A potentiometer wire AB is 100 cm long and has a total resistance of 10 ohm. If the galvanometer shows zero deflection at the position C, then value of unknown resistance R is 2N Ω, then N is.

A potentiometer wire AB is 100 cm long and has a total resistance of 10 ohm. If the galvanometer shows zero deflection at the position C, then value of unknown resistance R is 2N Ω, then N is.

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    Solution:

     Potential Gradient K=10100(cm) potential gradient =E0L WHERE  E0=10 voltAlso , VAC=5R+rR    Terminal potential difference=ERR+rK×40=5R+1RR=4Ω

    Thus, N = 2.

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