Back to Directory
NEET PHYSICSEasy

A millivoltmeter of 25 mV25 \text{ mV} range is to be converted into an ammeter of 25 A25 \text{ A} range. The value (in ohm) of necessary shunt will be:

A

0.001

B

0.01

C

1

D

0.05

Step-by-Step Solution

According to the sources, a galvanometer or millivoltmeter can be converted into an ammeter by connecting a low resistance called a shunt (rsr_s) in parallel . The shunt resistance is calculated using the relation rs=IgRgIIgr_s = \frac{I_g R_g}{I - I_g}, where IgRgI_g R_g is the potential difference across the instrument for full-scale deflection (VgV_g), II is the total current to be measured, and IgI_g is the current through the instrument . In this problem, Vg=25 mV=25×103 VV_g = 25 \text{ mV} = 25 \times 10^{-3} \text{ V} and the desired range I=25 AI = 25 \text{ A}. Since the current through the millivoltmeter (IgI_g) is typically negligible compared to the total current (II), the formula can be approximated as rsVg/Ir_s \approx V_g / I. Substituting the values: rs=(25×103 V)/25 A=103Ω=0.001Ωr_s = (25 \times 10^{-3} \text{ V}) / 25 \text{ A} = 10^{-3} \, \Omega = 0.001 \, \Omega.

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started