A capacitor has a capacitance of 4μF and is charged to 12V. What is the charge on the capacitor?

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Q: A capacitor has a capacitance of 4μF and is charged to 12V. What is the charge on the capacitor?

Solution: Charge (Q) on a capacitor is given by Q = C * V. Thus, Q = 4μF * 12V = 48μC.

Steps: 6

Step 1: Identify the formula for charge on a capacitor, which is Q = C * V.
Step 2: Identify the values given in the question: capacitance (C) is 4μF and voltage (V) is 12V.
Step 3: Convert the capacitance from microfarads (μF) to farads (F) if necessary. 4μF = 4 * 10^-6 F.
Step 4: Substitute the values into the formula: Q = 4μF * 12V.
Step 5: Calculate the charge: Q = 4 * 10^-6 F * 12V = 48 * 10^-6 C.
Step 6: Convert the charge back to microcoulombs (μC): 48 * 10^-6 C = 48μC.