Home Physics Magnetism and Matter JEE Main 2025 - ( Magnetic Effects of Current ) In a moving coil galvanometer, two moving co…
Physics Magnetism and Matter JEE Main 2025 - ( Magnetic Effects of Current ) MCQ (Single Correct)

In a moving coil galvanometer, two moving coils and have the following particulars:

Assuming that torsional constant of the springs are same for both coils, what will be the ratio of voltage sensitivity of and ?

A
1 : 1
B
1 : 3
C
1 : 2
D
1 : 4

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Text Solution

Verified by Experts
The correct answer is:
A

In a moving coil galvanometer, the voltage sensitivity is given by the formula:

Voltage sensitivity
Here, is the deflection angle, is the voltage, is the number of turns, is the coil area, is the magnetic field, is the torsional constant of the spring, and is the resistance of the coil.

For the two moving coils and , we want to determine the ratio of their voltage sensitivities. Given that the torsional constant is the same for both coils, we can express the ratio as:

We calculate:

Thus, the ratio of the voltage sensitivities of to is .

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