The area vector of a rectangular loop that is initially i = 400 mm long and w i

Question

The area vector of a rectangular loop that is initially i= 400mm long and wi= 200mm wide is aligned with the direction of a uniform magnetic field that has initial magnitude Bi= 500mT. You want to increase the field magnitude smoothly to Bf= 800mT in 10s, but you want to have zero induced current in the loop. You plan to accomplish this by changing the loop's length as you increase the magnetic field.

In order to have zero induced current, what must the loop length be after 3.00s?

In order to have zero induced current, what must the loop length be after 10.0s?

Explanation / Answer

flux should not change in we dont want induced emf

(a)initial emf=magnetic field*area=500*400*200

magnetic field is 500mT at t=0

and 800mT at t=10

at t=3 ,it will be 590 mT

area= l*200

flux = 590*l*200=500*400*200

l=338.9 mm

(b) similarly at t=10 sec

800*l*200=500*200*400

l=250 mm

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