A current of `4A` flows in a coil when connected to a `12V DC` source. If the same coil is connected to a `12V, 50 rad//s AC` source, a current of `2.4A` flows in the circuit. Determine the inductance of the coil. Also, find the power developed in the circuit if a`2500muF` capacitor is connected in series with the coil.

Explanation

To solve the problem step by step, we will first determine the inductance of the coil and then calculate the power developed when a capacitor is connected in series with the coil.

### Step 1: Calculate the Resistance of the Coil
When the coil is connected to a 12V DC source and a current of 4A flows, we can calculate the resistance (R) using Ohm's Law:
\[ R = \frac{V}{I} \]
Where:
- \( V = 12V \)
- \( I = 4A \)
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