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Question: A coil of area 0.4 m2 has 100 turns. A magnetic field of 0.04 Wb m-2 is acting normal to the coil su...

A coil of area 0.4 m2 has 100 turns. A magnetic field of 0.04 Wb m-2 is acting normal to the coil surface. If this magnetic field is reduced to zero in 0.01 s, then the induced emf in the coil is

A

160 V

B

250 V

C

270 V

D

320 V

Answer

160 V

Explanation

Solution

Here A=0.4 m2, N=100, dB=0.04Wbm2\mathrm { A } = 0.4 \mathrm {~m} ^ { 2 } , \mathrm {~N} = 100 , \mathrm {~dB} = 0.04 \mathrm { Wbm } ^ { - 2 }

As ε=dϕdt=NAdBdt=100×0.4×0.040.01=160 V\varepsilon = \frac { \mathrm { d } \phi } { \mathrm { dt } } = \mathrm { NA } \frac { \mathrm { dB } } { \mathrm { dt } } = 100 \times 0.4 \times \frac { 0.04 } { 0.01 } = 160 \mathrm {~V}