Five equal resistances each of resistance R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be

Question

Five equal resistances each of resistance R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be (A) (3V/R) (B) (V/R) (C) (V/2R) (D) (2V/R)

Tardigrade Admin · Accepted Answer

R text eq. of wheatstone bridge =R current in the circuit ⇒ V=I R ⇒ I=(V/R) current in one branch of the wheatstone bridge =( V /2 R )

Q. Five equal resistances each of resistance $R$ are connected as shown in the figure. A battery of $V$ volts is connected between $A$ and $B$ . The current flowing in $A FCEB$ will be

$\frac{3 V}{R}$

$\frac{V}{R}$

$\frac{V}{2 R}$

$\frac{2 V}{R}$

$R_{eq.}$ of wheatstone bridge $= R$
current in the circuit $\Rightarrow V = I R \Rightarrow I = \frac{V}{R}$
current in one branch of the wheatstone bridge $= \frac{V}{2 R}$

Q. Five equal resistances each of resistance R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be

R3V​

RV​

2RV​

R2V​