Five equal resistances each of resistance R a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The circuit can be simplified by observing the symmetry. The points $C$ and $D$ are at the same potential due to the balanced Wheatstone bridge st

Vedclass · Accepted Answer

$\frac{V}{2R}$

Vedclass · Answer

(B) The circuit can be simplified by observing the symmetry. The points $C$ and $D$ are at the same potential due to the balanced Wheatstone bridge structure formed by the resistors. Thus,the resistor between $C$ and $D$ carries no current and can be removed. The circuit effectively becomes two parallel branches connected between $A$ and $B$. One branch consists of resistors $R_{FC}$ and $R_{CE}$ in series,with total resistance $R + R = 2R$. The other branch consists of resistors $R_{FD}$ and $R_{DE}$ in series,with total resistance $R + R = 2R$. The equivalent resistance $R_{	ext{eq}}$ of the circuit is $\frac{1}{R_{	ext{eq}}} = \frac{1}{2R} + \frac{1}{2R} = \frac{2}{2R} = \frac{1}{R}$,so $R_{	ext{eq}} = R$. The total current from the battery is $I = \frac{V}{R_{	ext{eq}}} = \frac{V}{R}$. Since the two parallel branches have equal resistance $2R$,the current divides equally. Therefore,the current flowing in the branch $AFCEB$ is $I' = \frac{I}{2} = \frac{V}{2R}$.

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

Similar Questions

All wires have the same resistance $r$. The equivalent resistance between $A$ and $B$ is $R$. Now,if the keys $K_1$ and $K_2$ are closed,what will be the new equivalent resistance?

It takes $15 \ min$ to heat water in an electric kettle. If the length of the heating coil is reduced to $2/3$ of its original length,how many minutes will it take to heat the same amount of water?

The equivalent resistance between the points $A$ and $B$ is (in $\Omega$):

Find the equivalent resistance between points $A$ and $B$ in the network of resistors,each of resistance $r \Omega$.

In the circuit shown in the figure,the potential difference between points $A$ and $B$ is $16\,V$. The current passing through the $2\,\Omega$ resistance will be $...........\,A$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module