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How much energy is given to each coulombs of charge passing through a 6V battery ?
Question

How much energy is given to each coulombs of charge passing through a 6V battery ?

A.

4J

B.

5J

C.

6J

D.

8J

Correct option is C

The energy (EEE) provided to a charge (QQQ) by a battery is related to the voltage (VVV) of the battery using the formula:

E=V⋅QE = V \cdot QE=VQ

Where:

  • EEE = Energy (in joules),
  • VVV = Voltage (in volts),
  • QQQ = Charge (in coulombs).

Substituting the given values:

  • Voltage V=6VV = 6 \, \text{V}V=6V,
  • Charge Q=1CQ = 1 \, \text{C}Q=1C.

E=6⋅1=6JE = 6 \cdot 1 = 6 \, \text{J}E=61=6J

Thus, the energy given to each coulomb of charge is 6 joules.

Information Booster:

  1. Voltage is defined as the energy provided per unit charge.
  2. A 6V6 \, \text{V}6V battery means that every coulomb of charge passing through it gains 6 joules of energy.
  3. The formula E=V⋅QE = V \cdot QE=VQ applies universally, regardless of the charge's magnitude.

Key Concept:

  • Higher voltage batteries provide more energy per coulomb of charge, enabling more work to be done in a circuit.

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