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 = 65 O, R3 = 115 O and R4 = 136 O. The capacitance is C = 79 µF and the battery voltage is V = 24 V. 1) 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 2) What is I1(8), the magnitude of the current that flows through the resistor R1 a very long time after the switch has been closed? ___A 3) What is Q(8), the charge on the capacitor after the switch has been closed for a very long time? ___µC
4) What is I2(8), the magnitude of the current through resistor R2, after the switch has been closed for a very long time?
___A 5) What is IC(0), the magnitude of the current through the capacitor just after the switch is closed? ___A

A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 65 O, R3 = 115 O and R4 = 136 O. The capacitance is C = 79 µF and the battery voltage is V = 24 V. 1) 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 1) 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? 2) What is I1(8), the magnitude of the current that flows through the resistor R1 a very long time after the switch has been closed? ___A 3) What is Q(8), the charge on the capacitor after the switch has been closed for a very long time? ___µC
2) What is I1(8), the magnitude of the current that flows through the resistor R1 a very long time after the switch has been closed? ___A 3) What is Q(8), the charge on the capacitor after the switch has been closed for a very long time? ___µC
3) What is Q(8), the charge on the capacitor after the switch has been closed for a very long time? ___µC
4) What is I2(8), the magnitude of the current through resistor R2, after the switch has been closed for a very long time?
___A 5) What is IC(0), the magnitude of the current through the capacitor just after the switch is closed? ___A

What is IC(0), the magnitude of the current through the capacitor just after the switch is closed? ___A

Explanation / Answer

R1 = R2 = 65 O, R3 = 115 O, R4 = 136 O, C = 79 µF, V = 24 V. 1) just after the switch is closed, C is like a resistor with zero resistance, so I1(0) = V/(R1 + R4) = 0.119 A 2) very long time after the switch has been closed, C is like a resistor with infinite resistance, so I1(8) = V/(R1 + R2 + R3 + R4) = 0.0630 A 3) Q(8) = C*[I1(8)*(R2 + R3)] = 896 µC 4) I2(8) = I1(8) = 0.0630 A 5) IC(0) = I1(0) = 0.119 A

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