Five resistors of given values are connected | vedclass

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(B) The given circuit is a Wheatstone bridge. In a Wheatstone bridge,if the ratio of resistances in opposite arms is equal,the bridge is balanced. Her

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Zero

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(B) The given circuit is a Wheatstone bridge. In a Wheatstone bridge,if the ratio of resistances in opposite arms is equal,the bridge is balanced. Here,the resistances are $R_{AB} = R$,$R_{BC} = R$,$R_{AD} = R$,and $R_{DC} = R$. Since $\frac{R_{AB}}{R_{AD}} = \frac{R}{R} = 1$ and $\frac{R_{BC}}{R_{DC}} = \frac{R}{R} = 1$,the ratio is equal. Therefore,the potential at point $B$ is equal to the potential at point $D$ $(V_B = V_D)$. Since there is no potential difference between $B$ and $D$,no current flows through the resistor $4R$ connected in the arm $BD$. Thus,the current in the arm $BD$ is $0$.

Five resistors of given values are connected together as shown in the figure. The current in the arm $BD$ will be

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