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A voltage source of 10 V is connected to a series RC circuit with R = 1.0 MQ and C=4.0 µF. Initially, the capacitor is fully charged. Find the time required for the current in the circuit to decrease to 10% of its original value. (a) 0.42 s (b) 2.3 s (c) 4.0 s (d) 9.2 s (e) 18 s

A voltage source of 10 V is connected to a series RC circuit with R = 1.0 MQ and C=4.0 µF. Initially, the capacitor is fully charged. Find the time required for the current in the circuit to decrease to 10% of its original value. (a) 0.42 s (b) 2.3 s (c) 4.0 s (d) 9.2 s (e) 18 s

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11. A voltage source of 10 V is connected to a series RC circuit with R = 1.0 M2 and C=4.0 µF. Initially, the capacitor is fully charged. Find the time required for the current in the circuit to decrease to 10% of its original value. (a) 0.42 s (b) 2.3 s (c) 4.0 s (d) 9.2 s (e) 18 s
Transcribed Image Text:11. A voltage source of 10 V is connected to a series RC circuit with R = 1.0 M2 and C=4.0 µF. Initially, the capacitor is fully charged. Find the time required for the current in the circuit to decrease to 10% of its original value. (a) 0.42 s (b) 2.3 s (c) 4.0 s (d) 9.2 s (e) 18 s
Expert Solution
Step 1

Given,

the external source voltage is Vs=10V

The capacitance of the capacitor is C=4μF

Resistance is R=1MΩ

And all are connected in series.

 

Now due to the source voltage capacitor being fully charged, and when it is removed from the circuit, then the current start decreasing

Let the initial current is io, then after time t it becomes,

it=ioe-tRC

So time will be

t=-RClnitio

 

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