Question 83: Electromagnetic Induction

Question

A metallic rod of length 'L' is rotated with an angular speed of '$$\omega$$' normal to a uniform magnetic field 'B' about an axis passing through one end of rod as shown in figure. The induced emf will be :

Accepted Answer

Velocity of centre of $\operatorname{rod} v=\frac{\omega L}{2}$
So, $\mathrm{emf}=B \cdot v L$ $$
=\frac{B \omega L^{2}}{2}
$$

Answer

$$\mathrm{\frac{1}{2}B^2L^2\omega}$$

Answer

$$\mathrm{\frac{1}{2}BL^2\omega}$$

Answer

$$\mathrm{\frac{1}{4}BL^2\omega}$$

Answer

$$\mathrm{\frac{1}{4}B^2L\omega}$$

Electromagnetic Induction

A metallic rod of length 'L' is rotated with an angular speed of '$\omega$' normal to a uniform magnetic field 'B' about an axis passing through one end of rod as shown in figure. The induced emf will be :

Choose the correct answer: