An uncharged series RC circuit is to be connected across a battery.For each of the following changes, determine whetherthe time for the capacitor to reach 90% of its final chargewould increase, decrease, or remain unchanged. Indicateyour answers with “I,” “D,” or “U,” respectively. (a) The RCtime constant τ is doubled. (b) The battery voltage is doubled.(c) A second resistor is added in series with the original resistor.

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Asked Dec 19, 2019
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An uncharged series RC circuit is to be connected across a battery.
For each of the following changes, determine whether
the time for the capacitor to reach 90% of its final charge
would increase, decrease, or remain unchanged. Indicate
your answers with “I,” “D,” or “U,” respectively. (a) The RC
time constant τ is doubled. (b) The battery voltage is doubled.
(c) A second resistor is added in series with the original resistor.

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Expert Answer

Step 1

a)

Write the equation for charge at instant time

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g = Ce(1-e") Here Cis theis the capacitance, r is the time constant andtistheinstant time

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Step 2

As the time constant is doubled, required time is also increased. Thus the answer is “I”

Step 3

b)

Voltage and time is not dependent to each other. Thus th...

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