A coil is connected in series with a 10.0 `kOmega` resistor. An ideal 50.0 V battery is applied across the two devices and the current reaches a value of 2.00 mA after 5.00 ms. (a) Find the inductance of the coil. (b) How much energy is stored in the coil at this same moment?

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as requested.

### Part (a): Find the inductance of the coil.

1. **Identify the given values:**
- Voltage (V) = 50.0 V
- Resistance (R) = 10.0 kΩ = 10,000 Ω
- Current (I) = 2.00 mA = 0.002 A
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