The circuit shown contains a voltage source with emf e = 8.99 V, a resistor with resistance R = 165 k2, and a capacitor with capacitance C= 647 nF. When switch S is set to position a, the three circuit elements are in series. When the switch is in position b, the battery is excluded from the circuit. The switch is initially moved to position a where it remains for a sufficiently long time that the capacitor is fully charged. Part (a) Calculate the maximum charge, in coulombs, on the capacitor.

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The circuit shown contains a voltage source with emf = 8.99 V, a resistor with
resistance R = 165 k2, and a capacitor with capacitance C = 647 nF. When switch S is set to position a,
the three circuit elements are in series. When the switch is in position b, the battery is excluded from the
circuit. The switch is initially moved to position a where it remains for a sufficiently long time that the
capacitor is fully charged.
Part (a) Calculate the maximum charge, in coulombs, on the capacitor.
Q-5.81-10-6)
Q-5.810x10 C
The voltage will not change.
makes contact with terminal b?
Part (b) The switch is moved from position a, but it is not connected to position b, so the circuit not a complete circuit. What will happen to the voltage
across the capacitor?
Part (c) The switch is now moved to position b. What is the mag
time.
V(0) WE
S
b
R
ww
1-5.44 10(-5)
1-5.440 x 10¹ A
Part (d) With time measured from the instant that switch S is closed in position b, enter an expression for the voltage across the capacitor as a function of
1=
C
aneous current, in amperes, through resistor at the instant the switch
Part (f) Calculate the current through the resistor, in amperes, at time t = 45.5 ms after the switch is closed in position b.
A
Part (e) With time measured from the instant that switch S is closed in position b, calculate the time, in seconds, when the charge on the capacitor is one-
narr or its maximum value.
fig=0.07300 s
Transcribed Image Text:The circuit shown contains a voltage source with emf = 8.99 V, a resistor with resistance R = 165 k2, and a capacitor with capacitance C = 647 nF. When switch S is set to position a, the three circuit elements are in series. When the switch is in position b, the battery is excluded from the circuit. The switch is initially moved to position a where it remains for a sufficiently long time that the capacitor is fully charged. Part (a) Calculate the maximum charge, in coulombs, on the capacitor. Q-5.81-10-6) Q-5.810x10 C The voltage will not change. makes contact with terminal b? Part (b) The switch is moved from position a, but it is not connected to position b, so the circuit not a complete circuit. What will happen to the voltage across the capacitor? Part (c) The switch is now moved to position b. What is the mag time. V(0) WE S b R ww 1-5.44 10(-5) 1-5.440 x 10¹ A Part (d) With time measured from the instant that switch S is closed in position b, enter an expression for the voltage across the capacitor as a function of 1= C aneous current, in amperes, through resistor at the instant the switch Part (f) Calculate the current through the resistor, in amperes, at time t = 45.5 ms after the switch is closed in position b. A Part (e) With time measured from the instant that switch S is closed in position b, calculate the time, in seconds, when the charge on the capacitor is one- narr or its maximum value. fig=0.07300 s
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