Two circular coils of radii a and b (`a gt b`) are put in the vicinity of each other. The coefficient of mutual induction for the pair of coils is 0.5 mH. Calculate the flux linked with the larger coil when a current of 1 A flows through the smaller one. What happens when current in smaller coil suddenly falls to zero?

Explanation

To solve the problem, we need to calculate the magnetic flux linked with the larger coil when a current of 1 A flows through the smaller coil, and then analyze what happens when the current in the smaller coil suddenly falls to zero.

### Step-by-Step Solution:

1. **Understanding the Given Data:**
- The coefficient of mutual induction (M) between the two coils is given as \(0.5 \, \text{mH}\) (milliHenries).
- We need to convert this to Henries:
\[
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