If the capacitance of a capacitor is 3 µF and it is charged to 6 V, what is the

Practice Questions

Q1
If the capacitance of a capacitor is 3 µF and it is charged to 6 V, what is the charge on the capacitor?
  1. 18 µC
  2. 12 µC
  3. 6 µC
  4. 9 µC

Questions & Step-by-Step Solutions

If the capacitance of a capacitor is 3 µF and it is charged to 6 V, what is the charge on the capacitor?
  • Step 1: Identify the formula for charge (Q) on a capacitor, which is Q = C * V.
  • Step 2: Note the given values: capacitance (C) is 3 µF and voltage (V) is 6 V.
  • Step 3: Convert the capacitance from microfarads (µF) to farads (F) if necessary. 3 µF = 3 x 10^-6 F.
  • Step 4: Substitute the values into the formula: Q = 3 x 10^-6 F * 6 V.
  • Step 5: Calculate the charge: Q = 18 x 10^-6 C.
  • Step 6: Convert the charge back to microcoulombs (µC): 18 x 10^-6 C = 18 µC.
  • Capacitance and Charge Relationship – The relationship between capacitance (C), voltage (V), and charge (Q) is defined by the formula Q = C * V, where capacitance is measured in farads, voltage in volts, and charge in coulombs.
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