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A capacitor is charged to a voltage of 15 V and then disconnected from the batte

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Question: A capacitor is charged to a voltage of 15 V and then disconnected from the battery. If the capacitance is 3 µF, what is the charge on the capacitor?

Options:

  1. 45 µC
  2. 30 µC
  3. 15 µC
  4. 60 µC

Correct Answer: 45 µC

Solution:

Charge (Q) is given by Q = CV. Here, Q = 3 µF * 15 V = 45 µC.

A capacitor is charged to a voltage of 15 V and then disconnected from the batte

Practice Questions

Q1
A capacitor is charged to a voltage of 15 V and then disconnected from the battery. If the capacitance is 3 µF, what is the charge on the capacitor?
  1. 45 µC
  2. 30 µC
  3. 15 µC
  4. 60 µC

Questions & Step-by-Step Solutions

A capacitor is charged to a voltage of 15 V and then disconnected from the battery. If the capacitance is 3 µF, what is the charge on the capacitor?
  • Step 1: Understand that a capacitor stores electrical charge.
  • Step 2: Know the formula for charge (Q) on a capacitor, which is Q = C * V.
  • Step 3: Identify the values given: capacitance (C) is 3 µF (microfarads) and voltage (V) is 15 V.
  • Step 4: Convert the capacitance from microfarads to farads: 3 µF = 3 x 10^-6 F.
  • Step 5: Plug the values into the formula: Q = (3 x 10^-6 F) * (15 V).
  • Step 6: Calculate the charge: Q = 45 x 10^-6 C, which is 45 µC.
  • Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) is given by the formula Q = CV, where Q is the charge in coulombs, C is the capacitance in farads, and V is the voltage in volts.
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