Question

A boy peddles a stationary bicycle the pedals of the bicycle are attached to a $200$ turn coil of area $0.10\, m^{2}$. 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. $4.12\,V$

Answer 1

Answer: (A)

Here $\upsilon=0.5\,Hz, N=200, A=0.1\,m^{2}$
and $B = 0.02\, T$
Maximum voltage generated is
$\varepsilon_{0}=NBA\left(2\pi\upsilon\right)=200\times0.02\times0.1\times\left(2\pi\times0.5\right)$
$=1.26\,V$