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A circular loop has a resistance of 60 Ω. Two points on the loop, one-quarter of the circumference apart are connected to a 24 V battery, having an internal resistance of 0.75 Ω. -

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Question

A circular loop has a resistance of 60 Ω. Two points on the loop, one-quarter of the circumference apart are connected to a 24 V battery, having an internal resistance of 0.75 Ω. The current through the battery is ______.

Options

  • 0.5 A

  • 1 A

  • 2 A

  • 3 A

MCQ
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Solution

A circular loop has a resistance of 60 Ω. Two points on the loop, one-quarter of the circumference apart are connected to a 24 V battery, having an internal resistance of 0.75 Ω. The current through the battery is 2 A.

Explanation:

Xp = 15 Ω || 45 Ω

= `(15 xx 45)/(15 + 45)`

= `45/4`

= 11.25 Ω

∴ I = `V/(X_p + r)`

= `24/(11.25 + 0.75)`

= 2 A

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