CBSE Class 12 Physics 2015 Delhi Set 1 Paper

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Question : 18
Total: 26
State the principle of working of a galvanometer. A galvanometer of resistance G is converted into a voltmeter to measure upto V volts by connecting a resistance R1 in series with the coil. If a resistance R2 is connected in series withit, then it can measure upto ‌
V
2
volts. Find the resistance, in terms of R1 and R2 required to be connected to convert it into a voltmeter that can read upto 2V . Also find the resistance G of the galvanometer in terms of R1 andR2.
Solution:  
Working Principle
Finding the required resistance
Finding the resistance G of the Galvanometer
Working Principle: A current carrying coil experiences a torque when placed in a magnetic field which tends to rotate the coil and produces an angular deflection.
V‌=Ig(G+R1)
‌
V
2
‌
=Ig(G+R2)

⇒‌‌2‌=‌
G+R1
G+R2

⇒‌‌G=R1−2R2
Let R3 be the resistance required for conversion into voltmeter of range 2V
∴‌2V‌=Ig(G+R3)
‌‌ Also ‌‌V‌=Ig(G+R1)
∴‌2‌=‌
G+R3
G+R1

∴‌R3‌=G+2R1
‌=R1−2R2+2R1
‌=3R1−2R2
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