Question 1

A charge of $$+2\ \mu C is $$fixed at the origin. What is the magnitude of the electric field at a point $$0.5\ m$$ away from the charge? Use $$k = 8.99 	imes 10^9$\ N\cdot m^2$/C^2$.

Accepted Answer

$$7.19 	imes 10^4$\ N/C$$

Question 2

Two charges, $$+3\ \mu C$$ and $$-3\ \mu C$$, are placed $$2\ m$$ apart. What is the direction of the electric field at the midpoint between them?

Accepted Answer

From the positive charge to the negative charge

Question 3

A parallel plate capacitor has plates of area $$0.2\ m^2$ separated by 1$$\ mm$$ and is filled with air. What is its capacitance? ($$\$$varepsilon_0 = 8.85$$ 	imes $$10^{-12}$$\ F/m$$)

Accepted Answer

$$1.77 	imes 10$$^{-9}$$\ F$$

Question 4

A wire of length $$0.5\ m$$ carries a current of $$2\ A$$ and is placed in a uniform magnetic field of $$0.3\ T$$ perpendicular to the wire. What is the magnitude of the force on the wire?

Accepted Answer

$$0.3\ N$$

Question 5

A resistor of $$10\ \Omega is $$connected in series with a $$20\ \Omega$$ resistor and a $$12\ V$$ battery. What is the current in the circuit?

Accepted Answer

$$0.4\ A$$

Question 6

A ray of light passes from air ($$n=1.0) $$into glass ($$n=1.5) at an $$angle of $$30^\circ to $$the normal. What is the angle of refraction in the glass?

Accepted Answer

$$19.5^\circ$$

Question 7

A coil with $$N=20$$ turns and area $$A=0.03\ m^2$ is rotated in a uniform magnetic field B=0.5$$\ T$$ at a frequency f=60$$\ Hz$$. What is the maximum induced emf?

Accepted Answer

$$56.5\ V$$

Question 8

A $$5\ \mu F$$ capacitor is charged to $$10\ V. $$How much energy is stored in the capacitor?

Accepted Answer

$$2.5 	imes 10$$^{-4}$$\ J$$

Question 9

A $$2\ m$$ long rod moves at $$5\ m/s$$ perpendicular to a $$0.4\ T$$ magnetic field. What is the emf induced across the ends of the rod?

Accepted Answer

$$4\ V$$

Question 10

A light ray in water ($$n=1.33) $$strikes the water-air interface at $$60^\circ to $$the normal. What is the angle of refraction in air?

Accepted Answer

$$90^\circ$$

Question 11

A $$10\ \Omega$$ resistor and a $$20\ \Omega$$ resistor are connected in parallel. What is the equivalent resistance?

Accepted Answer

$$6.67\ \Omega$$

Question 12

A $$1.0\ m$$ long wire carries a current of $$5.0\ A$$ and is placed in a $$0.2\ T$$ magnetic field at an angle of $$30^\circ to $$the field. What is the magnitude of the force on the wire?

Accepted Answer

$$0.5\ N$$

Question 13

A $$100\ \Omega$$ resistor is connected to a $$120\ V AC $$source. What is the rms current?

Accepted Answer

$$1.2\ A$$

Question 14

A $$2\ \mu F$$ and a $$4\ \mu F$$ capacitor are connected in series. What is the equivalent capacitance?

Accepted Answer

$$1.33\ \mu F$$

Question 15

A $$10\ cm$$ tall object is placed $$30\ cm$$ from a converging lens with a focal length of $$10\ cm. $$What is the image height?

Accepted Answer

$$10\ cm$$

Question 16

A $$0.5\ m$$ long solenoid has $$1000$$ turns and carries a current of $$2\ A. $$What is the magnetic field inside the solenoid? ($$\mu_0$ = 4\pi 	imes 10$$^{-7}$$\ T\cdot m/A)$$

Accepted Answer

$$5.03 	imes 10$$^{-3}$$\ T$$

Question 17

A $$60\ W$$ light bulb operates at $$120\ V. $$What is the current through the bulb?

Accepted Answer

$$0.5\ A$$

Question 18

A $$2\ \Omega$$ resistor, a $$4\ \Omega$$ resistor, and a $$6\ \Omega$$ resistor are connected in series to a $$24\ V$$ battery. What is the voltage drop across the $$4\ \Omega$$ resistor?

Accepted Answer

$$8\ V$$

Question 19

A $$10\ \mu F$$ capacitor is connected to a $$100\ V$$ battery. How much charge is stored on the capacitor?

Accepted Answer

$$1.0 	imes 10$$^{-3}$$\ C$$

Question 20

A $$0.5\ m$$ long rod moves at $$10\ m/s$$ perpendicular to a $$0.2\ T$$ magnetic field. What is the emf induced across the ends of the rod?

Accepted Answer

$$1\ V$$

Step-by-Step Physics Study Guidance: Electric Fields, Circuits, Magnetism, and Optics

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