PartI R S, S, Give the symbolic expression for the emf Eusing KVL for the circuit with S1 closed and S2 open. Give your answer in terms of the current I, resistor R, capacitors C1 and C2 and charges stored in the respective capacitors Q1 and Q2. Use * to denote product and / to denote division. So to group the product of, say, a and b_1 write a*b_1. And to write a ratio of say, c_1 and d write C_1/d. To add the product and ratio write a*b_1 + c_1/d. aWrite the mathematical expression for emf E. E = In the figure there's a circuit with an emf E = 15 V, two resistors R = 11 kNand R2 = 3.3 kN two capacitors C1 = 29 µFand C2 = 29 µFand two switches S1 and S2. b) Find the time constant for this configuration of the circuit. Time constant T Give your answer up to at least three significance digits. ms c) Find how much charge will be stored in C, after time t = 1.47seconds. Charge stored in C, Give your answer up to at least three significance digits. µC

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PartI
a
S.
3
e
Give the symbolic expression for the emf Eusing KVL for the circuit with S1 closed and S2 open. Give your answer in terms of the current I, resistor R,
capacitors C1 and C2 and charges stored in the respective capacitors Q1 and Q2.
Use * to denote product and / to denote division. So to group the product of, say, a and b_1 write a*b_1. And to write a ratio of say, c_1 and d write
c_1/d. To add the product and ratio write a*b_1 + c_1/d .
a)Write the mathematical expression for emf E.
E =
In the figure there's a circuit with an emf E = 15 V, two resistors R = 11 kNand R2 = 3.3 k two capacitors C
switches S1 and S2.
29 μFand C,
= 29 µFand two
=
b) Find the time constant for this configuration of the circuit.
Time constant T
Give your answer up to at least three significance digits.
ms
c) Find how much charge will be stored in C, after time t = 1.4Tseconds.
Charge stored in C2
Give your answer up to at least three significance digits.
µC
PartII
After t = 10Tseconds, we open switch S1 and close switch S2. Mark current time as t' = 0 In this configuration, capacitor C, discharges through the
resistor R2.
d) Find the charge stored on the capacitor C, as the switch Sj was turned off.
Charge stored
Give your answer up to at least three significance digits.
µC
e) Find the current throught the resistor R2 at time t' = 1.5T
Current
Give your answer up to at least three significance digits.
f) Find the time from t' =
Q that will be taken by the capactor to loose half of its charge.
Time taken to discharge
Give your answer up to at least three significance digits.
ms
Transcribed Image Text:PartI a S. 3 e Give the symbolic expression for the emf Eusing KVL for the circuit with S1 closed and S2 open. Give your answer in terms of the current I, resistor R, capacitors C1 and C2 and charges stored in the respective capacitors Q1 and Q2. Use * to denote product and / to denote division. So to group the product of, say, a and b_1 write a*b_1. And to write a ratio of say, c_1 and d write c_1/d. To add the product and ratio write a*b_1 + c_1/d . a)Write the mathematical expression for emf E. E = In the figure there's a circuit with an emf E = 15 V, two resistors R = 11 kNand R2 = 3.3 k two capacitors C switches S1 and S2. 29 μFand C, = 29 µFand two = b) Find the time constant for this configuration of the circuit. Time constant T Give your answer up to at least three significance digits. ms c) Find how much charge will be stored in C, after time t = 1.4Tseconds. Charge stored in C2 Give your answer up to at least three significance digits. µC PartII After t = 10Tseconds, we open switch S1 and close switch S2. Mark current time as t' = 0 In this configuration, capacitor C, discharges through the resistor R2. d) Find the charge stored on the capacitor C, as the switch Sj was turned off. Charge stored Give your answer up to at least three significance digits. µC e) Find the current throught the resistor R2 at time t' = 1.5T Current Give your answer up to at least three significance digits. f) Find the time from t' = Q that will be taken by the capactor to loose half of its charge. Time taken to discharge Give your answer up to at least three significance digits. ms
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