Through a conducting coil along its axis, a short bar magnet is rapidly pulled with uniform velocity with its north pole entering the coil first. Plot the variation of
(i) flux,
(ii) induced current and
(iii) power dissipated in coil with time.

Explanation

To solve the problem of plotting the variation of flux, induced current, and power dissipated in a coil as a bar magnet is pulled through it, we will follow these steps:

### Step 1: Understand the Concept of Magnetic Flux
When a bar magnet is pulled through a conducting coil, the magnetic field lines associated with the magnet interact with the coil. The magnetic flux (\( \Phi \)) through the coil is given by the product of the magnetic field (\( B \)) and the area (\( A \)) through which the field lines pass, i.e., \( \Phi = B \cdot A \).

### Step 2: Analyze the Variation of Magnetic Flux with Time
As the north pole of the magnet enters the coil:
- Initially, the magnetic flux increases as the magnet approaches the coil.
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