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Q.

A square coil AECD of side 0.1 m is placed in a magnetic field B=2t2. Here, t is in seconds and B is in Tesla. The magnetic field is into the paper. At time t=2s, induced electric field in DC is

Question Image

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a

0.05V/m

b

Along CD

c

0.2V/m

d

Along DC

answer is B, D.

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Detailed Solution

Magnetic field in  direction passing through the coil is increasing, the therefore, from Len’z law the induced current will be produce Question Image magnetic field. Thus, the induced current will be anticlockwise of the induced electric field is along DC.

E.dl=dϕdt
Or E4l=I2.dBdt

Or  E=I44t=It=0.12=0.2V/m

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