A resistance wire connected in a meter bridge’s left gap balances 10 ohm resistance in right gap, dividing the bridge wire by 3:2. Assuming length of resistance wire 1.5m, determine length of 1 ohm of the resistance wire?

Meter bridge is often also known as a slide wire bridge, which is an instrument that operates on the principle of the Wheatstone bridge. A meter bridge is used in determining a conductor’s unknown resistance as that of a Wheatstone Bridge.

Solution

As per the given question,
The bridge wire is divided in the ratio, R:S = 3:2
And, S = 10Ω

Thus, the ratio can also be depicted as,

⇒ \({{R} \over S} = {{3} \over 2}\)

Hence, R = \({{3} \over 2}\) \(\times\) 10Ω = 5

Thus, the length of 1 Ω wire according to the condition given above can be represented as,

⇒ l = \({{1.5} \over 1.5}\)

⇒ l = \({{1} \over 10}\)

= 0.1 m 

= 1.0 \(\times\) 10^-1m

Thus, the length of the wire by the given condition is 1.0 x 10^-1m.

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Related Questions

1. Can you find very high resistance accurately with the help of a Metre bridge?
2. Meter bridge works on the principle of?
3. Meter Bridge or Slide Wire Bridge is a practical form of?
4. Why Carey Foster Bridge Is So Sensitive?
5. How do you solve an unbalanced bridge?
6. Why should we get the null point in the middle of the Metre bridge wire?
7. What is Null Voltage?

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