In the circuit shown below, epsilon_1 = 24.0 V, epsilon_2 = 12.0 V_1 R_1 = 70.0
ID: 2309382 • Letter: I
Question
In the circuit shown below, epsilon_1 = 24.0 V, epsilon_2 = 12.0 V_1 R_1 = 70.0 Ohm and R_3 = 20.0 Ohm What is the current i_3F? An RC circuit is hooked up to a battery as shown in the figure below, with R = 636.0 Ohm. C = 25.0 mu F and the battery has and epsilon = 45.0 V. What is the time constant for this circuit? For the circuit in the previous problem, if the capacitor is initially uncharged and the switch is closed at time t = 0. what is the charge on the capacitor at time t = 1.54times 10^-2 s? For the circuit in the previous problem, what is the current through the circuit at t 1.54times 10^-2 s after the switch is closed? For the circuit in the previous problem, what is the voltage across the capacitor at t - 1.54times 10^-2 s after the switch is closed?Explanation / Answer
9.
Applying Kirchoff's Loop rule on right loop
E2-I3R3=0
I3=E2/R3 =12/20
I3=0.6 A
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10.
TIme Constant
T=RC =636*(25*10-6)
T=0.0159 s or 15.9 ms
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11.
Maximum charge
Qmax=CE =25*45 =1125 uC
In a RC circuit charge as a function as a time for charging is given by
Q=Qmax[1-e-t/T] =1125[1-e-0.0154/0.0159]
Q=698 uC or 6.98*10-4 C
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12.
Maximum current
Imax=E/R =45/636 =0.07075 A
In a RC circuit current as a function as a time for charging is given by
I=Imax[e-t/T] =0.07075[e-0.0154/0.0159]
I=0.02686 A
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13.
In a RC circuit voltage as a function of time is given by
V=E[1-e-t/T] =45[1-e-0.0154/0.0159]
V=27.92 Volts
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