A, B and C arc voltmeters of resistance R, 1.5R and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are `V_(A) , V_(B) and V_(C)` repsectively. Then :

Options

A. `V_(A) = V_(B) = V_(C) `
B. `V_(A) ne V_(B) = V_(C)`
C. `V_(A) = V_(B) ne V_(C)`
D. `V_(A) ne V_(B) ne V_(C)`

Answer

A

Explanation

`V_(A) = V_(B) = V_(C)`
Equivalent capacitance between B and C
` = (1.5R xx 3R)/(1.5R + 3R)`
`= (4.5 R)/(4.5) = R `

Potential in series connection, V `prop ` R
`therefore ` Voltage in A = Voltage in B and C
As B and C are in parallel, so that `V_(B) = V_(C)`
`therefore V_(A) = V_(B)= V_(C)`