Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 96CP: Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after...
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Transcribed Image Text:**Problem 3:**
A 10 mF capacitor is charged in series with a 50Ω resistor using a 1.5V battery.
a) What is the time constant of the circuit?
b) If you wanted the capacitor to charge more slowly, what resistor should you substitute, a 10Ω one or a 100Ω one? Explain.
Expert Solution

Step 1: Know the basic concepts for a RC circuit:
For a series RC circuit, the charge on a charging capacitor at any time is given as,
(1)
where is the charge on the capacitor at any time
,
is the initial potential difference across the capacitor,
is the capacitance, and
is the time constant.
The time constant for a series RC circuit is given by the formula.
(2)
where is the time constant,
is the resistance, and
is the capacitance of the circuit.
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