A resistor, inductor, and a battery are arranged in a circuit. The circuit has an inductance of L = 1 H and a resistance of 1.4 kΩ. Switch S

Question

A resistor, inductor, and a battery are arranged in a circuit. The circuit has an inductance of L = 1 H and a resistance of 1.4 kΩ. Switch S1 is suddenly closed at t = 0. Find the time needed for the current to reach a fraction f = 0.6 of its maximum value.

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Ngọc Diệp 6 months 2021-08-04T07:22:39+00:00 1 Answers 17 views 0

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    2021-08-04T07:23:52+00:00

    Answer:

    \tau \approx 7.14 \times 10^{-4}s \approx0.714ms

    Explanation:

    In a LC circuit The time constant τ is the time necessary for 60% of the total current (maximum current), pass through the inductor after a direct voltage source has been connected to it. The time constant can be calculated as follows:

    \tau =\frac{L}{R}

    Therefore, the time needed for the current to reach a fraction f = 0.6(60%) of its maximum value is:

    \tau =\frac{1}{1.4\times 10^{3}} =7.142857143 \times 10^{-4} \approx7.14 \times 10^{-4}s

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