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AP EAMCET · PHYSICS · Current Electricity

A dc supply of 160 V is used to charge a battery of emf 10 V and internal resistance \(1 \Omega\) by connecting a series resistance of \(24 \Omega\). The terminal voltage of the battery during charging is

  1. A 8 V
  2. B 12 V
  3. C 16 V
  4. D 4 V
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Answer & Solution

Correct Answer

(C) 16 V

Step-by-step Solution

Detailed explanation

\(I = \frac{V_{supply} - E_{batt}}{R_{series} + r_{batt}}\) \(I = \frac{160 \, V - 10 \, V}{24 \, \Omega + 1 \, \Omega} = \frac{150 \, V}{25 \, \Omega} = 6 \, A\) \(V_{terminal} = E_{batt} + I \cdot r_{batt}\) \(V_{terminal} = 10 \, V + 6 \, A \cdot 1 \, \Omega = 16 \, V\)
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