The reading of the ammeter in amperes for the | vedclass

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

Question

(A) The circuit is a balanced Wheatstone bridge. Let the nodes be labeled. The central resistor of $6 \ \Omega$ is connected between the two middle po

Vedclass · Accepted Answer

$0.33$

Vedclass · Answer

(A) The circuit is a balanced Wheatstone bridge. Let the nodes be labeled. The central resistor of $6 \ \Omega$ is connected between the two middle points. Due to the symmetry of the circuit,the potential difference across the central $6 \ \Omega$ resistor is zero,so no current flows through it.Thus,the circuit simplifies to two parallel branches,each consisting of two $6 \ \Omega$ resistors in series.Resistance of the upper branch = $6 \ \Omega + 6 \ \Omega = 12 \ \Omega$.Resistance of the lower branch = $6 \ \Omega + 6 \ \Omega = 12 \ \Omega$.These two branches are in parallel,so the equivalent resistance $R_{eq}$ is:$1/R_{eq} = 1/12 + 1/12 = 2/12 = 1/6 \ \Omega^{-1} \Rightarrow R_{eq} = 6 \ \Omega$.The total current $i$ drawn from the $2 \ V$ battery is:$i = V / R_{eq} = 2 \ V / 6 \ \Omega = 1/3 \ A \approx 0.33 \ A$.The ammeter is placed in the main circuit,so it measures the total current $i = 0.33 \ A$.

The reading of the ammeter in amperes for the following circuit is:

Similar Questions

The effective resistance between $A$ and $B$ is ........... $\Omega$.

The value of current through the $5 \Omega$ resistor of the given circuit is

As shown in the figure, for the balanced condition of the Wheatstone bridge, the value of $n$ is . . . . . .

The figure shows a network of four resistances and three batteries. Mark the incorrect statement.

What is the value of the current flowing through the galvanometer in the balanced condition of a Wheatstone bridge?

Vedclass Test Series

Exam Paper Generator

Online Exam Module