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The terminal voltage of the battery, whose emf is 10 V and internal resistance 12, when connected through an external resistance of 40 as shown in the figure is ______.

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Question

The terminal voltage of the battery, whose emf is 10 V and internal resistance 12, when connected through an external resistance of 40 as shown in the figure is ______.

Options

  • 8 V

  • 10 V

  • 4 V

  • 6 V

MCQ
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Solution

The terminal voltage of the battery, whose emf is 10 V and internal resistance 12, when connected through an external resistance of 40 as shown in the figure is 8 V.

Explanation:

Given: EMF of the battery (E) = 10 V

Internal resistance (r) = 1 Ω

External resistance (R) = 1 Ω

Total current (I) = `E/(R + r)`

= `10/(4 + 1)`

= `10/5`

= 2 A

Terminal voltage (V) = I × R

= 2 × 4

= 8 V

∴ The terminal voltage of the battery is 8 V.

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