In a meter bridge, null point is at
, when the resistance S is shunted by
resistance the null point is found to be shifted by a distance of 18.2 cm. The value of unknown resistance R should be
Text Solution
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Step 1: Recall the meter bridge formula
For a meter bridge, the balance condition is:

Step 2: Define the problem
Initial balance without shunt:

After shunting
by
, the effective resistance becomes:

And the new null point is shifted by
, so:

Step 3: Apply balance condition after shunt


Step 4: Express
in terms of 

Also, from initial balance:


Step 5: Substitute
into shunt equation







Step 6: Find 

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