Two moving coil meters M_1 and M_2 have the f | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The voltage sensitivity $V_s$ of a moving coil galvanometer is given by the formula:$V_s = \frac{NAB}{kR}$where $N$ is the number of turns,$A$ is

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(D) The voltage sensitivity $V_s$ of a moving coil galvanometer is given by the formula:$V_s = \frac{NAB}{kR}$where $N$ is the number of turns,$A$ is the area,$B$ is the magnetic field,$k$ is the spring constant,and $R$ is the resistance.Given that the spring constants are identical $(k_1 = k_2 = k)$,the ratio of voltage sensitivity of $M_2$ to $M_1$ is:$\frac{V_{s2}}{V_{s1}} = \frac{N_2 B_2 A_2}{k R_2} 	imes \frac{k R_1}{N_1 B_1 A_1} = \frac{N_2 B_2 A_2 R_1}{N_1 B_1 A_1 R_2}$Substituting the given values:$\frac{V_{s2}}{V_{s1}} = \frac{42 	imes 0.50 	imes 1.8 	imes 10^{-3} 	imes 10}{30 	imes 0.25 	imes 3.6 	imes 10^{-3} 	imes 14}$$\frac{V_{s2}}{V_{s1}} = \frac{42 	imes 0.50 	imes 1.8 	imes 10}{30 	imes 0.25 	imes 3.6 	imes 14}$$\frac{V_{s2}}{V_{s1}} = \frac{378}{378} = 1$Thus,the ratio of the voltage sensitivity of $M_2$ and $M_1$ is $1$.

Similar Questions

$A$ galvanometer of resistance $100 \Omega$ gives full scale deflection for a current of $1 \text{ mA}$. It is converted into an ammeter of range $0 - 10 \text{ A}$. The shunt required is: (in $\text{ }\Omega$)

$A$ galvanometer coil has a resistance of $12\,\Omega$ and the meter shows full-scale deflection for a current of $3\,mA$. To convert it into a voltmeter of range $0-18\,V$,what resistance should be added and how?

$A$ galvanometer coil has a resistance of $50 \Omega$ and the meter shows full scale deflection for a current of $5 \text{ mA}$. This galvanometer is converted into a voltmeter of range $0-20 \text{ V}$ by connecting:

$A$ galvanometer of $25 \,\Omega$ resistance can read a maximum current of $6 \,mA$. It can be used as a voltmeter to measure a maximum of $6 \,V$ by connecting a resistance to the galvanometer. Identify the correct choice in the given answers.

Vedclass Test Series

Exam Paper Generator

Online Exam Module