Question 1

For any circuit the number of independent equations containing emf's, resistances, and currents equals:

Accepted Answer

A)  the number of junctions 
B)  the number of junctions minus 1 
C)  the number of branches 
D)  the number of branches minus 1 
E)  the number of closed loops 
A)  the number of junctions 
B)  the number of junctions minus 1 
C)  the number of branches 
D)  the number of branches minus 1 
E)  the number of closed loops

Question 2

A battery is connected across a parallel combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

Accepted Answer

A)  the potential difference across each resistor is V and the current in each resistor is i 
B)  the potential difference across each resistor is V/2 and the current in each resistor is i/2 
C)  the potential difference across each resistor is V and the current in each resistor is i/2 
D)  the potential difference across each resistor is V/2 and the current in each resistor is i 
E)  none of the above are true 
A)  the potential difference across each resistor is V and the current in each resistor is i 
B)  the potential difference across each resistor is V/2 and the current in each resistor is i/2 
C)  the potential difference across each resistor is V and the current in each resistor is i/2 
D)  the potential difference across each resistor is V/2 and the current in each resistor is i 
E)  none of the above are true

Question 3

The time constant RC has units of:

Accepted Answer

A)  second/farad 
B)  second/ohm 
C)  1/second 
D)  second/watt 
E)  none of these 
A)  second/farad 
B)  second/ohm 
C)  1/second 
D)  second/watt 
E)  none of these

Question 4

A battery is connected across a series combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

Accepted Answer

A)  the potential difference across each resistor is V and the current in each resistor is i 
B)  the potential difference across each resistor is V/2 and the current in each resistor is i/2 
C)  the potential difference across each resistor is V and the current in each resistor is i/2 
D)  the potential difference across each resistor is V/2 and the current in each resistor is i 
E)  none of the above are true 
A)  the potential difference across each resistor is V and the current in each resistor is i 
B)  the potential difference across each resistor is V/2 and the current in each resistor is i/2 
C)  the potential difference across each resistor is V and the current in each resistor is i/2 
D)  the potential difference across each resistor is V/2 and the current in each resistor is i 
E)  none of the above are true

Question 5

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 6

The emf of a battery is equal to its terminal potential difference:

Accepted Answer

A)  under all conditions 
B)  only when the battery is being charged 
C)  only when a large current is in the battery 
D)  only when there is no current in the battery 
E)  under no conditions 
A)  under all conditions 
B)  only when the battery is being charged 
C)  only when a large current is in the battery 
D)  only when there is no current in the battery 
E)  under no conditions

Question 7

Two identical batteries, each with an emf of 18 V and an internal resistance of 1  $\Omega$, are wired in parallel by connecting their positive terminals together and connecting their negative terminals together. The combination is then wired across a 4- $\Omega$ resistor. The current in each battery is:

Accepted Answer

A)  1.0 A 
B)  2.0 A 
C)  3.6 A 
D)  4.0 A 
E)  4.5 A 
A)  1.0 A 
B)  2.0 A 
C)  3.6 A 
D)  4.0 A 
E)  4.5 A

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

Suppose the current charging a capacitor is kept constant. Which graph below correctly gives the potential difference V across the capacitor as a function of time?

Accepted Answer

A)  I 
B)  II 
C)  III 
D)  IV 
E)  V 
A)  I 
B)  II 
C)  III 
D)  IV 
E)  V

Question 10

A 3- $\Omega$ and a 1.5- $\Omega$ resistor are wired in parallel and the combination is wired in series to a 4- $\Omega$ resistor and a 10-V emf device. The current in the 3- $\Omega$ resistor is:

Accepted Answer

A)  0.33 A 
B)  0.67 A 
C)  2.0 A 
D)  3.3 A 
E)  6.7 A 
A)  0.33 A 
B)  0.67 A 
C)  2.0 A 
D)  3.3 A 
E)  6.7 A

Question 11

A certain voltmeter has an internal resistance of 10,000  $\Omega$ and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect:

Accepted Answer

A)  100,000  $\Omega$ in series 
B)  100,000  $\Omega$ in parallel 
C)  1000  $\Omega$ in series 
D)  1000  $\Omega$ in parallel 
E)  90,000  $\Omega$ in series 
A)  100,000  $\Omega$ in series 
B)  100,000  $\Omega$ in parallel 
C)  1000  $\Omega$ in series 
D)  1000  $\Omega$ in parallel 
E)  90,000  $\Omega$ in series

Question 12

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 13

Two wires made of the same material have the same length but different diameter. They are connected in parallel to a battery. The quantity that is NOT the same for the wires is:

Accepted Answer

A)  the end-to-end potential difference 
B)  the current 
C)  the current density 
D)  the electric field 
E)  the electron drift velocity 
A)  the end-to-end potential difference 
B)  the current 
C)  the current density 
D)  the electric field 
E)  the electron drift velocity

Exam 27: Circuits

For any circuit the number of independent equations containing emf's, resistances, and currents equals:

A battery is connected across a parallel combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

The time constant RC has units of:

A battery is connected across a series combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

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:

The emf of a battery is equal to its terminal potential difference:

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

Suppose the current charging a capacitor is kept constant. Which graph below correctly gives the potential difference V across the capacitor as a function of time?

A 3- Ω\OmegaΩ and a 1.5- Ω\OmegaΩ resistor are wired in parallel and the combination is wired in series to a 4- Ω\OmegaΩ resistor and a 10-V emf device. The current in the 3- Ω\OmegaΩ resistor is:

A certain voltmeter has an internal resistance of 10,000 Ω\OmegaΩ and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect:

An emf source is defined in terms of:

Two wires made of the same material have the same length but different diameter. They are connected in parallel to a battery. The quantity that is NOT the same for the wires is:

Measurement

Motion Along a Straight Line

Vector

Motion in Two and Three Dimensions

Force and Motion I

Force and Motion II

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves I

Waves II

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Electric Charge

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference

Diffraction

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Nuclear Physics

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

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 3- $\Omega$ and a 1.5- $\Omega$ resistor are wired in parallel and the combination is wired in series to a 4- $\Omega$ resistor and a 10-V emf device. The current in the 3- $\Omega$ resistor is:

A certain voltmeter has an internal resistance of 10,000 $\Omega$ and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect: