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  4. An a.c. generator consists of a coil of 100 turns and cross-sectional area of 3 m2, rotating at a constant angular speed of 60 radian/sec in a uniform magnetic field of 0.04 T. The resistance of the coil is 500 ohm. What is the maximum power dissipation in the coil?

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Q. An a.c. generator consists of a coil of $100$ turns and cross-sectional area of $3 \,m^{2}$, rotating at a constant angular speed of $60$ radian/sec in a uniform magnetic field of $0.04 \,T$. The resistance of the coil is $500$ ohm. What is the maximum power dissipation in the coil?

Electromagnetic Induction

Solution:

Here, $N=100, A=3\,m^{2}, \omega=60\,rad \,s^{-1}, B=0.04\,T$,
$R=500\,\Omega$
Max. power dissipation
$=\varepsilon_{eff\cdot I_{eff}} =\frac{\varepsilon_{0}}{\sqrt{2}}\cdot\frac{I_{0}}{\sqrt{2}}=\frac{I_{0}^{2}R}{2}$
$=\frac{\left(1.44\right)^{2}\times500}{2}$
$=518.4\,W$