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In the given network of ideal cells and resistors, R 1 = 1 . 0 Ω , R 2 = 2 . 0 Ω , E 1 = 2 V and E 2 = E 3 = 4 V . The potential difference between the point a and b is

Options

  1. A8 3   V
  2. B10 3   V
  3. C9 4   V
  4. D13 4   V

Correct answer

B. 10 3   V

Step-by-step solution

The equivalent emf of the combination can be calculated by applying the parallel combination of batteries V ab = ε eq = ε 1 r 1 + ε 2 r 2 + ε 3 r 3 1 r 1 + 1 r 2 + 1 r 3 ⇒ V ab = ε eq = 2 2 + 4 2 + 4 2 1 2 + 1 2 + 1 2 ⇒ V ab = ε eq = 10 3   V

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