A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 49 Ω, R3 = 84 Ω and R4 = 85 Ω. The capacitance is C = 53 μF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign
A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 49 Ω, R3 = 84 Ω and R4 = 85 Ω. The capacitance is C = 53 μF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign
1- The switch has been open for a long time when at time t = 0, the switch is closed. What is I4(0), the magnitude of the current through the resistor R4 just after the switch is closed?
2-What is Q(∞), the charge on the capacitor after the switch has been closed for a very long time?
3-After the switch has been closed for a very long time, it is then opened. What is Q(topen), the charge on the capacitor at a time topen = 524 μs after the switch was opened?
4- What is IC,max(closed), the current that flows through the capacitor whose magnitude is maximum during the time when the switch is closed? A positive value for the current is defined to be in the direction of the arrow shown.
5-What is IC,max(open), the current that flows through the capacitor whose magnitude is maximum during the time when the switch is open? A positive value for the current is defined to be in the direction of the arrow shown.
![A circuit is constructed with four resistors, one capacitor, one battery
and a switch as shown. The values for the resistors are: R, = R, = 49 N, R3
= 84 Q and R, = 85 Q. The capacitance is C = 53 µF and the battery
voltage is V = 12 V. The positive terminal of the battery is indicated with
a + sign.
V
R3
R.
1) The switch has been open for a long time when at time t = 0, the switch is closed. What is ,(0), the magnitude of the
current through the resistor R, just after the switch is closed?
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2) What is Q(~), the
arge on the capacitor after the switch has been closed for
very long time?
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3) After the switch has been closed for a very long time, it is then opened. What is Q(topen), the charge on the capacitor
at a time tonen = 524 us after the switch was opened?
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+
4) What is Ie max(closed), the current that flows through the capacitor whose magnitude is maximum during the time
when the switch is closed? A positive value for the current is defined to be in the direction of the arrow shown.
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5) What is Ic mar(open), the current that flows through the capacitor whose magnitude is maximum during the time
when the switch is open? A positive value for the current is defined to be in the direction of the arrow shown.
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