Question Consider the circuit in the figure below, in which V = 12 V, and the sw

Question

Question Consider the circuit in the figure below, in which V = 12 V, and the switch has been in position a for a long time. The switch is changed to position b at t = 0 s. What are the charge Q on the capacitor and the current I through the resistor at the times tabulated below?

time Q (?C) I (mA) (b) immediately after
the switch is closed (c) at t = ? (d) at t = 200 ?s
Question Consider the circuit in the figure below, in which V = 12 V, and the switch has been in position a for a long time. The switch is changed to position b at t = 0 s. What are the charge Q on the capacitor and the current I through the resistor at the times tabulated below?

Explanation / Answer

Q = C * V = 2 * 12 = 24 muC

I = V / R = 12 / 50 = 240 mA

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I1 = I * 1/e = 0.368 * 240 mA

= 88.32 mA

Q1 = C * R * I1 = 2 * 50 * 88.32 mA

= 8.832 muC

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t = 200 mus

I2 = I * e-(200/100) = 1/e2 = 135 * 240 = 32.48 mA

Q2 = C * R * I2 = 2 * 32.48 * 50

= 3.248 muC

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