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Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B , their readings are V 1 , V 2 and V 3 . Choose the correct option.

Options

  1. AV 1 = V 2
  2. BV 1 ≠ V 3 - V 2
  3. CV 1 + V 2 > V 3
  4. DV 1 + V 2 = V 3

Correct answer

D. V 1 + V 2 = V 3

Step-by-step solution

Let's consider the following diagram: According to the Kirchhoff's voltage law, the algebraic sum of the voltages in a closed loop is zero. From the above figure, it can be written that V 1 + V 2 - V 3 = 0 ⇒ V 1 + V 2 = V 3

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