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The rectangular loop shown in the following figure is moving to the right as shown.

L = 10.0 cm
W = 5.00 cm
v = 2.00 cm/s
B = 3.00 T
R = 2.00 Ω
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Determine the induced current in the loop or the force on the loop when the leading edge of the loop is at each specified position.



1

Induced current in the loop (magnitude and direction) before the loop enters the magnetic field. That is the leading edge of the loop is at x < 0
2

Induced current in the loop (magnitude and direction) when the leading edge of the loop is at 0 < x < L
3

Induced current in the loop (magnitude and direction) when the leading edge of the loop is at L < x < 2L
4

Induced current in the loop (magnitude and direction) when the leading edge of the loop is at 2L < x < 3L
5

Induced current in the loop (magnitude and direction) when the leading edge of the loop is at x > 3L
6

Force on the loop (magnitude and direction) when the leading edge of the loop is at x < 0
7

Force on the loop (magnitude and direction) when the leading edge of the loop is at 0 < x < L
8

Force on the loop (magnitude and direction) when the leading edge of the loop is at L < x < 2L
9

Force on the loop (magnitude and direction) when the leading edge of the loop is at 2L < x < 3L
10

Force on the loop (magnitude and direction) when the leading edge of the loop is at x > 3L

The following figure shows a flat circular coil inside a solenoid and concentric to the axis of the solenoid.

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RS = 4.00 cm
Ns = 1000
RS = 100 Ω
roc = 1.00 cm
NC = 10
RCA = 1.00 Ω
Ls = 40.0 cm
VB = 25.0 V

After the switch is closed, the current through the solenoid goes from zero to its maximum value. At the instant when the current is increasing at the rate of 1.00 A/s, determine the following:



11

Rate at which the magnetic field is changing in the solenoid.
12

Rate at which the magnetic field is changing in the coil
13

Rate at which the magnetic flux is changing in the solenoid
14

Rate at which the magnetic flux is changing in the coil
15

Emf induced in each turn of the solenoid
16

Total Emf induced in the solenoid
17

Emf induced in each turn of the coil
18

Total Emf induced in the coil
19

Self inductance of the coil
20

Mutual inductance between the solenoid and the coil
21

Current induced in the solenoid
22

Current induced in the coil

Power is transmitted 80.0 km at 22,000 V and is stepped down to 110 V at its destination. The transmission lines have a resistance of 1.50 × 10-4Ω/m for each of the two lines. The current required at the destination is 15.0 A.

Determine the following:



23

Current in transmission line
24

Ratio of turns Np/Ns
25

Power supplied at destination
26

Power lost in transmission

The following figure shows an inductor in a circuit with a resistor and a battery.

R = 30.0 Ω
L = 10.0 H
V = 5.00 V
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Determine the following:



27

Time constant for the circuit
28

Current in the circuit after two time constants
29

Potential difference across the resistor after two time constants
30

Potential difference across the inductor after two time constants







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