Question

In the case of a current carrying coil, the induced EMF is maximum when the coil's plane is:

• A. Parallel to the magnetic field
• B. Perpendicular to the magnetic field
• C. At an angle of 45°
• D. At an angle of 90°

Hint:

To achieve maximum induced EMF, position the coil at an angle of 90° to the magnetic field.

Answer 1

The Correct Option is C

Step 1: Faraday’s law of electromagnetic induction
The induced emf in a coil is given by:
\( \mathcal{E} = -\frac{d\Phi}{dt} \) where magnetic flux is:
\( \Phi = BA \cos \theta \)

Step 2: Condition for maximum emf
The induced emf is maximum when the rate of change of magnetic flux is maximum. This occurs when:
\( \cos\theta = 0 \Rightarrow \theta = 90^\circ \)

Step 3: Physical interpretation
At \( \theta = 90^\circ \), the magnetic field is parallel to the plane of the coil, so flux changes most rapidly.

Final Answer:
Thus, the induced emf is maximum when the plane of the coil is parallel to the magnetic field.