Question
Explain current sensitivity and voltage sensitivity of galvanometer.

Answer

Current Sensitivity :
For moving coil Galvanometer,
$\phi=\frac{ NBA }{k} \cdot I$
Where, $N =$ number of turns in coil
$A =$ area of coil
$k=$ the torsional constant of spring
$B =$ magnetic field
$I=$ current passing through the coil.
The deflection per unit current is called the current sensitivity of the galvanometer.
$\therefore \frac{\phi}{ I }=\frac{ BAN }{k}$
From, equation (2) it is clear that to increase the current sensitivity of galvanometer of coil, number of turns $( N )$ are increased.
Voltage Sensitivity :
Multiplying $\frac{1}{R}$ on the both sides of equation (2), we get.
$\begin{aligned}
\frac{\phi}{ IR } & =\frac{ BAN }{k R } \\
\therefore \quad \frac{\phi}{ V } & =\frac{ BAN }{k R }
\end{aligned}$
The deflection per unit voltage is known as the voltage sensitivity of galvanometer.
Equation (3) shows that if the number of turns in the coil is increased, the resistance of coil also increases, So that the voltage sensitivity remains constant.

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