The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) Charge vs. Time 20 18 16 14 O 12 10 6. 4 2 3 7 8. 10 Time (s) Chart Area Use the graph to estimate the time constant for this circuit, r. Estimate the resistance of the resistor R in this circuit. Charge (C) 00
The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) Charge vs. Time 20 18 16 14 O 12 10 6. 4 2 3 7 8. 10 Time (s) Chart Area Use the graph to estimate the time constant for this circuit, r. Estimate the resistance of the resistor R in this circuit. Charge (C) 00
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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Step 1
Whenever an input is applied to the RC network, the capacitor will take some time to reach its final value. The time constant is the time required by the network to reach 63.2% of final value.
Step 2
a). Time constant:
From the graph, the 63.2% of final charge value is
=0.632*20=12.64
The time required to reach the charge value of 12.64 is 2.4seconds.
So, the time constant=2.4s
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