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NEETPhysicsCurrent Electricity

A storage battery of emf 8.0 V and internal resistance 0.5 is being charged by a 120 V DC external supply using a series resistor of 15.5 . What is the terminal voltage of the storage battery during charging?

Options

  1. A11.5 V
  2. B4.5 V
  3. C8.0 V
  4. D11.75 V

Correct answer

A. 11.5 V

Step-by-step solution

During the charging of a battery, the current flows into its positive terminal. The external supply opposes the battery's emf. Net emf in the circuit = 120 - 8 = 112 V Total resistance in the circuit = R + r = 15.5 + 0.5 = 16 The charging current I is given by Ohm's law for the complete circuit: I = Net emf Total resistance = 112 16 = 7 A For a battery being charged, the terminal voltage V is greater than its emf and is given by: V = E + Ir Substituting the values: V = 8.0 + (7 0.5) V = 8.0 + 3.5 = 11.5 V Answer: 1

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