Solved: The voltage v(t) across a capacitor and current i(t) in that capacitor adhere to

Chapter 7, Problem P7.2-3

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QUESTION:

The voltage v(t) across a capacitor and current i(t) in that capacitor adhere to the passive convention. Determine the capacitance when the voltage is \(v(t)=12 \cos \left(500 t-45^{\circ}\right) \mathrm{V}\) and the current is \(i(t)=3 \cos \left(500 t+45^{\circ}\right) \mathrm{mA}\).

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QUESTION:

The voltage v(t) across a capacitor and current i(t) in that capacitor adhere to the passive convention. Determine the capacitance when the voltage is \(v(t)=12 \cos \left(500 t-45^{\circ}\right) \mathrm{V}\) and the current is \(i(t)=3 \cos \left(500 t+45^{\circ}\right) \mathrm{mA}\).

ANSWER:

Step 1 of 3

Current through a capacitor is equal to:

           

Solving for :

         

         

         

         

                                            (1)

 

 

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