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A 7.00 cm wire is being pulled along a U-shaped wire at a speed of 7.30 m/s. The

ID: 1438297 • Letter: A

Question

A 7.00 cm wire is being pulled along a U-shaped wire at a speed of 7.30 m/s. The system is in a perpendicular magnetic field. The total resistance of the system is 0.800 . If the power dissipated in the system is 3.60 W, what is the strength of the magnetic field?

1.50 T

0.0564 T

1.70 T

3.32 T

Question 2

A coil is in a perpindicular magnetic field that is described by the expression B = 0.0500t + 0.0700t2. The 6.00 cm diameter coil has 21 turns and a resistance of 0.500 . What is the induced current at time t = 6.00 s?

0.0309 A

0.335 A

0.106 A

0.00238 A

Question 3

A 3.10 cm diameter solenoid has a magnetic field inside of 2.10 T. The magnetic field changes at a rate of 4.30 T/s. What is the electric field strength inside the solenoid at a point on the axis?

0.0666 V/m

0 V/m

0.0163 V/m

2.15 V/m   

Explanation / Answer

part 1 )

P = e^2/R

3.6 = e^2/0.800

e = sqrt(3.6*0.800)

e = vBL

B = e/vL

v = 7.3 m/s

L = 7cm = 0.07 m

B = 3.32 T

part b )

e =Ndphi/dt

phi = BA

A = pi*d^2/4 = d = 6cm = 6 x 10^-2 m

dB/dt = 0.0500 + 0.14t

at t = 6

dB/dt = 0.0500 + 0.14*6 = 0.89

e = 21*pi*(6*10^-2)^2 * 0.89/4

e = 0.0528 V

I = e/R

I = 0.106 A

part 3 )

E = r/2 * dB/dt

r = 0

E = 0

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