Q: A parallel-plate capacitor is connected to a 100 V battery and stores $$1.0 \times 10$$^{-2}$$ J of energy. What is the required capacitance?

$$2.0 \times 10$$^{-4}$$\ \mathrm{F}$$

Q: Two electrons are in vacuum, each at a distance of $$1.0 \times 10$$^{-9}$$\ \mathrm{m}$$ from each other. What is the magnitude of the electric force between them?

$$2.3 \times 10$$^{-8}$$\ \mathrm{N}$$

Q: A proton is released from rest at the surface of a positively charged plate and accelerates toward a negatively charged plate $$2.0\ \mathrm{cm}$$ away. If the potential difference between the plates is $$147\ \mathrm{V}$$, what is the speed of the proton when it strikes the negatively charged plate?

$$5.3 \times 10$$^{5}$$\ \mathrm{m/s}$$

Q: A long, straight wire carries a current of $$5.0\ \mathrm{A}. $$What is the magnitude of the magnetic field at a distance of $$10.0\ \mathrm{cm}$$ from the wire?

$$1.0 \times 10$$^{-4}$$\ \mathrm{T}$$

Q: Ultraviolet A (UVA) rays have a wavelength range of $$320\ \mathrm{nm} to$$ $$400\ \mathrm{nm}. $$What is the corresponding frequency range?

$$(7.5 - 9.4) \times 10$$^{14}$$\ \mathrm{Hz}$$

Q: A $$10.0\ \mathrm{cm}$$ long solenoid has $$1000$$ turns and carries a current of $$2.0\ \mathrm{A}. $$What is the magnitude of the magnetic field inside the solenoid?

$$2.5 \times 10$$^{-2}$$\ \mathrm{T}$$

Q: A $$5.0\ \mu\mathrm{F}$$ capacitor is charged to $$10.0\ \mathrm{V}$$ and then connected across a $$2.0\ \Omega$$ resistor. What is the time constant of the circuit?

$$1.0 \times 10$$^{-5}$$\ \mathrm{s}$$

Q: A $$2.0\ \mathrm{cm}$$ radius loop is placed in a uniform magnetic field of $$0.10\ \mathrm{T}$$ perpendicular to the plane of the loop. If the field is reduced to zero in $$0.50\ \mathrm{s}$$, what is the average induced emf in the loop?

$$2.5 \times 10$$^{-4}$$\ \mathrm{V}$$

Question 1

A parallel-plate capacitor is connected to a 100 V battery and stores $$1.0 	imes 10$$^{-2}$$ J of energy. What is the required capacitance?

Accepted Answer

$$2.0 	imes 10$$^{-4}$$\ \mathrm{F}$$

Question 2

Two electrons are in vacuum, each at a distance of $$1.0 	imes 10$$^{-9}$$\ \mathrm{m}$$ from each other. What is the magnitude of the electric force between them?

Accepted Answer

$$2.3 	imes 10$$^{-8}$$\ \mathrm{N}$$

Question 3

A proton is released from rest at the surface of a positively charged plate and accelerates toward a negatively charged plate $$2.0\ \mathrm{cm}$$ away. If the potential difference between the plates is $$147\ \mathrm{V}$$, what is the speed of the proton when it strikes the negatively charged plate?

Accepted Answer

$$5.3 	imes 10$$^{5}$$\ \mathrm{m/s}$$

Question 4

A disk of radius $$10.0\ \mathrm{cm} is in a $$uniform electric field of magnitude $$1.0 	imes 10$$^{3}$$\ \mathrm{V/m}. If $$the flux of the electric field through the disk is $$1.88 	imes 10$$^{2}$$\ \mathrm{N \cdot m^2$/C}$$, what angle $$	heta$$ does the normal to the disk make with the electric field?

Accepted Answer

$$60.0^\circ$$

Question 5

A hollow conducting sphere has inner radius $$a$$ and outer radius $$b. $$The charge density on the inner surface is $$\$$sigma_1$$. What is the electric field strength at point P$ located at distance r$ from the center of the sphere (a$$ \u003c r \u003c b$$)?

Accepted Answer

$$\dfrac{\$$sigma_1$$ a^2$}{\$$varepsilon_0$$ r^2$}$$

Question 6

A $$9.0\ \Omega$$ resistor is connected to a $$9.0\ \mathrm{V}$$ battery whose internal resistance is $$1.0\ \Omega. $$What power is dissipated by the $$9.0\ \Omega$$ resistor?

Accepted Answer

$$8.1\ \mathrm{W}$$

Question 7

A long, straight wire carries a current of $$5.0\ \mathrm{A}. $$What is the magnitude of the magnetic field at a distance of $$10.0\ \mathrm{cm}$$ from the wire?

Accepted Answer

$$1.0 	imes 10$$^{-4}$$\ \mathrm{T}$$

Question 8

A $$100\ \mu\mathrm{F}$$ capacitor has an initial charge of $$0.10\ \mathrm{C}. $$When a resistor is connected across the capacitor plates, there is an initial current through the resistor of $$100\ \mathrm{A}. $$What is the resistance?

Accepted Answer

$$1.0\ \Omega$$

Question 9

A coil of wire with $$N$$ turns and radius $$r is $$placed in a uniform magnetic field $$B$$ that is perpendicular to the plane of the coil. If the field is reduced to zero in time $$t$$, what is the average induced emf in the coil?

Accepted Answer

$$\dfrac{N \pi r^2$ B}{t}$$

Question 10

A $$60.0\ \mathrm{W}$$ lightbulb is connected across the ends of two parallel rails that are $$1.0\ \mathrm{m}$$ apart in a uniform magnetic field of $$0.50\ \mathrm{T}. If a $$metal rod is moved along the rails at $$2.0\ \mathrm{m/s}$$, what is the current through the lightbulb?

Accepted Answer

$$0.60\ \mathrm{A}$$

Question 11

Ultraviolet A (UVA) rays have a wavelength range of $$320\ \mathrm{nm} to$$ $$400\ \mathrm{nm}. $$What is the corresponding frequency range?

Accepted Answer

$$(7.5 - 9.4) 	imes 10$$^{14}$$\ \mathrm{Hz}$$

Question 12

A beam of unpolarized light passes through two polarizers. The second polarizer is at $$25^\circ$$ with respect to the first. What fraction of the original intensity is transmitted?

Accepted Answer

$$0.43$$

Question 13

A $$1.0\ \mathrm{kg}$$ mass is suspended from a wire and hangs in a uniform magnetic field. If the wire carries a current of $$10.0\ \mathrm{A}$$ and the length of the wire in the field is $$0.50\ \mathrm{m}$$, what is the minimum magnetic field required to balance the weight of the mass?

Accepted Answer

$$1.96\ \mathrm{T}$$

Question 14

A $$10.0\ \mathrm{cm}$$ long solenoid has $$1000$$ turns and carries a current of $$2.0\ \mathrm{A}. $$What is the magnitude of the magnetic field inside the solenoid?

Accepted Answer

$$2.5 	imes 10$$^{-2}$$\ \mathrm{T}$$

Question 15

A $$5.0\ \mu\mathrm{F}$$ capacitor is charged to $$10.0\ \mathrm{V}$$ and then connected across a $$2.0\ \Omega$$ resistor. What is the time constant of the circuit?

Accepted Answer

$$1.0 	imes 10$$^{-5}$$\ \mathrm{s}$$

Question 16

A $$10.0\ \Omega$$ resistor and a $$20.0\ \Omega$$ resistor are connected in parallel across a $$30.0\ \mathrm{V}$$ battery. What is the total current supplied by the battery?

Accepted Answer

$$4.5\ \mathrm{A}$$

Question 17

A $$2.0\ \mathrm{cm}$$ radius loop is placed in a uniform magnetic field of $$0.10\ \mathrm{T}$$ perpendicular to the plane of the loop. If the field is reduced to zero in $$0.50\ \mathrm{s}$$, what is the average induced emf in the loop?

Accepted Answer

$$2.5 	imes 10$$^{-4}$$\ \mathrm{V}$$

Question 18

A $$1.0\ \mathrm{m}$$ long wire carries a current of $$5.0\ \mathrm{A}$$ and is placed perpendicular to a $$0.20\ \mathrm{T}$$ magnetic field. What is the magnitude of the force on the wire?

Accepted Answer

$$1.0\ \mathrm{N}$$

Question 19

A $$10.0\ \mathrm{V}$$ battery is connected to a $$2.0\ \Omega$$ resistor and a $$3.0\ \Omega$$ resistor in series. What is the voltage drop across the $$3.0\ \Omega$$ resistor?

Accepted Answer

$$6.0\ \mathrm{V}$$

PH2200 Final Exam Study Guide: Electricity, Magnetism, and Waves

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