A coil of resistance `20Omega` and inductance `0.5H` is switched to `DC200V` supply. Calculate the rate of increase of current
a. at the instant of closing the switch and
b. after one time constant.
c. Find the steady state current in the circuit.

Explanation

To solve the problem step by step, we will calculate the rate of increase of current at the instant of closing the switch, after one time constant, and the steady state current in the circuit.

### Given Data:
- Resistance, \( R = 20 \, \Omega \)
- Inductance, \( L = 0.5 \, H \)
- Voltage, \( E = 200 \, V \)

### Step 1: Calculate the Time Constant
...