In a meter bridge experiment,the balance poin | vedclass

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

Question

(A) In a meter bridge,the balance condition is given by $\frac{P}{Q} = \frac{l}{100-l}$.Initially,$P = 2\,\Omega$ and $Q = 3\,\Omega$. Let the balance

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) In a meter bridge,the balance condition is given by $\frac{P}{Q} = \frac{l}{100-l}$.Initially,$P = 2\,\Omega$ and $Q = 3\,\Omega$. Let the balance length be $l_1$. Then $\frac{2}{3} = \frac{l_1}{100-l_1}$.Solving this,$200 - 2l_1 = 3l_1 \Rightarrow 5l_1 = 200 \Rightarrow l_1 = 40\,cm$.When a shunt $x\,\Omega$ is connected in parallel to $3\,\Omega$,the new resistance $Q'$ is $\frac{3x}{3+x}$.The new balance length $l_2 = l_1 + 22.5 = 40 + 22.5 = 62.5\,cm$.The new balance condition is $\frac{2}{Q'} = \frac{62.5}{100-62.5} = \frac{62.5}{37.5} = \frac{5}{3}$.Thus,$Q' = 2 	imes \frac{3}{5} = 1.2\,\Omega$.Equating the expressions for $Q'$,we get $\frac{3x}{3+x} = 1.2$.$3x = 1.2(3+x) \Rightarrow 3x = 3.6 + 1.2x \Rightarrow 1.8x = 3.6$.Therefore,$x = 2\,\Omega$.

In a meter bridge experiment,the balance point is obtained if the gaps are closed by $2\,\Omega$ and $3\,\Omega$ resistors. $A$ shunt of $x\,\Omega$ is added to the $3\,\Omega$ resistor to shift the balancing point by $22.5\,cm$. The value of $x$ is $................$

Similar Questions

In the meter bridge shown,the length $AB$ for which the deflection in the galvanometer is zero will be ............. $cm$.

In the meter bridge shown,the resistance $X$ has a negative temperature coefficient of resistance. Neglecting the variation in other resistors,when current is passed for some time in the circuit,the balance point should shift towards:

In a meter bridge experiment,to minimize an error due to contact resistance,

In a meter bridge,the null point is found at a distance of $25\, cm$ from $A$. If now a resistance of $10\,\Omega$ is connected in parallel with $S$,the null point occurs at the midpoint of $AB$. The value of $R$ is ................. $\Omega$. (in $.67$)

During an experiment with a meter bridge,the galvanometer shows a null point when the jockey is pressed at $40.0 \ cm$ using a standard resistance of $90 \ \Omega$,as shown in the figure. The least count of the scale used in the meter bridge is $1 \ mm$. The unknown resistance is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module