A circuit is constructed with four resistors, one capacitor, one battery and a s

Question

A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 44 ?, R3 = 73 ? and R4 = 65 ?. The capacitance is C = 62 ?F and the battery voltage is V = 24 V. Consider the circuit above, with R5 = 55 ? in series with the capacitor. Once again, the switch has been open for a long time when at time t = 0, the switch is closed. What is I1(0), the magnitude of the current through the resistor R1 just after the switch is closed?
A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 44 ?, R3 = 73 ? and R4 = 65 ?. The capacitance is C = 62 ?F and the battery voltage is V = 24 V. Consider the circuit above, with R5 = 55 ? in series with the capacitor. Once again, the switch has been open for a long time when at time t = 0, the switch is closed. What is I1(0), the magnitude of the current through the resistor R1 just after the switch is closed?

Explanation / Answer

a)

When switch is just closed ,capacitor acts as short circuit i.e simple wire ,so equivalent resistance

Req =R1 +(R2 ||R3)+R4

Req =44+(44*73/44+73) +65

Req =136.45

so

I1(0) =V/Req =24/136.45

I1(0)=0.176 A

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