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A circular loop of wire with a radius of 19.0 cm and oriented in the horizontal

ID: 1377767 • Letter: A

Question

A circular loop of wire with a radius of 19.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. A field of 1.5 T is directed along the positive z-direction, which is upward. (a) If the loop is removed from the field region in a time interval of 6.4 ms, find the average emf that will be induced in the wire loop during the extraction process.
V

(b) If the coil is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?
clockwise counterclockwise  

Explanation / Answer

Here ,

a)

The induced EMF is given as

EMF = rate of change of flux

EMF = pi*0.19^2 *(1.5 - 0)/(0.064)

EMF = 26.6 V

the induced EMF is 26.6 V

b)

Now, as the flux is decreasing the induced current will support the applied magnetic field.

Hence, the current is Anti CLockwise

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