question_answer

Three voltmeters A, B and C having resistances R, 1.5R and 3R, respectively are used in a circuit as shown when a potential difference is applied between X and Y, the reading of the voltmeters are  and Vg respectively then:

A) \[{{V}_{1}}={{V}_{2}}={{V}_{3}}\]             

B) \[{{V}_{1}}<{{V}_{2}}={{V}_{3}}\]

C) \[{{V}_{1}}>{{V}_{2}}>{{V}_{3}}\]             

D) \[{{V}_{1}}={{V}_{2}}={{V}_{3}}\]

Correct Answer: A

Solution :

[a] \[{{I}_{B}}=I\frac{3R}{3R+1.5R}=\frac{2I}{3}\] \[{{I}_{C}}=3R\frac{I}{3}=IR\] \[{{V}_{A}}={{I}_{R}}\] \[{{V}_{A}}={{V}_{B}}={{V}_{C}}\]