An uncharged capacitor and a resistor are connected in series to a battery. If ε = 9.00 V, C = 20 μF, and R = 2 MS. a. Find the time constant of the circuit. b. Find the voltage across the resistor at the moment the switch is closed. c. The maximum charge on the capacitor. d. The voltage across the resistor 20 seconds after the switch is closed.
An uncharged capacitor and a resistor are connected in series to a battery. If ε = 9.00 V, C = 20 μF, and R = 2 MS. a. Find the time constant of the circuit. b. Find the voltage across the resistor at the moment the switch is closed. c. The maximum charge on the capacitor. d. The voltage across the resistor 20 seconds after the switch is closed.
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Transcribed Image Text:An uncharged capacitor and a resistor are connected in series to a battery. If & = 9.00 V, C =
20 μF, and R = 2 Mº.
a. Find the time constant of the circuit.
b. Find the voltage across the resistor at the moment the switch is closed.
c. The maximum charge on the capacitor.
d. The voltage across the resistor 20 seconds after the switch is closed.
e. The time it takes the capacitor to be 50% charged.
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Step 1: Determine the given data:
VIEWStep 2: a. Calculate the time constant:
VIEWStep 3: b. Calculate the voltage across resistor at the moment when switch is closed:
VIEWStep 4: c. Calculate maximum charge on capacitor:
VIEWStep 5: d. Calculate the voltage across resistor after 20 sec:
VIEWStep 6: e. Time takes to charge the capacitor by 50%:
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