A current of 200 mu A deflects the coil of a | vedclass

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(C) In a moving coil galvanometer,the deflection $	heta$ is directly proportional to the current $i$ flowing through the coil,given by $i = k	heta$,

Vedclass · Accepted Answer

$60$

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(C) In a moving coil galvanometer,the deflection $	heta$ is directly proportional to the current $i$ flowing through the coil,given by $i = k	heta$,where $k$ is the galvanometer constant.Given:$i_1 = 200 \ \mu A$$	heta_1 = 60^{\circ} = 60 	imes \frac{\pi}{180} 	ext{ radians} = \frac{\pi}{3} 	ext{ radians}$$	heta_2 = \frac{\pi}{10} 	ext{ radians}$Using the proportionality $i \propto 	heta$,we have:$\frac{i_2}{i_1} = \frac{	heta_2}{	heta_1}$Substituting the values:$\frac{i_2}{200 \ \mu A} = \frac{\pi / 10}{\pi / 3}$$\frac{i_2}{200 \ \mu A} = \frac{3}{10}$Solving for $i_2$:$i_2 = 200 \ \mu A 	imes \frac{3}{10} = 60 \ \mu A$

$A$ current of $200 \ \mu A$ deflects the coil of a moving coil galvanometer through $60^{\circ}$. The current required to cause a deflection of $\frac{\pi}{10}$ radians is: (in $\mu A$)

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