For a moving coil galvanometer,the deflection | vedclass

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

Question

(B) The torque acting on the coil of a moving coil galvanometer is given by $	au = NiAB$,where $N$ is the number of turns,$i$ is the current,$A$ is t

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(B) The torque acting on the coil of a moving coil galvanometer is given by $	au = NiAB$,where $N$ is the number of turns,$i$ is the current,$A$ is the area,and $B$ is the magnetic field.The restoring torque provided by the suspension wire is $	au = K	heta$,where $K$ is the torsional constant and $	heta$ is the deflection.Equating the two torques: $NiAB = K	heta$.Rearranging for the area $A$: $A = \frac{K	heta}{NiB}$.Given values:$K = 4.0 	imes 10^{-5}\,Nm\,rad^{-1}$$	heta = 0.05\,rad$$N = 200$$i = 10\,mA = 10 	imes 10^{-3}\,A = 0.01\,A$$B = 0.01\,T$Substituting the values:$A = \frac{4.0 	imes 10^{-5} 	imes 0.05}{200 	imes 0.01 	imes 0.01}$$A = \frac{2.0 	imes 10^{-6}}{0.02} = 1.0 	imes 10^{-4}\,m^2$.Since $1\,m^2 = 10^4\,cm^2$,we have:$A = 1.0 	imes 10^{-4} 	imes 10^4\,cm^2 = 1\,cm^2$.

Similar Questions

The sensitivity of a galvanometer of resistance $171 \, \Omega$ becomes $1/20$ times when we use a shunt of $x \, \Omega$. Find $x$ ................. $\Omega$.

$A$ voltmeter has a range $0-V$ with a series resistance $R$. With a series resistance $2R$,the range is $0-V'$. The correct relation between $V$ and $V'$ is

$A$ galvanometer of $50 \, \Omega$ resistance has $25$ divisions. $A$ current of $4 \times 10^{-4} \, A$ gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of $25 \, V$, it should be connected with a resistance of

$A$ moving coil galvanometer of resistance $100 \,\Omega$ is used as an ammeter using a shunt resistance of $0.1 \,\Omega$. The maximum deflection current in the galvanometer is $100 \,\mu A$. Find the minimum current in the circuit so that the ammeter shows maximum deflection in $mA$.

The sensitivity of a galvanometer is $60 \text{ division/A}$. When a shunt is used,its sensitivity becomes $10 \text{ division/A}$. If the galvanometer is of resistance $20 \ \Omega$,the value of shunt used is (in $\Omega$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module