The circular wire loop has 10 turns and a radius of 1.0 cm. The total electrical

Question

The circular wire loop has 10 turns and a radius of 1.0 cm. The total electrical resistance of the 10 turn loop is 0.10?. The magnitude of the magnetic field due to the solenoid near the wire loop at t=0s is 0.002T. Thecurrentthrough thesolenoiddoubles between t=2s and t=4s.

a)What is the magnitude of the magnetic flux through the wire loop at t=1s?

b)What is magnitude of the rate-of change of the magnetic flux through the wire loop at t=3s?

c)What is the magnitude of the EMF in the wire loop at t=3s?

d)What is the magnitude of the current in the wire loop at t=3s?

The circular wire loop has 10 turns and a radius of 1.0 cm. The total electrical resistance of the 10 turn loop is 0.10?. The magnitude of the magnetic field due to the solenoid near the wire loop at t=0s is 0.002T. Thecurrentthrough thesolenoiddoubles between t=2s and t=4s. a)What is the magnitude of the magnetic flux through the wire loop at t=1s? b)What is magnitude of the rate-of change of the magnetic flux through the wire loop at t=3s? c)What is the magnitude of the EMF in the wire loop at t=3s? d)What is the magnitude of the current in the wire loop at t=3s?

Explanation / Answer

10 turns

a)flux=10*.002*3.14*10-4=6.28*10-6

b)d/dt=nAdB/dt=nANdi/dt

n wire turns=10

N is number of turns in solonoid

at t=0 o 2

.002=Ni

at t=4

B=.004=N*2i

at t=3

di/dt=.002/2=.001 (change in B/t)

d/dt=nAdB/dt=3.14*10-4*10-2=3.14*10-5

c) magnitude of emf=d/dt=3.14*10-6 V

d)i=3.14*10-5/.1=3.14*10-4 A

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