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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Current in Conductors

Determine the potential difference V_a - V_b for the electrical circuits presented in the figure.

Options

  1. AE ₁ R₂ + E ₂ R₁ R₁ + R₂ + R₃
  2. BE ₁ R₁ + E ₂ R₂ 1 R₁ + 1 R₂
  3. CE ₁ R₁ - E ₂ R₂ 1 R₁ + 1 R₂ + 1 R₃
  4. DE ₁ R₁ + E ₂ R₂ 1 R₁ + 1 R₂ + 1 R₃

Correct answer

D. E ₁ R₁ + E ₂ R₂ 1 R₁ + 1 R₂ + 1 R₃

Step-by-step solution

Let the potential at node b be V_b = 0 . The potential difference to be found is V_a - V_b = V_a . Both circuits (a) and (b) consist of three parallel branches connected between nodes a and b. The first branch contains a battery E ₁ and a resistor R₁ , with the positive terminal of E ₁ connected to node a. The second branch contains only a resistor R₃ . The third branch contains a battery E ₂ and a resistor R₂ , with the positive terminal of E ₂ connected to node a. Applying Kirchhoff's Current Law at node a, the s

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