Q: According to Snell’s law, what is the relationship between the angles and indices of refraction for light passing from medium $$a to $$medium $$b$$?

$$n_a \sin \theta_a = n_b \sin \theta_b$$

Q: What is the critical angle $$\theta_{crit}$$ for total internal reflection when light passes from medium $$a to $$medium $$b$$?

$$\sin \theta_{crit} = \frac{n_b}{n_a}$$

Question 1

The image above shows a long, straight conductor carrying a current. According to the right-hand rule, what is the direction of the magnetic field at a point directly above the wire?

Accepted Answer

Out of the page

Question 2

A charged particle moves with velocity $$\vec{v}$$ perpendicular to a uniform magnetic field $$\vec{B}. $$What is the magnitude of the force acting on the particle?

Accepted Answer

$$F = |q|vB$$

Question 3

A mass spectrometer uses a velocity selector with electric field $$E$$ and magnetic field $$B. $$What is the velocity of particles that pass through undeflected?

Accepted Answer

$$v = \frac{E}{B}$$

Question 4

A proton moves in a circle of radius $$R in a $$uniform magnetic field $$B. $$What is the expression for the radius $$R$$?

Accepted Answer

$$R = \frac{mv}{|q|B}$$

Question 5

Two parallel wires carry currents $$I$$ and $$I' in $$the same direction. What is the force per unit length between them?

Accepted Answer

$$\frac{F}{l} = \frac{\mu_0$ I I'}{2\pi r}$$

Question 6

What is the magnetic field at the center of a loop of radius $$R$$ with $$N$$ turns carrying current $$I$$?

Accepted Answer

$$B = \frac{\mu_0$ N I}{2R}$$

Question 7

A solenoid has $$n$$ turns per unit length and carries current $$I. $$What is the magnetic field inside the solenoid?

Accepted Answer

$$B = \mu_0$ n I$$

Question 8

According to Faraday's law, what is the induced emf in a coil with $$N$$ turns when the magnetic flux changes by $$\Delta \Phi_B in $$time $$\Delta t$$?

Accepted Answer

$$\epsilon = N \frac{\Delta \Phi_B}{\Delta t}$$

Question 9

A slide-wire generator moves with velocity $$v in a $$magnetic field $$B$$ over a length $$L. $$What is the induced emf?

Accepted Answer

$$\epsilon = B L v$$

Question 10

A transformer has primary voltage $$V_1$$ and secondary voltage $$V_2$$, with $$N_1$$ and $$N_2$$ turns respectively. What is the correct relationship?

Accepted Answer

$$\frac{V_2$}{V_1$} = \frac{N_2$}{N_1$}$$

Question 11

What is the energy stored in an inductor with inductance $$L$$ carrying current $$I$$?

Accepted Answer

$$U = \frac{1}{2} L I^2$

Question 12

What is the speed of light in vacuum in terms of the permittivity $$\$$epsilon_0$$ and permeability $$\$$mu_0$$?

Accepted Answer

$$c = \frac{1}{\sqrt{\$$epsilon_0$$ \mu_0$}}$$

Question 13

For electromagnetic waves in vacuum, what is the relationship between the electric field $$E$$ and the magnetic field $$B$$?

Accepted Answer

$$E = c B$$

Question 14

A light wave has wavelength $$\lambda$$ and frequency $$f. $$What is the speed of the wave?

Accepted Answer

$$v = \lambda f$$

Question 15

What is the index of refraction $$n of a $$material if the speed of light in the material is $$v$$?

Accepted Answer

$$n = \frac{c}{v}$$

Question 16

According to Snell’s law, what is the relationship between the angles and indices of refraction for light passing from medium $$a to $$medium $$b$$?

Accepted Answer

$$n_a \sin 	heta_a = n_b \sin 	heta_b$$

Question 17

What is the critical angle $$	heta_{crit}$$ for total internal reflection when light passes from medium $$a to $$medium $$b$$?

Accepted Answer

$$\sin 	heta_{crit} = \frac{n_b}{n_a}$$

Question 18

Unpolarized light of intensity $$I_0$$ passes through a polarizer. What is the intensity $$I_1 of $$the transmitted light?

Accepted Answer

$$I_1$$ = \frac{$$I_0$$}{2}$$

Question 19

Linearly polarized light of intensity $$I_{max}$$ strikes a polarizing filter at angle $$\phi to $$the axis. What is the transmitted intensity?

Accepted Answer

$$I = I_{max} \cos^2$ \phi$$

PHY2054 Study Guide: Magnetic Fields, Electromagnetic Induction, and Electromagnetic Waves

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