Five equal resistances each of resistance $R$ are connected as shown in the figure. A battery of $V$

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 $A F C E B$ will be\

Professor PC Thomas Classes · Answer

(c) : Equivalent circuit of given circuit is shown in figure (i).\ Also this is equivalent to a balanced Wheatstone bridge $C$ and $D$ are at equal potential, no current will flow in this resistance therefore this resistance can be neglected.\ Thus equivalent resistance of this remaining circuit shown in figure (ii) is $R$.\ Then current in AFCEB branch is\ $i_{1}=\frac{V}{R} 	imes \frac{2 R}{2 R+2 R}=\frac{V}{2 R}$\ Figure(ii)\