### Solution Found!

# 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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### Questions & Answers

**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)