Question

What is the sensitivity of a galvanometer with a resistance of 5.00×10^−5Ω on its 3.00-A scale and containing a 10.0-Ω galvanometer?

A) 3.00 × 10^−6 A/Ω
B) 3.00 × 10^−5 A/Ω
C) 3.00 × 10^−4 A/Ω
D) 3.00 × 10^−3 A/Ω

Answer 1

The question asks for the sensitivity of a galvanometer, which is none of the options provided as the correct sensitivity calculation results in 3.00 × 10^{-1} A/Ω.

Step-by-step explanation:

The sensitivity of a galvanometer is defined as the current that gives a full-scale deflection on the device. In this problem, we are dealing with an ammeter that has a given resistance on its scale and contains a galvanometer with known resistance. To calculate the sensitivity of the galvanometer, we must consider that the full-scale current (3.00 A in this case) is the maximum current that can pass through without causing damage to the instrument. The sensitivity S can be determined using the formula S = I_g / G, where I_g is the full-scale current and G is the resistance of the galvanometer.

In this scenario, the sensitivity is calculated as follows: S = 3.00 A / 10.0 Ω = 0.300 A/Ω, which can be expressed as 3.00 × 10^{-1} A/Ω. Therefore, none of the options provided (A, B, C, D) are correct.