An inductor of 4 Henry\'s and a resistor of 10 Ohms are connected to a 20V batte

Question

An inductor of 4 Henry's and a resistor of 10 Ohms are connected to a 20V battery. The switch connecting all three in a circuit is closed at t=0. a. What is the initial current in the circuit? b. What is the final steady state current in the circuit? c. What is the initial rate of increase of the circuit? d. About how long does it take for the circuit to go to steady state?   

An inductor of 4 Henry's and a resistor of 10 Ohms are connected to a 20V battery. The switch connecting all three in a circuit is closed at t=0. a. What is the initial current in the circuit? b. What is the final steady state current in the circuit? c. What is the initial rate of increase of the circuit? d. About how long does it take for the circuit to go to steady state?   

Explanation / Answer

L = 4 H, R = 10 Ohms, V = 20 V a. What is the initial current in the circuit? 0 b. What is the final steady state current in the circuit? I = V/R = 2.0 A c. What is the initial rate of increase of the circuit? dI/dt = V/L = 5.0 A/s d. About how long does it take for the circuit to go to steady state? theoretically, it will take an infinitely long time.

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