Five resistances are connected as shown in th | vedclass

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

Question

(A) The circuit is a bridge circuit. Let the resistances be $R_1 = 2 \, \Omega$,$R_2 = 3 \, \Omega$,$R_3 = 4 \, \Omega$,$R_4 = 6 \, \Omega$,and the ce

Vedclass · Accepted Answer

$10/3 \, \Omega$

Vedclass · Answer

(A) The circuit is a bridge circuit. Let the resistances be $R_1 = 2 \, \Omega$,$R_2 = 3 \, \Omega$,$R_3 = 4 \, \Omega$,$R_4 = 6 \, \Omega$,and the central resistance $R_5 = 7 \, \Omega$.Check the ratio of resistances: $R_1/R_3 = 2/4 = 1/2$ and $R_2/R_4 = 3/6 = 1/2$.Since $R_1/R_3 = R_2/R_4$,the bridge is balanced.In a balanced Wheatstone bridge,no current flows through the central resistance $R_5$. Thus,it can be removed.The circuit simplifies to two parallel branches: the upper branch with $R_1$ and $R_2$ in series,and the lower branch with $R_3$ and $R_4$ in series.Resistance of upper branch $R_{up} = R_1 + R_2 = 2 + 3 = 5 \, \Omega$.Resistance of lower branch $R_{low} = R_3 + R_4 = 4 + 6 = 10 \, \Omega$.Since these two branches are in parallel,the equivalent resistance $R_{AB}$ is given by:$1/R_{AB} = 1/R_{up} + 1/R_{low} = 1/5 + 1/10 = (2+1)/10 = 3/10$.Therefore,$R_{AB} = 10/3 \, \Omega$.

Five resistances are connected as shown in the figure. The effective resistance between the points $A$ and $B$ is

Similar Questions

When the resistance $R$ (indicated in the figure below) is changed from $1 \, k\Omega$ to $10 \, k\Omega$,the current flowing through the resistance $R'$ does not change. What is the value of the resistor $R'$?

$ABCD$ is a square where each side is a uniform wire of resistance $1\,\Omega$. $A$ point $E$ lies on $CD$ such that if a uniform wire of resistance $1\,\Omega$ is connected across $AE$ and a constant potential difference is applied across $A$ and $C$,then $B$ and $E$ are equipotential.

In the given figure,all the batteries are ideal. Find the value of $i$ (in amperes).

In the given circuit,current $I$ is independent of the resistance $R_6$. Then

Twelve equal resistors,each of resistance $R$,are connected to form a skeleton cube. The equivalent resistance between two diagonally opposite corners is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module