$$

Question 6

A wire carrying current $$I is $$placed in a magnetic field $$\vec{B} at an $$angle $$\phi to $$the field. What is the magnitude of the force on a segment of length $$b$$?

Accepted Answer

$$I b B \sin \phi$$

Question 7

Which of the following is NOT a Maxwell equation?

Accepted Answer

$$\vec{E} = \vec{B} 	imes \vec{A}$$

Question 8

What is the vector magnetic torque $$\vec{	au} on a $$current loop with magnetic dipole moment $$\vec{\mu} in a $$magnetic field $$\vec{B}$$?

Accepted Answer

$$\vec{	au} = \vec{\mu} 	imes \vec{B}$$

Question 9

A charged particle moves in a region where $$\vec{E} = 0$$ and $$\vec{B} is $$uniform. If the velocity is not parallel to $$\vec{B}$$, what is the path of the particle?

Accepted Answer

Circular or helical

Question 10

What is the potential energy $$U of a $$magnetic dipole $$\vec{\mu} in a $$magnetic field $$\vec{B} at $$angle $$\phi$$?

Accepted Answer

$$U = -\mu B \cos \phi$$

Question 11

In a solenoid, what is the direction of the magnetic field inside the coil?

Accepted Answer

Parallel to the axis

Question 12

Which configuration of a current loop in a magnetic field yields maximum torque?

Accepted Answer

When $$\vec{\mu} is $$perpendicular to $$\vec{B}$$

Question 13

A wire segment of length $$l$$ carries current $$I in a $$region with uniform magnetic field $$\vec{B}. If $$the current is perpendicular to $$\vec{B}$$, what is the magnitude of the force?

Accepted Answer

$$F = I l B$$

Question 14

Which of the following best describes the relationship between electric field $$\vec{E}$$ and electric potential $$V$$?

Accepted Answer

$$\vec{E} = -
abla V$$

Question 15

What is the expression for the magnetic dipole moment $$\vec{\mu} of a $$current loop?

Accepted Answer

$$\vec{\mu} = I \vec{A}$$

Question 16

Which Maxwell equation describes the absence of magnetic monopoles?

Accepted Answer

$$
abla \cdot \vec{B} = 0$$

Question 17

A charged particle moves in a magnetic field. Which path will a negatively charged particle follow if the field points into the page and the velocity is to the right?

Accepted Answer

Path 3 (downward)

Question 18

What is the value of the permeability of free space $$\mu_0$?

Accepted Answer

$$\mu_0$ = 4\pi 	imes 10$$^{-7}$$\,	ext{N} 	ext{A}^{-2}$$

Magnetic Forces and Circuits with Capacitors: Study Notes for Physics with Calculus

Guida di studio - Domande di pratica

Study guide - Flashcard