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  • Three voltmeters A, B and C, having resistances R, 1.5R and 3R, respectively, are connected as shown. When some potential difference is applied between <img alt="X" src="https://entrancecorner.onco

Three voltmeters A, B and C, having resistances R, 1.5R and 3R, respectively, are connected as shown. When some potential difference is applied between X and Y the voltmeter readings are V_A, V_B and V_c respectively. Then,

 

Option: 1

V_A \neq V_B=V_C


Option: 2

V_A=V_B \neq V_C


Option: 3

V_B \neq V_A=V_C


Option: 4

V_A=V_B=V_C


Answers (1)

best_answer

The division of current I into the two parallel branches will be as shown,

\therefore \quad V_{\mathrm{A}}=I R

V_{\mathrm{B}}=\left(\frac{2 I}{3}\right) 1.5 R=I R

V_{\mathrm{C}}=\left(\frac{I}{3}\right) 3 R=I R

\therefore \quad V_{\mathrm{A}}=V_{\mathrm{B}}=V_{\mathrm{C}}

Hence, (d) is correct

Posted by

Ritika Kankaria

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