Chapter 30: Inductance; and Electromagnetic Oscillations
Practice Questions



1.  

A coil of N2 turns is wrapped around an insulated coil of N1 turns, cross-sectional area A and length l, what is the mutual inductance?



2.  

In the above question, if N2= 100 and N1 =1000 wih l= 0.1 m and A=0.0001 m2 what is the mutual inductance?

0.13 mH
2.6 mH
3.14 mH
12 mH


3.  

An inductor (solenoid) of 0.4 H has a current of 10 amps flowing through it. How much energy is stored in it?

2 J
20 J
200 J
2000 J


4.  

The solenoid in the previous question has 1000 turns and is 0.2 m long, what is the magnetic field B?

0.004 T
62.8 mT
73.3 mT
0 T


5.  

What is the energy density stored in the magnetic field in the previous question?

35 J/m3
275 J/m3
1571 J/m3
3500 J/m3


6.  

A 200 mH inductor is connected to a 50 ohm resistor and both are connected in series through a switch to a 40 volt battery, what is the time constant for this combination?

4 ms
6 ms
8 ms
10 ms


7.  

When the switch is closed in the circuit in question 6 how long does it take for the current to reach half its final value?

1.2 ms
2.4 ms
2.8 ms
5.6 ms


8.  

What will be the value of current in question 7?

0.2 A
0.4 A
0.6 A
0.8 A


9.  

What power is being drawn from the battery at the time determined in question 7?.

2 W
4 W
8 W
16 W


10.  

What power is being consumed in the resistor at the same time as that in question 9?

2 W
4 W
8 W
16 W


11.  

A 9 nF capacitor is connected to a 1200 V battery bank, what is the charge on the capacitor?

2.8 microC
10.8 microC
20.8 microC
30.8 microC


12.  

In the preceeding question, what is the maximum current if the charged capacitor is connected to a 0.05 H inductor?

0.015 amps
0.15 amps
0.51 amps
15 amps


13.  

In question 12 what is the oscillator frequency?

0.75 kHz
7.5 kHz
75 kHz
750 kHz


14.  

What is the total energy in the oscillator circuit in the previous question?

6.5 mJ
9 mJ
12 J
12.5 J


15.  


Close the switch in the above circuit by pressing the button below and find the time constant of the circuit.
t= secondsI= amps

3 s
6 s
9 s
12 s


16.  

What is the resistance in the circuit in question 15?

1 ohm
10 ohms
50 ohms
100 ohms


17.  

What is the inductance in the circuit in question 15?

3.33 H
10 H
20 H
30 H


18.  


The above circuit is discharged by flipping the switch. What is its time constant?
t= secondsI= amps

2 s
4 s
6 s
8 s


19.  

What is the resistance in the circuit in question 18?

20 ohms
15 ohms
10 ohms
5 ohms


20.  

What is the inductance in the circuit in question 18?

10 H
20 H
30 H
40 H


21.  

A charged 10 microFarad capacitor is connected to a resistor and a 25 mH inductor, for the resulting oscillator to be critically damped R must equal

10 ohms.
20 ohms.
50 ohms
100 ohms.
1000 ohms.


22.  

If R in the circuit in question 21 is 75 ohms, the circuit is said to be

overdamped
underdamped


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