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An inductor (L =20 mH), a resistor ( R ...

An inductor `(L =20 mH)`, a resistor `( R = 100 Omega)` and a battery `(epsilon = 10 V)` are connected in series. After along time the circuit is short- circuited and then the battery is disconnected. Find the current in the circuit 1ms after short- circuiting.

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AI Generated Solution

To solve the problem step by step, we will follow the process of finding the initial current \( I_0 \), the time constant \( \tau \), and then using these values to find the current \( I \) after 1 ms. ### Step 1: Determine the Initial Current \( I_0 \) The initial current \( I_0 \) in the circuit when the battery is connected can be calculated using Ohm's Law: \[ I_0 = \frac{\epsilon}{R} ...
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