Q.
A galvanometer having a coil of resistance $30\,\Omega$ need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be $\frac{30}X\,\Omega$, where $X$ is
A) 596
B) 149
C) 298
D) 447
Explanation
[Solution by Dr. Abubacker] $S=\frac{I_gG}{I-I_g}=\frac{0.02\times30}{3-0.02}=\frac{0.6}{2.98}=\frac{30}{149}\,\Omega$, so $X=149$. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.