Question 1

Four 20-$\Omega$ resistors are connected in series and the combination is connected to a 20-V emf device.The potential difference across any one of the resistors is:

Accepted Answer

A) 1 V 
B) 4 V 
C) 5 V 
D) 20 V 
E) 80 V 
A) 1 V 
B) 4 V 
C) 5 V 
D) 20 V 
E) 80 V

Question 2

A certain galvanometer has a resistance of 100 $\Omega$and requires 1 mA for full scale deflection.To make this into a voltmeter reading 1 V full scale, connect a resistance of:

Accepted Answer

A) 1000 $\Omega$in parallel 
B) 900 $\Omega$ in series 
C) 1000 $\Omega$in series 
D) 10 $\Omega$ in parallel 
E) 0.1 $\Omega$ in series 
A) 1000 $\Omega$in parallel 
B) 900 $\Omega$ in series 
C) 1000 $\Omega$in series 
D) 10 $\Omega$ in parallel 
E) 0.1 $\Omega$ in series

Question 3

The resistance of resistor 1 is twice the resistance of resistor 2.The two are connected in parallel and a potential difference is maintained across the combination.Then:

Accepted Answer

A) the current in 1 is twice that in 2 
B) the current in 1 is half that in 2 
C) the potential difference across 1 is twice that across 2 
D) the potential difference across 1 is half that across 2 
E) none of the above are true 
A) the current in 1 is twice that in 2 
B) the current in 1 is half that in 2 
C) the potential difference across 1 is twice that across 2 
D) the potential difference across 1 is half that across 2 
E) none of the above are true

Question 4

A galvanometer has an internal resistance of 12 $\Omega$ and requires 0.01 A for full scale deflection.To convert it to a voltmeter reading 3 V full scale, one must use a series resistance of:

Accepted Answer

A) 102$\Omega$ 
B) 288 $\Omega$ 
C) 300 $\Omega$ 
D) 360 $\Omega$ 
E) 412 $\Omega$ 
A) 102$\Omega$ 
B) 288 $\Omega$ 
C) 300 $\Omega$ 
D) 360 $\Omega$ 
E) 412 $\Omega$

Question 5

A battery with an emf of 12 V and an internal resistance of 1 $\Omega$ is used to charge a battery with an emf of 10 V and an internal resistance of 1 $\Omega$.The current in the circuit is:

Accepted Answer

A) 1 A 
B) 2 A 
C) 4 A 
D) 11 A 
E) 22 A 
A) 1 A 
B) 2 A 
C) 4 A 
D) 11 A 
E) 22 A

Question 6

The positive terminals of two batteries with emf's of   and  , respectively, are connected together. Here   >  . The circuit is completed by connecting the negative terminals. If each battery has an internal resistance of r, the rate in watts at which electrical energy is converted to chemical energy in the smaller battery is:

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) E 
A) A 
B) B 
C) C 
D) D 
E) E

Question 7

A certain capacitor, in series with a resistor, is being charged.At the end of 10 ms its charge is half the final value.The time constant for the process is about:

Accepted Answer

A) 5.0 ms 
B) 6.9 ms 
C) 10 ms 
D) 14 ms 
E) 20 ms 
A) 5.0 ms 
B) 6.9 ms 
C) 10 ms 
D) 14 ms 
E) 20 ms

Question 8

In the context of the loop and junctions rules for electrical circuits a junction is:

Accepted Answer

A) where a wire is connected to a resistor 
B) where a wire is connected to a battery 
C) where only two wires are joined 
D) where three or more wires are joined 
E) where a wire is bent 
A) where a wire is connected to a resistor 
B) where a wire is connected to a battery 
C) where only two wires are joined 
D) where three or more wires are joined 
E) where a wire is bent

Question 9

An emf source is defined in terms of:

Accepted Answer

A) the force it exerts on charges 
B) the work it does on charges 
C) the electric field it generates 
D) the current it generates 
E) the charge it emits 
A) the force it exerts on charges 
B) the work it does on charges 
C) the electric field it generates 
D) the current it generates 
E) the charge it emits

Question 10

The equivalent resistance between points 1 and 2 of the circuit shown is:

Accepted Answer

A) 2.5$\Omega$ 
B) 4.0 $\Omega$ 
C) 5.0$\Omega$ 
D) 6.5 $\Omega$ 
E) 16$\Omega$ 
A) 2.5$\Omega$ 
B) 4.0 $\Omega$ 
C) 5.0$\Omega$ 
D) 6.5 $\Omega$ 
E) 16$\Omega$

Question 11

Resistances of 2.0 $\Omega$, 4.0$\Omega$, and 6.0 $\Omega$and a 24-V emf device are all in series.The circuit is initially ungrounded.After grounding, the current in the circuit:

Accepted Answer

A) increases 
B) decreases 
C) does not change 
D) depends on where in the circuit the ground wire is attached 
E) depends on what the circuit is grounded to 
A) increases 
B) decreases 
C) does not change 
D) depends on where in the circuit the ground wire is attached 
E) depends on what the circuit is grounded to

Question 12

Four circuits have the form shown in the diagram.The capacitor is initially uncharged and the switch S is open.    Rank the circuits according to the time after switch S is closed for the capacitors to reach half their final charges, least to greatest.

Accepted Answer

A) 1, 2, 3, 4 
B) 2, 4, 3, 1 
C) 1, 3, 4, 2 
D) 4, 2, 1, 3 
E) 3, 1, 2, 4 
A) 1, 2, 3, 4 
B) 2, 4, 3, 1 
C) 1, 3, 4, 2 
D) 4, 2, 1, 3 
E) 3, 1, 2, 4

Question 13

Four 20-$\Omega$ resistors are connected in parallel and the combination is connected to a 20-V emf device.The current in the device is:

Accepted Answer

A) 0.25 A 
B) 1.0 A 
C) 4.0 A 
D) 5.0 A 
E) 100 A 
A) 0.25 A 
B) 1.0 A 
C) 4.0 A 
D) 5.0 A 
E) 100 A

Question 14

To make a galvanometer into an ammeter, connect:

Accepted Answer

A) a high resistance in parallel 
B) a high resistance in series 
C) a low resistance in series 
D) a low resistance in parallel 
E) a source of emf in series 
A) a high resistance in parallel 
B) a high resistance in series 
C) a low resistance in series 
D) a low resistance in parallel 
E) a source of emf in series

Question 15

A battery has an emf of 9 V and an internal resistance of 2  $\Omega$ .If the potential difference across its terminals is greater than 9 V:

Accepted Answer

A) it must be connected across a large external resistance 
B) it must be connected across a small external resistance 
C) the current must be out of the positive terminal 
D) the current must be out of the negative terminal 
E) the current must be zero 
A) it must be connected across a large external resistance 
B) it must be connected across a small external resistance 
C) the current must be out of the positive terminal 
D) the current must be out of the negative terminal 
E) the current must be zero

Question 16

Resistances of 2.0 $\Omega$, 4.0 $\Omega$, and 6.0 $\Omega$ and a 24-V emf device are all in series.The potential difference across the 2.0-$\Omega$resistor is:

Accepted Answer

A) 4 V 
B) 8 V 
C) 12 V 
D) 24 V 
E) 48 V 
A) 4 V 
B) 8 V 
C) 12 V 
D) 24 V 
E) 48 V

Question 17

In an antique automobile, a 6-V battery supplies a total of 48 W to two identical headlights in parallel.The resistance of each bulb is:

Accepted Answer

A) 0.75 Ω 
B) 1.5 Ω 
C) 3 Ω 
D) 4 Ω 
E) 8 Ω 
A) 0.75 Ω 
B) 1.5 Ω 
C) 3 Ω 
D) 4 Ω 
E) 8 Ω

Question 18

Each of the resistors in the diagram is 12 $\Omega$.The resistance of the entire circuit is:

Accepted Answer

A) 5.8 $\Omega$ 
B) 25 $\Omega$ 
C) 48 $\Omega$ 
D) 120$\Omega$ 
E) none of these 
A) 5.8 $\Omega$ 
B) 25 $\Omega$ 
C) 48 $\Omega$ 
D) 120$\Omega$ 
E) none of these

Question 19

In the circuit shown, the capacitor is initially uncharged, and V = 10 V.At time t = 0, switch S is closed.If    denotes the time constant, the approximate current through the 3  $\mu$  resistor when t =    /10 is:

Accepted Answer

A) 0.50 A 
B) 0.75 A 
C) 1.0 A 
D) 1.5 A 
E) 3.0 A 
A) 0.50 A 
B) 0.75 A 
C) 1.0 A 
D) 1.5 A 
E) 3.0 A

Question 20

A charged capacitor is being discharged through a resistor.At the end of one time constant the charge has been reduced by (1 - 1/e)= 63% of its initial value.At the end of two time constants the charge has been reduced by what percent of its initial value?

Accepted Answer

A) 82% 
B) 86% 
C) 100% 
D) between 90% and 100% 
E) need to know more data to answer the question 
A) 82% 
B) 86% 
C) 100% 
D) between 90% and 100% 
E) need to know more data to answer the question

Exam 27: Circuits

Four 20- Ω\OmegaΩ resistors are connected in series and the combination is connected to a 20-V emf device.The potential difference across any one of the resistors is:

A certain galvanometer has a resistance of 100 Ω\OmegaΩ and requires 1 mA for full scale deflection.To make this into a voltmeter reading 1 V full scale, connect a resistance of:

The resistance of resistor 1 is twice the resistance of resistor 2.The two are connected in parallel and a potential difference is maintained across the combination.Then:

A galvanometer has an internal resistance of 12 Ω\OmegaΩ and requires 0.01 A for full scale deflection.To convert it to a voltmeter reading 3 V full scale, one must use a series resistance of:

A battery with an emf of 12 V and an internal resistance of 1 Ω\OmegaΩ is used to charge a battery with an emf of 10 V and an internal resistance of 1 Ω\OmegaΩ .The current in the circuit is:

A certain capacitor, in series with a resistor, is being charged.At the end of 10 ms its charge is half the final value.The time constant for the process is about:

In the context of the loop and junctions rules for electrical circuits a junction is:

An emf source is defined in terms of:

The equivalent resistance between points 1 and 2 of the circuit shown is:

Resistances of 2.0 Ω\OmegaΩ , 4.0 Ω\OmegaΩ , and 6.0 Ω\OmegaΩ and a 24-V emf device are all in series.The circuit is initially ungrounded.After grounding, the current in the circuit:

Four circuits have the form shown in the diagram.The capacitor is initially uncharged and the switch S is open. Rank the circuits according to the time after switch S is closed for the capacitors to reach half their final charges, least to greatest.

Four 20- Ω\OmegaΩ resistors are connected in parallel and the combination is connected to a 20-V emf device.The current in the device is:

To make a galvanometer into an ammeter, connect:

A battery has an emf of 9 V and an internal resistance of 2 Ω\OmegaΩ .If the potential difference across its terminals is greater than 9 V:

Resistances of 2.0 Ω\OmegaΩ , 4.0 Ω\OmegaΩ , and 6.0 Ω\OmegaΩ and a 24-V emf device are all in series.The potential difference across the 2.0- Ω\OmegaΩ resistor is:

In an antique automobile, a 6-V battery supplies a total of 48 W to two identical headlights in parallel.The resistance of each bulb is:

Each of the resistors in the diagram is 12 Ω\OmegaΩ .The resistance of the entire circuit is:

In the circuit shown, the capacitor is initially uncharged, and V = 10 V.At time t = 0, switch S is closed.If denotes the time constant, the approximate current through the 3 μ\muμ resistor when t = /10 is:

A charged capacitor is being discharged through a resistor.At the end of one time constant the charge has been reduced by (1 - 1/e)= 63% of its initial value.At the end of two time constants the charge has been reduced by what percent of its initial value?

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Filters

Four 20- $\Omega$ resistors are connected in series and the combination is connected to a 20-V emf device.The potential difference across any one of the resistors is:

A certain galvanometer has a resistance of 100 $\Omega$ and requires 1 mA for full scale deflection.To make this into a voltmeter reading 1 V full scale, connect a resistance of:

A galvanometer has an internal resistance of 12 $\Omega$ and requires 0.01 A for full scale deflection.To convert it to a voltmeter reading 3 V full scale, one must use a series resistance of:

A battery with an emf of 12 V and an internal resistance of 1 $\Omega$ is used to charge a battery with an emf of 10 V and an internal resistance of 1 $\Omega$ .The current in the circuit is:

Resistances of 2.0 $\Omega$ , 4.0 $\Omega$ , and 6.0 $\Omega$ and a 24-V emf device are all in series.The circuit is initially ungrounded.After grounding, the current in the circuit:

Four 20- $\Omega$ resistors are connected in parallel and the combination is connected to a 20-V emf device.The current in the device is:

A battery has an emf of 9 V and an internal resistance of 2 $\Omega$ .If the potential difference across its terminals is greater than 9 V:

Resistances of 2.0 $\Omega$ , 4.0 $\Omega$ , and 6.0 $\Omega$ and a 24-V emf device are all in series.The potential difference across the 2.0- $\Omega$ resistor is:

Each of the resistors in the diagram is 12 $\Omega$ .The resistance of the entire circuit is: $Each of the resistors in the diagram is 12 \Omega .The resistance of the entire circuit is:$