Q: If a $$2.0\ \mu\mathrm{F}$$ capacitor is charged to $$100\ \mathrm{V}$$, what is the charge stored on the capacitor?

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

Q: A $$2.0\ \mu\mathrm{F}$$ capacitor is charged to $$100\ \mathrm{V}$$ and then disconnected from the battery. How much energy is stored in the capacitor?

$$1.0 \times 10$$^{-2}$$\ \mathrm{J}$$

Question 1

A current of $$2.0\ \mathrm{A}$$ flows for $$5.0\ \mathrm{minutes}$$ through a wire. How much charge passes through the wire during this time?

Accepted Answer

$$600\ \mathrm{C}$$

Question 2

A $$12\ \mathrm{V}$$ battery is connected across a $$4.0\ \Omega$$ resistor. What is the current through the resistor?

Accepted Answer

$$3.0\ \mathrm{A}$$

Question 3

Three resistors of $$6.0\ \Omega$$, $$9.0\ \Omega$$, and $$18.0\ \Omega$$ are connected in series to a $$66\ \mathrm{V}$$ battery. What is the total current in the circuit?

Accepted Answer

$$2.0\ \mathrm{A}$$

Question 4

A $$100\ \mathrm{W}$$ light bulb is connected to a $$120\ \mathrm{V}$$ source. What is the resistance of the bulb?

Accepted Answer

$$144\ \Omega$$

Question 5

If a $$2.0\ \mu\mathrm{F}$$ capacitor is charged to $$100\ \mathrm{V}$$, what is the charge stored on the capacitor?

Accepted Answer

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

Question 6

A $$6.0\ \Omega$$ and a $$3.0\ \Omega$$ resistor are connected in parallel. What is the equivalent resistance?

Accepted Answer

$$2.0\ \Omega$$

Question 7

A $$300\ \Omega$$ light bulb is connected across a $$120\ \mathrm{V}$$ supply. What current will flow through the bulb?

Accepted Answer

$$0.4\ \mathrm{A}$$

Question 8

A $$12\ \mathrm{V}$$ battery is connected to a series circuit of four equal resistors of $$10\ \Omega$$ each. What is the voltage across each resistor?

Accepted Answer

$$3.0\ \mathrm{V}$$

Question 9

A $$2.0\ \Omega$$ and a $$4.0\ \Omega$$ resistor are connected in series to a $$12\ \mathrm{V}$$ battery. What is the power dissipated in the $$4.0\ \Omega$$ resistor?

Accepted Answer

$$16\ \mathrm{W}$$

Question 10

A $$5.0\ \mu\mathrm{F}$$, $$4.0\ \mu\mathrm{F}$$, and $$7.0\ \mu\mathrm{F}$$ capacitor are connected in parallel. What is the equivalent capacitance?

Accepted Answer

$$16.0\ \mu\mathrm{F}$$

Question 11

A $$10\ \Omega$$ resistor is connected in parallel with a $$5.0\ \Omega$$ resistor and this combination is connected to a $$10\ \mathrm{V}$$ battery. What is the current through the $$10\ \Omega$$ resistor?

Accepted Answer

$$1.0\ \mathrm{A}$$

Question 12

A $$2.0\ \Omega$$ resistor is connected in series with a $$4.0\ \Omega$$ resistor to a $$12\ \mathrm{V}$$ battery. What is the voltage drop across the $$4.0\ \Omega$$ resistor?

Accepted Answer

$$8.0\ \mathrm{V}$$

Question 13

A $$100\ \Omega$$ resistor is connected to a $$50\ \mathrm{V} DC $$source. How much energy is dissipated in $$10\ \mathrm{s}$$?

Accepted Answer

$$250\ \mathrm{J}$$

Question 14

A $$2.0\ \mu\mathrm{F}$$ capacitor is charged to $$100\ \mathrm{V}$$ and then disconnected from the battery. How much energy is stored in the capacitor?

Accepted Answer

$$1.0 	imes 10$$^{-2}$$\ \mathrm{J}$$

Question 15

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

Accepted Answer

$$6.7\ \Omega$$

Question 16

A $$12\ \mathrm{V}$$ battery is connected to a $$3.0\ \Omega$$ resistor. How much energy is dissipated in $$5.0\ \mathrm{s}$$?

Accepted Answer

$$240\ \mathrm{J}$$

Question 17

A $$2.0\ \Omega$$ and a $$4.0\ \Omega$$ resistor are connected in parallel to a $$12\ \mathrm{V}$$ battery. What is the total current supplied by the battery?

Accepted Answer

$$6.0\ \mathrm{A}$$

Question 18

A $$5.0\ \mu\mathrm{F}$$ capacitor is charged to $$100\ \mathrm{V}$$ and then connected across a $$10\ \Omega$$ resistor. How long will it take for the voltage across the capacitor to drop to $$37\ \mathrm{V}$$?

Accepted Answer

$$50\ \mu\mathrm{s}$$

Question 19

A $$100\ \Omega$$ resistor is connected to a $$50\ \mathrm{V} DC $$source for $$10\ \mathrm{s}. $$How much charge passes through the resistor?

Accepted Answer

$$5.0\ \mathrm{C}$$

Electric Current and Direct-Current Circuits: Study Notes and Problem Guide

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