In circuit shown, a meter bridge is in its balanced state. meter bridge wire has a resistance 0.1, o

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3.Current Electricity

medium

In the circuit shown, a meter bridge is in its balanced state. The meter bridge wire has a resistance $0.1\, ohm/cm$. The value of unknown resistance $X$ and the current drawn from the battery of negligible resistance is

$6 \,\Omega$, $5\, amp$

$10 \,\Omega$, $0.1\, amp$

$4 \,\Omega$, $1.0 \,amp$

$12 \,\Omega$, $0.5\, amp$

Solution

(c) Resistance of the part $AC$
${R_{AC}} = 0.1 \times 40 = 4\,\Omega $ and ${R_{CB}} = 0.1 \times 60 = 6\,\Omega $
In balanced condition $\frac{X}{6} = \frac{4}{6} \Rightarrow X = 4\,\Omega $
Equivalent resistance ${R_{eq}} = 5\,\Omega $ so current drawn from battery $i = \frac{5}{5} = 1\,A$.

Standard 12

Physics

In a meter bridge, the wire of length $1\, m$ has a nonuniform cross-section such that, the variation $\frac{{dR}}{{d\ell }}$ of its resistance $R$ with length $\ell $ is $\frac{{dR}}{{d\ell }} \propto \frac{1}{{\sqrt \ell }}$ Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point $P$. What is the length $AP$ ? ……………. $m$

hard

(JEE MAIN-2019)

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

medium

(JEE MAIN-2023)

A meter bridge is set up as shown, to determine an unknown resistance ' $X$ ' using a standard $10\,ohm$ resistor. The galvanometer shows null point when tapping-key is at $52\,cm$ mark. The endcorrections are $1\,cm$ and $2\,cm$ respectively for the ends $A$ and $B$. The determined value of ' $X$ ' is $……….\Omega$

easy

A wheatstone bridge is used to determine the value of unknown resistance $X$ by adjusting the variable resistance $Y$ as shown in the figure. For the most precise measurement of $X$, the resistances $P$ and $Q$:

medium

(NEET-2022)

If null point of meter bridge is obtained at $50$ $\mathrm{cm}$ what will be value of unknown resistor ?

medium

In the circuit shown, a meter bridge is in its balanced state. The meter bridge wire has a resistance $0.1\, ohm/cm$. The value of unknown resistance $X$ and the current drawn from the battery of negligible resistance is

Solution

Similar Questions

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

A wheatstone bridge is used to determine the value of unknown resistance $X$ by adjusting the variable resistance $Y$ as shown in the figure. For the most precise measurement of $X$, the resistances $P$ and $Q$:

If null point of meter bridge is obtained at $50$ $\mathrm{cm}$ what will be value of unknown resistor ?

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