The equivalent resistance between the points | vedclass

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

Question

(C) The circuit is a Wheatstone bridge-like structure. Due to symmetry,the potential at the center point is the same as the potential at the midpoint

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(C) The circuit is a Wheatstone bridge-like structure. Due to symmetry,the potential at the center point is the same as the potential at the midpoint of the diagonals. However,a simpler way to solve this is by using the symmetry of the circuit.Let the points be $A, B, C, D$. The resistance between $A$ and $B$ is to be found.By symmetry,the circuit can be simplified. The resistors connected to the center point can be treated as parallel branches.Alternatively,using the symmetry of the circuit,the equivalent resistance $R_{eq}$ between $A$ and $B$ is given by the parallel combination of the paths.For this specific symmetric circuit with all resistors equal to $R = 15 \Omega$,the equivalent resistance between any two adjacent corners is $R_{eq} = \frac{2}{3}R$.$R_{eq} = \frac{2}{3} 	imes 15 \Omega = 10 \Omega$.

The equivalent resistance between the points $A$ and $B$ will be (each resistance is $15 \Omega$): (in $\Omega$)

Similar Questions

Five identical resistors, each of resistance $R = 1500 \Omega$, are connected to a $300 \text{ V}$ battery as shown in the circuit. The reading of the ideal ammeter $A$ is: (in $\text{ A}$)

The figure shows a network of resistances and cells in which the point $A$ is earthed. The point which has the least potential is

In the given circuit,the $5\, \Omega$ resistor dissipates $45\, J/s$ of heat due to the current flowing through it. The power dissipated per second in the $12\, \Omega$ resistor will be .............. $W$.

In the circuit shown,the potential difference between $X$ and $Y$ will be ............. $V$.

$A$ constant voltage is applied between the two ends of a uniform metallic wire. Some heat is developed in it. The heat developed is doubled if

Vedclass Test Series

Exam Paper Generator

Online Exam Module