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CBSE Class 12 Physics 2023 Delhi Set 1 Paper

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Question : 29 of 35
Marks: +1, -0
(a) Briefly describe how the current sensitivity of a moving coil galvanometer can be increased.
(b) A galvanometer shows full scale deflection for current IgI_g. A resistance R1R_1 is required to convert it into a voltmeter of range (0−V)(0-V) and a resistance R2R_2 to convert it into a voltmeter of range (0−2V)(0-2V). Find the resistance of the galvanometer.
(a) Current sensitivity of galvanometer:
Current sensitivity of galvanometer =θI=NBA/c=\frac{\theta}{I}=N B A / c
So, to increase the current sensitivity:
(i) Permanent magnet should be strong so that BB is high.
(ii) NN and AA should be high.
(iii) Value of cc must be low.
(b) To convert into a voltmeter of range (0−V)(0-V),
V=Ig(Rg+R1)V=I_g(R_g+R_1) .....(i)
To convert into a voltmeter of range (0−2V)(0-2V),
2V=Ig(Rg+R2)2V=I_g(R_g+R_2) .....(ii)
Dividing equation (i) by (ii)
V2V=Rg+R1Rg+R2\frac{V}{2V} = \frac{R_g+R_1}{R_g+R_2}
 Or, 12=Rg+R1Rg+R2\text{ Or, } \frac{1}{2} = \frac{R_g+R_1}{R_g+R_2}
∴Rg=R2−2R1\therefore R_g = R_2 - 2R_1
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