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The circuit shows a resistance, R=0.01Om...

The circuit shows a resistance, `R=0.01Omega` and inductance L=3mH connected to a conducting rod PQ of length l=1m which can slide on a perfectly conducting circular arc of radius l with its center at P. Assume that friction and gravity are absent and a constant uniform magnetic field b=0.1T exists as shown in the figure. At t=0, the circuit is seitched on a simultaneously an external torque is applied on the rod so that it rotates about P with a constant angular velocity `omega =2 rad//sec`. Find the magnitude of this torque (inN-m) at t=(0.3In 2) second.

Text Solution

Verified by Experts

The correct Answer is:
4
The Half of the maximum current is equal to `i_(1)=(Bomega I^(2))/(4R)` at `t=L/R In 2`
The torque at this instant` =(B^(2)omegaI^(4))/(8R)=4N-m`
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