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Current Electricity

Question
CBSEENPH12047947

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 end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of

  

  • 10.2 ohm

  • 10.6 ohm

  • 10.8 ohm

  • 11.1 ohm

Solution

B.

10.6 ohm

Wheatstone bridge is an electrical circuit used to measure an unknown electrical resistance by balancing two legs of a bridge circuit, one leg of which includes the unknown component.

Applying the condition of balanced Wheatstone bridge,

we get 

      X10 Ω = 52 + 1 cm48 + 2 cm

              = 5350

       X = 10 Ω × 5350

      X = 10.6 Ω