Question

In a metre bridge shown in the circuit diagram, the balance point is found to be at 40 cm from the end A when the resistor Y is of value 20 ohms. calculate the value of balancing length on the same wire if X and Y are interchanged,​

Answer 1

The value of balancing length on the same wire if X and Y are interchanged is 60 cm.

Explanation:

• Distance of jockey from end A at the balance point I = 40
• Standard known resistance  S = Y = 20 Ω
• We have to determine the unknown resistance = R = X

Using the relation we get:

S = 100 - I / I x R

20 = 100 - 40 / 40 x X

X = 20 x 40 / 60 = 13.33 Ω

Thus the resistance is 13.3 Ω

If X and Y are interchanged, then lengths are also interchanged.

Therefore length modifies to

l = 100 - 40  = 60 cm

Thus the value of balancing length on the same wire if X and Y are interchanged is 60 cm.

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