The input to the circuit shown in Figure P 7.2-18 is the current i t 3e25t A for t > 0

Chapter 7, Problem P7.2-18

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QUESTION:

The input to the circuit shown in Figure P 7.2-18 is the current

                                                         \(i(t) = 3e^{-25t}\) A for t > 0

The output is the voltage

                                                     \(v(t) =  9.6e^{-25t} + 0.4\) V for t > 0

The initial capacitor voltage is \(v_C\)(0) = - 2 V. Determine the values of the capacitance C and resistance R.

Questions & Answers

QUESTION:

The input to the circuit shown in Figure P 7.2-18 is the current

                                                         \(i(t) = 3e^{-25t}\) A for t > 0

The output is the voltage

                                                     \(v(t) =  9.6e^{-25t} + 0.4\) V for t > 0

The initial capacitor voltage is \(v_C\)(0) = - 2 V. Determine the values of the capacitance C and resistance R.

ANSWER:

Step 1 of 4

Let's start by writing a KVL equation for this loop.

           (equation 1)

The current  flows through the capacitor, we know that .

So,

 

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