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?

Question

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? (A) 518.4 W (B) 1036 W (C) 259.2 W (D) Zero

Tardigrade Admin · Accepted Answer

Here, N=100, A=3 m2, ω=60 rad s-1, B=0.04 T, R=500 Ω Max. power dissipation =εeff⋅ Ieff =(ε0/√2)⋅(I0/√2)=(I02R/2) =((1.44)2×500/2) =518.4 W

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?

$518.4 W$

$1036 W$

$259.2 W$

Zero

Here, $N = 100, A = 3 m^{2}, ω = 60 r a d s^{- 1}, B = 0.04 T$ ,
$R = 500 Ω$
Max. power dissipation
$= ε_{e ff \cdot I_{e ff}} = \frac{ε _{0}}{2} \cdot \frac{I _{0}}{2} = \frac{I _{0}^{2} R}{2}$
$= \frac{( 1.44 ) ^{2} \times 500}{2}$
$= 518.4 W$

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

518.4W

1036W

259.2W