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  • A metallic rod of length is rotated with an angular speed of  <img alt="\mathrm{

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

Option: 1

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


Option: 2

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


Option: 3

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


Option: 4

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


Answers (1)

best_answer

\begin{aligned} & \epsilon=\int_0^{\mathrm{L}} \mathrm{B} \omega \mathrm{x} d \mathrm{x} \\ & =\frac{1}{2} B \omega \mathrm{L}^2 \end{aligned}

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