The total length of the potentiometer wire AB | vedclass

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

Question

(B) The given circuit represents a Wheatstone bridge configuration where the galvanometer shows zero deflection at point $P$. This implies that the br

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) The given circuit represents a Wheatstone bridge configuration where the galvanometer shows zero deflection at point $P$. This implies that the bridge is balanced. For a balanced Wheatstone bridge, the ratio of resistances in the arms must be equal: $\frac{R_1}{R_2} = \frac{R_{AP}}{R_{PB}}$ Given $R_1 = 6 \ \Omega$ and $R_2 = 4 \ \Omega$. Let $L$ be the total length of the wire $AB = 50 	ext{ cm}$. Let $\ell_{AP} = x$ and $\ell_{PB} = 50 - x$. Since the resistance of the wire is proportional to its length $(R = ho \frac{\ell}{A})$, we have: $\frac{6}{4} = \frac{x}{50 - x}$ $\frac{3}{2} = \frac{x}{50 - x}$ $3(50 - x) = 2x$ $150 - 3x = 2x$ $5x = 150$ $x = 30 	ext{ cm}$. Therefore, the length $AP$ is $30 	ext{ cm}$.

The total length of the potentiometer wire $AB$ is $50 \text{ cm}$ in the arrangement as shown in the figure. If $P$ is the point where the galvanometer shows zero reading, then the length $AP$ is . . . . . . $\text{ cm}$.

Similar Questions

Determine the current in each branch of the network shown in Figure.

As the switch $S$ is closed in the circuit shown in the figure,the current passed through it is .................. $A$.

The current in the given circuit is ................ $A$.

The resistances in the Wheatstone bridge circuit shown in the diagram are all different,and the current through the galvanometer is zero. If all thermal effects are negligible,the current through the galvanometer will not be zero when:

The figure shows a portion of a circuit. What are the magnitude and direction of the current $i$ in the lower right-hand wire (in $A$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module