The circuit shown in Figure P 14.6-2 is represented by the differential equation d 2 v t

Chapter 14, Problem P14.6-2

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QUESTION:

The circuit shown in Figure P 14.6-2 is represented by the differential equation

                                                             \(\frac{d^2 v(t)}{d t^2}+7 \frac{d v(t)}{d t}+10 v(t)=120\)

after time t = 0. The initial conditions are

                                                                              \(i(0)=0 \text { and } v(0)=4 V\)

Determine the capacitor voltage v(t) after time t = 0.

Questions & Answers

QUESTION:

The circuit shown in Figure P 14.6-2 is represented by the differential equation

                                                             \(\frac{d^2 v(t)}{d t^2}+7 \frac{d v(t)}{d t}+10 v(t)=120\)

after time t = 0. The initial conditions are

                                                                              \(i(0)=0 \text { and } v(0)=4 V\)

Determine the capacitor voltage v(t) after time t = 0.

ANSWER:

Step 1 of 4

The circuit is characterized by the equation

     

With the initial conditions

      and

 

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