Question 59: Electromagnetic Induction

Question

A coil of area A and N turns is rotating with angular velocity $\omega$ in a uniform magnetic field $\vec{B}$ about an axis perpendicular to $\vec{B}$. Magnetic flux $\varphi$ and induced emf $\varepsilon$ across it, at an instant when $\vec{B}$ is parallel to the plane of coil, are :

Accepted Answer

$$\begin{aligned}
&\begin{aligned}
\phi & =\mathrm{BAN} \cdot \cos (\omega \mathrm{t}) \
\varepsilon & =\frac{-\mathrm{d} \phi}{\mathrm{dt}}=\mathrm{BA} \omega \mathrm{~N} \cdot \sin (\omega \mathrm{t})
\end{aligned}\
&	ext { When } B 	ext { is parallel to plane, } \underline{\underline{\omega}} \mathrm{t}=\frac{\pi}{2}\
&\Rightarrow \phi=0, \varepsilon=\mathrm{BA} \omega \mathrm{~N}
\end{aligned}$$

Answer

φ = AB, φ = NABω

Answer

φ = AB, φ = 0

Answer

φ = 0, ε = 0

Answer

φ = 0, ε = NABω

Electromagnetic Induction

A coil of area A and N turns is rotating with angular velocity \omega in a uniform magnetic field \vec{B} about an axis perpendicular to \vec{B}. Magnetic flux \varphi and induced emf \varepsilon across it, at an instant when \vec{B} is parallel to the plane of coil, are :

Choose the correct answer: