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

Four resistors $A, B, C$ and $D$ form a Wheatstone bridge. The bridge is balanced when $C = 100 \ \Omega$. If $A$ and $B$ are interchanged,the bridge balances for $C = 121 \ \Omega$. The value of $D$ is: (in $Omega$)

The current flowing through the circuit shown in the figure is ............ $A$.

If the resistances are chosen for the circuit shown in the figure in such a way that no current flows through the battery with emf $E_1 = 2 \ V$,the voltage $V_2$ across $R_2$ and the current $I_3$ flowing through $R_3$ are respectively,

In the given electrical circuit,which one of the following equations is correct?

When is a Wheatstone bridge said to be in a balanced condition?

Vedclass Test Series

Exam Paper Generator

Online Exam Module