In an RC series circuit, you got the\' following data for capacitor voltage vs t

Question

In an RC series circuit, you got the' following data for capacitor voltage vs time after switch is closed at t-0. If the capacitor value is known as 1000 muF, what is the value of R? (a) 1000 Ohm (b) 5000 Ohm (c)l 0000 Ohm (d) 20000 Ohm (c) 25000 Ohm 2.In an RC series circuit, you recorded 2 set of data (time vs. capacitor voltage) using 2 resistors of different values. For higher value of resistor, you observed that capacitor voltage went up slowly. Circle one. (a) True, (b) False 3.In an RC series circuit, it is possible to predict how capacitor voltage will rise if know either "R" or "C" value. Circle one. (a) True, (b) False 4.In Lab 6. you observe the following sinusoidal curve in the display of the oscilloscope and time setting is 20 mus/div. What is the frequency? (a) 15000 H_z (b) 30000 H_z (c) 35000 H_z (d) 45000 H_z (e) 55000 H_z 5.What is correct KVL equation for the loop b-c-d-e? (a) 91_3,+3I_2-E_2=0 (b) 9I_3,-31_2 E_2=0 (c) 9I_3+3I_2+E_2=0 (d) 9I_3-3I_2-E_2=0 6 In wavelength measurement lab. you measured the separation between two consecutive bright spots, (a) True (b) False 7. In a R-L-C circuit. R=100 Ohm L=0.20 H. C- 0.001 F. omega=50 rad/sec. If omega changes to 50 rad/sec, current will (a) Not change, (b) Change, (c) Hard to say 8.In a R-L-C circuit, R =30 Ohm L =0.2. H, C =0.001 F,omega = 50 rad/sec. What is the magnitude of impedance Z? (a)15.45Ohm (b)32.23Ohm (c)22.36Ohm (d)31.62Ohm (e)12.00Ohm

Explanation / Answer

1. We know that V = Vo(1-e-t/RC) for capacitor charging

=> V/Vo = 1-e-t/RC

e-t/RC = 1-V/Vo

-t/RC = ln(1-V/Vo)

R = -t/C[ln(1-V/Vo)]

From the curve, V0=2V

At t = 10sec, V= 1.75V. Substituting values,

R = -10/10^-3[ln(1-1.75/2) ~ 20000.

Hence, d) is the correct answer.

2) For RC Circuit, Voltage is given by:

V = V0(1-e-t/RC)

For higher R and same C,t => e-t/RC would be lower=> 1- e-t/RC would be higher

=> V would be higher at given t

Hence (b) is correct

3. V(t) = V0(1-e-t/RC)

Since V0 in a RC circuit is known, V(t) would be known given R or C.

Hence (a) is correct.

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