A boy peddles a stationary bicycle the pedals of the bicycle are attached to a 200 turn coil of area 0.10 m2. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.02 T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is

Question

A boy peddles a stationary bicycle the pedals of the bicycle are attached to a 200 turn coil of area 0.10 m2. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.02 T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is (A) 1.26 V (B) 2.16 V (C) 3.24 V (D) 4.12 V

Tardigrade Admin · Accepted Answer

Here upsilon=0.5 Hz, N=200, A=0.1 m2 and B = 0.02 T Maximum voltage generated is ε0=NBA(2π upsilon)=200×0.02×0.1×(2π×0.5) =1.26 V

$1.26 V$

$2.16 V$

$3.24 V$

$4.12 V$

Here $υ = 0.5 Hz, N = 200, A = 0.1 m^{2}$
and $B = 0.02 T$
Maximum voltage generated is
$ε_{0} = NB A (2 π υ) = 200 \times 0.02 \times 0.1 \times (2 π \times 0.5)$
$= 1.26 V$

1.26V

2.16V

3.24V

4.12V

Here υ=0.5Hz,N=200,A=0.1m2 and B=0.02T Maximum voltage generated is ε0​=NBA(2πυ)=200×0.02×0.1×(2π×0.5) =1.26V

$1.26 V$

$2.16 V$

$3.24 V$

$4.12 V$

Here $υ = 0.5 Hz, N = 200, A = 0.1 m^{2}$
and $B = 0.02 T$
Maximum voltage generated is
$ε_{0} = NB A (2 π υ) = 200 \times 0.02 \times 0.1 \times (2 π \times 0.5)$
$= 1.26 V$