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A coil of area \mathrm{0.4 m^{2}} has 100 turns. A magnetic field of \mathrm{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

Option: 1

160 V


Option: 2

250 V


Option: 3

270 V


Option: 4

320 V


Answers (1)

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\mathrm{\text { Here, } A=0.4 \mathrm{~m}^2, N=100, \mathrm{~dB}=0.04 \mathrm{~Wb} \mathrm{~m}^{-2}, \mathrm{dt}=0.01 \mathrm{~s}}

\mathrm{\begin{aligned} & \text { As } \varepsilon=\frac{\mathrm{d} \phi}{\mathrm{dt}}=\mathrm{NA} \frac{\mathrm{dB}}{\mathrm{dt}} \quad(\because \phi=\mathrm{BA}) \\ & =100 \times 0.4 \times \frac{0.04}{0.01}=160 \mathrm{~V} \end{aligned}}

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Ritika Harsh

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