Physics, 05.05.2020 06:34 rue61

LC Circuits: A series circuit contains an 80-μF capacitor, a 0.020-H inductor, and a switch. The resistance of the circuit is negligible. Initially, the switch is open, the capacitor voltage is 50 V, and the current in the inductor is zero. At time t = 0 s, the switch is closed. When the potential across the capacitor is 30 V, what is the rate of change of the current?

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Answer from: gpere6722

The rate of current change in the circuit is $\frac{dI}{dt} = 1500 A/s$

Explanation:

From the question we are told that

The capacitor has a value $C = 80 \mu F$

The inductor has a value L = 0.020 H

The capacitors voltage is V_c = 50V at t = 0s

The new capacitor voltage is $V_c__{n}} = 30 V$

Generally when the switch is closed the potential across the inductor is equal to the potential across the capacitor

So for the inductor

rate of current change is given as

$\frac{dI}{dt} = \frac{V_l}{L}$

Where V_l is the voltage across the inductor. $V_l = V_c__{n}}$

Substituting value

$\frac{dI}{dt} = \frac{30}{0.020}$

$\frac{dI}{dt} = 1500 A/s$

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LC Circuits: A series circuit contains an 80-μF capacitor, a 0.020-H inductor, and a switch. The res...

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