Question 1

A proton and an electron are separated by a distance of $$1.0 	imes 10$$^{-10}$$ m (about the size of a hydrogen atom). What is the magnitude of the electric force between them? Use k = 9$$ 	imes $$10^9 N$$·m$$^2/C$^2$$ and $$e = 1.6 	imes 10$$^{-19}$$ C.

Accepted Answer

$$2.3 	imes 10$$^{-9}$$ N

Question 2

Which of the following correctly describes the direction of the electric field created by a negative point charge?

Accepted Answer

It points radially inward toward the charge.

Question 3

A $$12\ \muF $$capacitor is charged to $$6.0 V. $$What is the energy stored in the capacitor?

Accepted Answer

$$2.2 	imes 10$$^{-5}$$ J

Question 4

A wire of length $$0.5 m $$carries a current of $$3.0 A $$and is placed in a uniform magnetic field of $$0.20 T. $$The wire is oriented so that the angle between the current and the field is $$90^\circ. $$What is the magnitude of the magnetic force on the wire?

Accepted Answer

$$0.15 N$$

Question 5

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

Accepted Answer

$$6.7\ \Omega$$

Question 6

A $$5.0 m $$long solenoid has $$1000$$ turns and carries a current of $$2.0 A. $$What is the magnitude of the magnetic field inside the solenoid? ($$\mu_0$ = 4\pi 	imes 10$$^{-7}$$ T·m/A)

Accepted Answer

$$2.5 	imes 10$$^{-4}$$ T

Question 7

A $$9.0 V $$battery is connected to a $$3.0$$ $$\Omega$$ resistor. What is the current through the resistor?

Accepted Answer

$$3.0 A$$

Question 8

A parallel-plate capacitor has plates of area $$0.02 m$^2$$ separated by $$1.0 mm of $$air. What is its capacitance? ($$\$$epsilon_0$$ = 8.85 	imes 10$$^{-12}$$ C^2$/N·m^2$)

Accepted Answer

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

Question 9

A $$2.0$$ $$\muF $$capacitor is charged to $$12 V $$and then disconnected from the battery. If a $$2.0$$ $$\muF $$uncharged capacitor is connected in parallel to it, what is the final voltage across both capacitors?

Accepted Answer

$$6.0 V$$

Question 10

A $$1.0 m $$long copper wire has a resistance of $$0.015\ \Omega at$$ $$20^\circC. If $$the temperature increases by $$30^\circC $$and $$\alpha = 0.0039$$ $$^\circC$^{-1}$$, what is the new resistance?

Accepted Answer

$$0.017$$ $$\Omega$$

Question 11

A $$4.0$$ $$\Omega$$ and a $$6.0$$ $$\Omega$$ resistor are connected in series to a $$24 V $$battery. What is the power dissipated in the $$6.0$$ $$\Omega$$ resistor?

Accepted Answer

$$9.6 W$$

Question 12

A $$1.0 nC $$charge is placed at a distance of $$0.10 m $$from a point in space. What is the electric potential at that point due to this charge? ($$k = 9 	imes 10^9$ N·m^2$/C^2$)

Accepted Answer

$$90 V$$

Question 13

A $$2.0$$ $$\muF $$capacitor is charged through a $$1.0 M$\Omega$$ resistor. How long does it take for the capacitor to reach $$63\% of $$its maximum charge?

Accepted Answer

$$1.0 s$$

Question 14

A $$5.0$$ $$\Omega$$ resistor and a $$10.0$$ $$\Omega$$ resistor are connected in series to a $$30 V $$battery. What is the voltage drop across the $$10.0$$ $$\Omega$$ resistor?

Accepted Answer

$$20 V$$

Question 15

A $$2.0 m $$long wire carries a current of $$5.0 A $$and is placed in a $$0.30 T $$magnetic field at an angle of $$30^\circ to $$the field. What is the magnitude of the force on the wire?

Accepted Answer

$$1.5 N$$

Question 16

A $$3.0$$ $$\muF $$and a $$6.0$$ $$\muF $$capacitor are connected in series. What is the equivalent capacitance?

Accepted Answer

$$2.0$$ $$\muF$$

Question 17

A $$2.0 A $$current flows through two long parallel wires separated by $$0.10 m. $$What is the force per meter between the wires? ($$\mu_0$ = 4\pi 	imes 10$$^{-7}$$ T·m/A)

Accepted Answer

$$8.0 	imes 10$$^{-6}$$ N/m

Question 18

A $$1.0$$ $$\muF $$capacitor is charged to $$10 V $$and then discharged through a $$1.0 k$\Omega$$ resistor. How much charge remains after $$2.0 ms$$?

Accepted Answer

$$3.7 	imes 10$$^{-6}$$ C

Question 19

A $$2.0$$ $$\Omega$$ resistor dissipates $$8.0 W of $$power. What is the voltage across it?

Accepted Answer

$$8.0 V$$

Question 20

A $$1.0 m $$long wire carries a current of $$10 A. $$What is the magnitude of the magnetic field $$2.0 cm $$from the wire? ($$\mu_0$ = 4\pi 	imes 10$$^{-7}$$ T·m/A)

Accepted Answer

$$1.0 	imes 10$$^{-3}$$ T

Physics with Algebra: Formula Sheet Study Guide (Electricity, Magnetism, Circuits, and Vectors)

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