Question 1

How much energy is stored in a room 3.0 m by 4.0 m by 2.4 m due to the earth's magnetic field with a strength of 5.0 × 10-5 T? (μ0 = 4π × 10-7 T • m/A)

Accepted Answer

A)  570 mJ 
B)  29 mJ 
C)  10 mJ 
D)  100 mJ 
E)  57 mJ 
A)  570 mJ 
B)  29 mJ 
C)  10 mJ 
D)  100 mJ 
E)  57 mJ

Question 2

An inductor has a current I(t)= (0.500 A)cos[(275   )t] flowing through it.If the maximum emf across the inductor is equal to 0.500 V,what is the self-inductance of the inductor?

Accepted Answer

A)  4.37 mH 
B)  3.64 mH 
C)  2.75 mH 
D)  0.73 mH 
E)  1.43 Mh 
A)  4.37 mH 
B)  3.64 mH 
C)  2.75 mH 
D)  0.73 mH 
E)  1.43 Mh

Question 3

The mutual inductance between two coils is 10.0 mH.The current in the first coil changes uniformly from 2.70 A to 5.00 A in 0.160 s.If the second coil has a resistance of 0.600 Ω,what is the magnitude of the induced current in the second coil?

Accepted Answer

The answer of The mutual inductance between two coils is...

Question 4

In an LC circuit containing a 40-mH ideal inductor and a 1.2-mF capacitor,the maximum charge on the capacitor is 45 mC during the oscillations.What is the maximum current through the inductor during the oscillations?

Accepted Answer

A)  3.7 A 
B)  42 A 
C)  10 A 
D)  6.5 A 
E)  2.5 A 
A)  3.7 A 
B)  42 A 
C)  10 A 
D)  6.5 A 
E)  2.5 A

Question 5

A charged capacitor is connected to an ideal inductor to form an LC circuit with a frequency of oscillation f = 1.6 Hz.At time t = 0 the capacitor is fully charged.At a given instant later the charge on the capacitor is measured to be 3.0 μC and the current in the circuit is equal to 75 μA.What is the maximum charge of the capacitor?

Accepted Answer

A)  6.0 µC 
B)  10 µC 
C)  8.0 µC 
D)  2.0 µC 
E)  4.0 µC 
A)  6.0 µC 
B)  10 µC 
C)  8.0 µC 
D)  2.0 µC 
E)  4.0 µC

Question 6

What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10-4 m2? (μ0 = 4π × 10-7 T • m/A)

Accepted Answer

A)  4.19 nH 
B)  4.19 pH 
C)  4.19 µH 
D)  4.19 mH 
E)  4.19 H 
A)  4.19 nH 
B)  4.19 pH 
C)  4.19 µH 
D)  4.19 mH 
E)  4.19 H

Question 7

For the circuit shown in the figure,the switch has been open for a very long time.   (a)What is the potential drop across the 15.0-mH inductor just after closing the switch?
(b)What is the potential drop across the 70.0-µF capacitor after the switch has been closed for a very long time?

Accepted Answer

The answer of For the circuit shown in the figure,the...

Exam 30: Inductance

How much energy is stored in a room 3.0 m by 4.0 m by 2.4 m due to the earth's magnetic field with a strength of 5.0 × 10-5 T? (μ0 = 4π × 10-7 T • m/A)

An inductor has a current I(t)= (0.500 A)cos[(275 )t] flowing through it.If the maximum emf across the inductor is equal to 0.500 V,what is the self-inductance of the inductor?

The mutual inductance between two coils is 10.0 mH.The current in the first coil changes uniformly from 2.70 A to 5.00 A in 0.160 s.If the second coil has a resistance of 0.600 Ω,what is the magnitude of the induced current in the second coil?

In an LC circuit containing a 40-mH ideal inductor and a 1.2-mF capacitor,the maximum charge on the capacitor is 45 mC during the oscillations.What is the maximum current through the inductor during the oscillations?

What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10-4 m2? (μ0 = 4π × 10-7 T • m/A)

For the circuit shown in the figure,the switch has been open for a very long time. (a)What is the potential drop across the 15.0-mH inductor just after closing the switch? (b)What is the potential drop across the 70.0-µF capacitor after the switch has been closed for a very long time?

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How much energy is stored in a room 3.0 m by 4.0 m by 2.4 m due to the earth's magnetic field with a strength of 5.0 × 10^-5 T? (μ₀ = 4π × 10^-7 T • m/A)

What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10^-4 m²? (μ₀ = 4π × 10^-7 T • m/A)