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The RC circuit of the figure (Figure 1) has R = 5.0k and C = 4.0μF. The capacitor is at voltage V₁ at t=0, when the switch is closed. How long does it take the capacitor to discharge to 3.0 % of its initial voltage? Express your answer using two significant figures.

The RC circuit of the figure (Figure 1) has R = 5.0k and C = 4.0μF. The capacitor is at voltage V₁ at t=0, when the switch is closed. How long does it take the capacitor to discharge to 3.0 % of its initial voltage? Express your answer using two significant figures.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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The RC circuit of the figure (Figure 1) has R = 5.0kN and C= 4.0μF. The capacitor is at voltage V₂ at t = 0, when the switch is closed. Part A How long does it take the capacitor to discharge to 3.0 % of its initial voltage? Express your answer using two significant figures. t = ΑΣΦ ? S
Transcribed Image Text:The RC circuit of the figure (Figure 1) has R = 5.0kN and C= 4.0μF. The capacitor is at voltage V₂ at t = 0, when the switch is closed. Part A How long does it take the capacitor to discharge to 3.0 % of its initial voltage? Express your answer using two significant figures. t = ΑΣΦ ? S
Expert Solution
Step 1: Given data

Resistance of an RC circuit is R equals 5 space straight k straight capital omega

Capacitance is C equals 4 space straight mu straight F

At time t equals 0, the voltage across capacitor is V subscript 0

Note:

1 space straight k straight capital omega equals 1000 space straight capital omega

1 space straight F equals 10 to the power of 6 space straight mu straight F

Find:

Time taken by capacitor to discharge to 3 percent sign of its initial voltage.

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