Question

The deflection in a moving coil galvanometer is reduced to half when it is shunted with 'X' `Omega` coil. The relation between 'X' and resistance of galvanometer 'G' is ______.

Options

• X = 2G

• X = G

• 4X = G

• 2X = G

Answer 1

The deflection in a moving coil galvanometer is reduced to half when it is shunted with 'X' `Omega` coil. The relation between 'X' and resistance of galvanometer 'G' is X = G. 

Explanation:

I_G . G = I_X .X

The total current gets equally divided between the galvanometer and the shunt.

` therefore "I"_"G" . "G" = "I"_"X"  therefore "G" = "X"`