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If a capacitor of capacitance 4μF is connected to a 12V battery, what is the cha

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Question: If a capacitor of capacitance 4μF is connected to a 12V battery, what is the charge on the capacitor?

Options:

  1. 48μC
  2. 12μC
  3. 4μC
  4. 24μC

Correct Answer: 48μC

Solution: 

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

If a capacitor of capacitance 4μF is connected to a 12V battery, what is the cha

Practice Questions

Q1
If a capacitor of capacitance 4μF is connected to a 12V battery, what is the charge on the capacitor?
  1. 48μC
  2. 12μC
  3. 4μC
  4. 24μC

Questions & Step-by-Step Solutions

If a capacitor of capacitance 4μF is connected to a 12V battery, what is the charge on the capacitor?
  • Step 1: Identify the capacitance of the capacitor, which is given as 4μF (microfarads).
  • Step 2: Identify the voltage of the battery, which is given as 12V (volts).
  • Step 3: Use the formula for charge on a capacitor, which is Q = C * V.
  • Step 4: Substitute the values into the formula: Q = 4μF * 12V.
  • Step 5: Calculate the charge: 4μF * 12V = 48μC (microcoulombs).
  • Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) is defined by the formula Q = C * V, where charge is measured in coulombs, capacitance in farads, and voltage in volts.
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