Question

Find the mathematical expressions for the transient behavior of the voltage Vc and the current ic if the capacitor was initially uncharged and the switch is thrown into position at (t = 0). Find the mathematical expressions for the voltage Vc and the current ic if the switch is moved to position 2 at (t = 5 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = 7 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = -7 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = 15 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position 3 at (t = 20 ms). Plot the waveforms obtained in parts (a) to (f). Demonstrate all necessary steps, formulas, and calculations properly. Also, redraw the circuit diagram for all three switch positions: 20k 20 Ω 3 C2V R10k 0.05 uF C 

          Find the mathematical expressions for the transient behavior of the voltage Vc and the current ic if the capacitor was initially uncharged and the switch is thrown into position at (t = 0). Find the mathematical expressions for the voltage Vc and the current ic if the switch is moved to position 2 at (t = 5 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = 7 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = -7 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = 15 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position 3 at (t = 20 ms). Plot the waveforms obtained in parts (a) to (f). Demonstrate all necessary steps, formulas, and calculations properly. Also, redraw the circuit diagram for all three switch positions:

20k
20 Ω 3 C2V R10k
0.05 uF C
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Added by Frank M.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Find the mathematical expressions for the transient behavior of the voltage Vc and the current ic if the capacitor was initially uncharged and the switch is thrown into position at (t = 0). Find the mathematical expressions for the voltage Vc and the current ic if the switch is moved to position 2 at (t = 5 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = 7 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = -7 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position at (t = 15 ms). Find the mathematical expressions for the voltage Vc and the current ic if the switch is thrown into position 3 at (t = 20 ms). Plot the waveforms obtained in parts (a) to (f). Demonstrate all necessary steps, formulas, and calculations properly. Also, redraw the circuit diagram for all three switch positions: 20k 20 Ω 3 C2V R10k 0.05 uF C
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17% Part (a) Calculate the time constant Ě„Ě„ for the circuit in seconds. Ě„Ě„ = 0.07875 Correct! 17% Part (b) After a very long time after the switch has been closed, what is the voltage drop VC across the capacitor in terms of VB? VC = VB Correct! 17% Part (c) Calculate the charge Q on the capacitor a very long time after the switch has been closed in C. Q = 9 * 10^(-4) Q = 0.0009 Correct! 17% Part (d) Calculate the current I a very long time after the switch has been closed in A. I = 0 Correct! 17% Part (e) Calculate the time t after which the current through the resistor is one-third of its maximum value in s. t1/3 = 0.0865 Correct! 17% Part (f) Calculate the charge Q on the capacitor when the current in the resistor equals one third its maximum value in C. Q =

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B. TUTORIAL QUESTIONS IN DC RC and RL TRANSIENTS 1. The switch in Fig. 1 is moved from A to B at t = 0 after being at A for a long time. This places the two capacitors in series, thus allowing equal and opposite dc voltages to be trapped on the capacitors. (a) Determine v1(0-), v2(0-), and vR(0-). (b) Find v1(0+), v2(0+), and vR(0+). (c) Determine the time constant of vR(t). (d) Find vR(t), t > 0. (e) Find i(t). (f) Find v1(t) and v2(t) from i(t) and the initial values. (g) Show that the stored energy at t = infinity plus the total energy dissipated in the 20 kOhm resistor is equal to the energy stored in the capacitors at t = 0.

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(a) A circuit as shown in Fig: Q1, is having its switch closed for a long time. Analyse the circuit to determine the voltage across the capacitor and current through the coil before the opening of the switch. (b) After the opening of the switch at t=0, we have two separate circuits, the RL circuit to the right of the switch with a natural response, and an RC circuit to the left of the switch with a step response. Analyse the circuit to determine the voltage Vc(t) for t > 0 and Vc at t=15ms after the opening of the switch. ii. Analyse the circuit to determine the current iL(t) for t > 0 and iL at t=15ms after the opening of the switch.

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00:01 So here we have been given a question as the 1 .2 kilogram ball drops.
00:04 So let's take the mass is the 1 .2 kilogram and it is vertically fallen from the height and initial speed is the 25 meter per second which is in downward direction and the upward direction it rebounds with the 10 meter per second speed and the time of contact is the 0 .02 second.
00:35 So we have to calculate the average force...
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