A coil consists of `200` turns of wire having a total reistance of `2.0Omega`. Each turn is a square of side `18cm,` and a uniform magnetic field directed perpendicular to the plane of the coil is turned on. If the field changes linearly from `0` to `0.5T` in `0.80s`, what is the magnitude of induced emf and current in the coil while the field is changing?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Identify the given parameters
- Number of turns in the coil, \( n = 200 \)
- Total resistance of the coil, \( R = 2.0 \, \Omega \)
- Side length of each square turn, \( l = 18 \, \text{cm} = 0.18 \, \text{m} \)
- Change in magnetic field, \( \Delta B = 0.5 \, \text{T} - 0 \, \text{T} = 0.5 \, \text{T} \)
- Time duration for the change in magnetic field, \( \Delta t = 0.8 \, \text{s} \)
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