Question

The resistance of each arm of the wheatstone bridge is 10 ohm. a resistance of 10 ohm is connected in series with a galvanometer then the equivalent resistance across the battery will be

Answer 1

the equivalent is 10 ohm. ..... ......

Answer 2

The equivalent resistance across the battery will be 10Ω.

Explanation:

Given: The resistance of each arm is 10Ω.

To find: Equivalent resistance across the battery

Solution:

From the below figure,

P = Q = R = S

The resistance of each arm of the wheatstone bridge is 10 ohm

Therefore,

P = Q = R =S = 10Ω.

Since, $\frac{P}{Q} = \frac{S}{R} = 1$

It is a balanced wheat stone bridge.

Balanced wheat stone bridge:

When no current passes through the galvanometer, the Wheatstone bridge is said to be in balanced condition. The known resistance and variable resistance can be adjusted to reach this condition.

According to the balanced wheatstone bridge condition, No current pass through the galvanometer in the given figure.

Therefore all arm resistances are equal so its equivalent resistance is also 10Ω.

Final answer:

The equivalent resistance across the battery will be 10Ω.

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