physics very quck pls For the circuit shown in the figure, a-What are the values
ID: 1356116 • Letter: P
Question
physics very quck pls For the circuit shown in the figure, a-What are the values of the current and I_1, I_2, and I_3? What is the power dissipated by the 34 Ohm resistor? What is the voltage across 180 Ohm resistance? For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0 What is the maximum current in the circuit? How many seconds after closing the switch will the charge stored in the capacitor be equal to 65% of the maximum charge? What is the voltage across R when the capacitor is half-charged?Explanation / Answer
problem
1)
a)
for the loop through R2 , R1
10 - i2*R2 - i1*R1 = 0
10 - i2*60 - i1*34 = 0.........(1)
for loop R3 , R2 and 15
15 - i3*R3 - i2*R2 = 0
15 - i3*180 - i2*60 = 0...............(2)
i1 +i3 = i2...........(3)
solving 1 , 2 , 3
i1 = 0.08 A
i2 = 0.12 A
i3 = 0.04 A
(b)
P = I1^2*R1 = 0.08^2*34 = 0.2176 W
(c)
V = I3*R3 = 0.04*180 = 7.2 V
++++++++++++++++
P2)
Imax = V/R = 80/(1.5*10^6) = 5.33*10^-5 A
2)
q = Q(e^-t/RC)
q = 0.65Q
0.65 = e^-(t/(1.5*10^6*22*10^-6))
t = 14.2 s
3)
q = Q*(e^-t/RC)
q = Q/2
0.5 = e^-(t/(1.5*22))
aftr t = 23 s q = Q/2
v = Vo*(1-e^-t/RC)
v = vo/2 = 80/2 = 40 V
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