A 1.58 capacitor is charged through a 128 resistor and then discharged through t
ID: 1691361 • Letter: A
Question
A 1.58 capacitor is charged through a 128 resistor and then discharged through the same resistor by short-circuiting the battery.Part A
While the capacitor is being charged, find the time for the charge on its plates to reach of its maximum value.
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Part B
While the capacitor is being charged, find the current in the circuit at the time when the charge on its plates has reached of its maximum value.
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Part C
During the discharge of the capacitor, find the time for the charge on its plates to decrease to of its initial value.
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Part D
Find the time for the current in the circuit to decrease to of its initial value.
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Explanation / Answer
if the capacitor is initially uncharged and using a 12 V battery and 1.58 E-6 Farads tau or time constant ---> RC circuit : a) 128 ohms * 1.58 microfarads = 202 E-6 seconds to reach full charge b) 12V / 128 ohms = 0.09375 A at the instant of being completely charged because using a DC power supply the cap is an open c) for the capacitor to discharge to 1/2 of initial uncharged state use : Ln(2) * tau (R*C or 202E -6) = 140 E-6 seconds d) same as c
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