The current drawn from the battery in the giv | vedclass

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

Question

(C) The given circuit can be redrawn as a Wheatstone bridge as shown in the figure.Let the resistors be $R_1 = 6 \ \Omega$,$R_2 = 6 \ \Omega$,$R_3 = 4

Vedclass · Accepted Answer

$2.4$

Vedclass · Answer

(C) The given circuit can be redrawn as a Wheatstone bridge as shown in the figure.Let the resistors be $R_1 = 6 \ \Omega$,$R_2 = 6 \ \Omega$,$R_3 = 4 \ \Omega$,$R_4 = 4 \ \Omega$,and the central resistor $R_5 = 10 \ \Omega$.The condition for a balanced Wheatstone bridge is $\frac{R_1}{R_3} = \frac{R_2}{R_4}$.Here,$\frac{6}{4} = 1.5$ and $\frac{6}{4} = 1.5$.Since $\frac{R_1}{R_3} = \frac{R_2}{R_4}$,the bridge is balanced,and no current flows through the $10 \ \Omega$ resistor.Thus,the circuit simplifies to two parallel branches,each containing two resistors in series.The upper branch has resistance $R_{up} = 6 \ \Omega + 4 \ \Omega = 10 \ \Omega$.The lower branch has resistance $R_{low} = 6 \ \Omega + 4 \ \Omega = 10 \ \Omega$.The equivalent resistance $R_{eq}$ of the circuit is given by $\frac{1}{R_{eq}} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5}$.Therefore,$R_{eq} = 5 \ \Omega$.The current drawn from the battery is $I = \frac{V}{R_{eq}} = \frac{12 \ V}{5 \ \Omega} = 2.4 \ A$.

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible). (in $A$)

Similar Questions

The current from the cell for the given circuit is ................ $A$.

The figure shows a circuit diagram of a 'Wheatstone Bridge' to measure the resistance $G$ of the galvanometer. The relation $\frac{P}{Q} = \frac{R}{G}$ will be satisfied only when

The electric current $i$ in the circuit shown is (in $\text{ A}$)

The current in the $1\Omega$ resistor in the following circuit is (in $A$)

Why is the circuit configuration known as a Wheatstone bridge?

Vedclass Test Series

Exam Paper Generator

Online Exam Module