A flat coil of 500 turns, each of area 50 cm 2, rotates in a uniform magnetic field of 0.14 Wb / m 2 about an axis normal to the field at an angular speed of 150 rad / s. The coil has a resistance of 5 Ω. The induced e.m.f. is applied to an external resistance of 10 Ω. The peak current throuah the resistance is

Question

A flat coil of 500 turns, each of area 50 cm 2, rotates in a uniform magnetic field of 0.14 Wb / m 2 about an axis normal to the field at an angular speed of 150 rad / s. The coil has a resistance of 5 Ω. The induced e.m.f. is applied to an external resistance of 10 Ω. The peak current throuah the resistance is (A) 1.5 A (B) 2.5 A (C) 3.5 A (D) 4.5 A

Tardigrade Admin · Accepted Answer

N=500, A=50 cm 2, B=0.14 Wb / m 2 ω=150 rad / s , R=5 Ω ε max =N B A ω I max=(ε max /R)=3.5 A

1.5 A

2.5 A

3.5 A

4.5 A

N=500,A=50cm2, B=0.14Wb/m2 ω=150rad/s, R=5Ω εmax​=NBAω Imax​=Rεmax​​=3.5A

$N = 500, A = 50 c m^{2},$
$B = 0.14 Wb / m^{2}$
$ω = 150 r a d / s,$
$R = 5 Ω$
$ε_{m a x} = NB A ω$
$I_{m a x} = \frac{ε _{m a x}}{R} = 3.5 A$