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Find the potential difference between a and b , as shown in the below circuit.

Options

  1. A165   V
  2. B198   V
  3. C213   V
  4. D224   V

Correct answer

C. 213   V

Step-by-step solution

Equivalent for parallel combination of 5   Ω   &   15   Ω is R eq 1 = 15 × 5 15 + 5 = 15 4   Ω Similarly for three parallel resistor's equivalent 1 R eq   2 = 1 24 + 1 12 + 1 8     ⇒     R eq   2 = 4   Ω Now current through 45   V branch, I = 45 R eq   1 = 45 15 / 4 = 12   A Voltage across a   &   b is V = R eq × I = 4 + 10 + 15 4 × 12 = 213   V

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