Question

A circle insulated copper wire loop is twisted to form two loops of area $A$ and $2A$ as shown in the figure. At the point crossing. The wires remain electrically insulted from each other. The entire loop lies in the plane (of the paper). A uniform magnetic filed $\overrightarrow{B}$ point into the plane of the paper. At $t=0$, the loop starts rotating about the common diameter as axis with a constant angular velocity $\omega$ in the magnetic field. Which of the following option is/are correct?

• A. The rate of change of the flux is maximum when the plane of the loops is perpendicular to plane of the paper.
• B. The net emf induced due to both the loops is proportional to $\cos \omega t$.
• C. The emf induced in the loop is proportional to the sun of the areas of the two loops.
• D. non of the above.

Answer 1

The correct option is A The rate of change of the flux is maximum when the plane of the loops is perpendicular to plane of the paper.

Since $\cos \theta =1$ when $\theta =0^{\circ }$ rate of change of flux is maximum when loop is $\perp$r to the plane of paper.