Consider the following statement regarding the network shown in the figure.

(1)The equivalent resistance of the network between points A and B independent of value of G.
(2)The equivalent resistance of the network between points A and B is `(4)/(3)R`.
(3)The current through G is zero.Which of the above statements is/are true?

Options

A. (1)alone
B. (2)alone
C. (2) and (3)
D. (1),(2) and (3)

Answer

D

Explanation

`As(R)/(R )=(2R)/(2R)`.hence the given network ,no a balanced Wheatstone bridge.Therefore ,no current flows through G,So equivalent circuit diagram as shown in the figure.

Hence ,the equivalent resistance of the network between points A and B is
`R_(eq)=((2R)(4R))/(2R+4R)=(4)/(3)R`