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TS EAMCET · Physics · Current Electricity

\(6 \Omega\) and \(12 \Omega\) resistors are connected in parallel. This combination is connected in series with a \(10 \mathrm{~V}\) battery and \(6 \Omega\) resistor. What is the potential difference between the terminals of the \(12 \Omega\) resistor?

  1. A \(4 \mathrm{~V}\)
  2. B \(16 \mathrm{~V}\)
  3. C \(2 \mathrm{~V}\)
  4. D \(8 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(4 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\(R=\frac{6 \times 12}{6+12}=\frac{6 \times 12}{18}=4 \Omega\) Total resistance, \(R_{\mathrm{eq}}=6+4=10 \Omega\) Current, \(\quad i=\frac{V}{R}=\frac{10}{10}=1 \mathrm{~A}\) The current in \(12 \Omega\) resistor is…