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

Practice Questions

Q1
A capacitor has a capacitance of 4μF and is charged to 12V. What is the charge on the capacitor?
  1. 48μC
  2. 12μC
  3. 4μC
  4. 3μC

Questions & Step-by-Step Solutions

A capacitor has a capacitance of 4μF and is charged to 12V. What is the charge on the capacitor?
  • 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.
  • Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) is defined by the formula Q = C * V.
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