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TS EAMCET · Physics · Current Electricity

When a battery connected across a resistor of \(16 \Omega\), the voltage across the resistor is \(12 \mathrm{~V}\). When the same battery is connected across a resistor of \(10 \Omega\), voltage across it is \(11 \mathrm{~V}\). The internal resistance of the battery in ohm is

  1. A \(\frac{10}{7}\)
  2. B \(\frac{20}{7}\)
  3. C \(\frac{25}{7}\)
  4. D \(\frac{30}{7}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{20}{7}\)

Step-by-step Solution

Detailed explanation

\[ \begin{array}{ll} \text { Here, } & V < E \\ \therefore & E=V+I r \end{array} \] For first case \[ E=12+\frac{12}{16} r \] For second case \[ E=11+\frac{11}{10} r \] From Eqs. (i) and (ii),…
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