Circuit 1 is composed of a single resistor and a single capacitor, connected ser

Question

Circuit 1 is composed of a single resistor and a single capacitor, connected series to a PWL voltage source. The voltage source output is given by: Given the values in Circuit 1, calculate the voltage across the capacitor as a function of time. Give your answer in piecewise form (0 greaterthanorequalto t greaterthanorequalto 5ms; 5ms greaterthanorequalto t greaterthanorequalto 10ms; etc.). On the Graphed window, Show Cursors. Then, move cursor #1 to the 10ms mark. Move cursor #2 one time constant (tau) past 10ms. Use the dx value (time between cursors) to ensure that you are one time constant past 10ms. This shows how quickly the capacitor discharges, based on the R and C values. On the Graphed window, Show Cursors. Then, move cursor #1 to the 15ms mark. Move cursor #2 one time constant (tau) past 15ms. Use the dx value (time between cursors) to ensure that you are one time constant past 15ms. This shows how quickly the capacitor charges, based on the R and C values.

Explanation / Answer

solution:

1) for 0<=t<=5 [ t in ms]

v2=4 v

since given circuit is in series so current will be same for all the component.

let current i1is following through the circuit in the time interval 0 to 5 ms.

so i1 = 4/(r+xc)

i1=4/(104+1/0.047*10-6)

=0.188 amp

now voltage across capacitor i.e., vc= 1/c*integration of 0.188 dt from t=0 to t=5

so vc=2*106 v ans.

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