In an experiment to determine the figure of merit of a galvanometer using the half deflection method, a student set up a specific circuit. Here's a representation of that setup:
During the experiment, the student initially removed a resistance of
5200Ω at point
R. When switch
K1 was closed and
K2 remained open, the galvanometer showed a deflection of 26 divisions. With both
K1 and
K2 closed and a resistance of
90Ω removed at S , the galvanometer's deflection adjusted to 13 divisions.
To find the resistance of the galvanometer (G), we use the formula:
G=‌Substituting the values into the formula:
G=‌This simplifies to:
G=90Ω≈91.6ΩThus, the approximate resistance of the galvanometer is
91.6Ω.