1. Tardigrade
  2. Question
  3. Physics
  4. Two moving coil galvanometers X and Y are connected in series and a current passes through them. Their readings are found to be full scale for X and half scale for Y. Given that their scales are identical and their restoring springs of same strength, but that X 's coil is twice as large in area and has twice the number of turns compared with Y 's coils. Calculate the ratio of magnetic field strength of X 's magnet to that of Y 's magnet.

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Q. Two moving coil galvanometers $X$ and $Y$ are connected in series and a current passes through them. Their readings are found to be full scale for $X$ and half scale for $Y$. Given that their scales are identical and their restoring springs of same strength, but that $X$ 's coil is twice as large in area and has twice the number of turns compared with $Y$ 's coils. Calculate the ratio of magnetic field strength of $X$ 's magnet to that of $Y$ 's magnet.

Moving Charges and Magnetism

Solution:

Current sensitivity, $C=B A N K$
$I=$ Same, $K=$ Same
so, $ B \propto \frac{C}{A N}$