Meter Bridge

Explain the principle of working of a meter bridge. Draw the circuit diagram for determination of an unknown resistance using it.

In the following figure, a balanced meter bridge is shown. If the resistance of the wire of meter bridge is $1\mathrm{\Omega }/\mathrm{m}$, then find the value of resistance X and the current passing through the resistance X.

Two coils are connected in series in one gap of a meterbridge and the null point is obtained in the middle of the wire by putting $75\mathrm{\Omega }$ in the other gap. Two coils are then connected in parallel and the null point is obtained again in the middle of the wire , the resistance in the other gap is changed by $57\mathrm{\Omega }$. Find the resistance of each coil.

With an unknown resistance $\mathrm{X}$ in the left gap and a resistance of $30\mathrm{\Omega }$ in the right gap of meter-bridge the null point is obtained at $40 \mathrm{cm}$ from the left end of the wire. Find $\left(\mathrm{i}\right)$ the unknown resistance and $\left(\mathrm{ii}\right)$ the shift in the position of the null point  

(a) when the resistance in both the gaps are increased by $15\mathrm{\Omega }$ and

(b) when the resistance in each gap is shunted by a resistance of $8\mathrm{\Omega }$

What is the value of unknown resistance $R$, if galvanometer shows null deflection in the given meter bridge set up?

What happens to the balance point, When a metal conductor connected to left gap of a meter bridge is heated:

A resistance of 2 $\mathrm{\Omega }$is connected across one gap of a meter-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 $\mathrm{\Omega }$, is connected across the other gap. When these resistances are interchanged, the balance point shifts by 20 cm. Neglecting any end corrections, the unknown resistance is

If the wire in the experiment to determine the resistivity of a material using metre bridge is replaced by copper or hollow wire the balance point i.e. null point shifts to

Meter bridge works on the principle of

To calculate an unknown resistance with the help of a metre bridge why is it advised to change the gap with the known and unknown resistance?

In a metre bridge, the gaps are enclosed by resistances of $2 \mathrm{\Omega }$ and $3 \mathrm{\Omega }$ . The value of shunt to be added to $3 \mathrm{\Omega }$ resistor to shift the balancing point by $22.5 \mathrm{cm}$ is

In the metre bridge experiment shown in the figure, the balance length $AC$ corresponding to null deflection of the galvanometer is $X$. What would be the balance length, if the radius of the wire $AB$ is doubled?

In the shown arrangement of the experiment of a metrebridge, if $AC$, corresponding to null deflection of galvanometer, is $x$, what would be its value, if the radius of the wire $AB$ is doubled?