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  • Circuit for the measurement of resistance by potentiometer is shown in Figure. The galvanometer is first connected at point and zero deflection is observe

Circuit for the measurement of resistance by potentiometer is shown in Figure. The galvanometer is first connected at point and zero deflection is observed at length = 10 cm. In second case, it is connected at point and zero deflection is observed at a length 30 cm from , then the unknown resistance is

 

Option: 1

2 R


Option: 2

R/2


Option: 3

R/3


Option: 4

3 R


Answers (1)

In potentiometer wire, potential difference is directly proportional to length, let the potential drop of unit length of a potentiometer wire be k

For zero deflection, the current will flow independently in two circles:
\mathrm{I R=K \times 10 }

\mathrm{ I R+I X=K \times 30 }

Subtracting Eq. (ii) from Eq. (i), we get

\mathrm{I X=k \times 20 }

Dividing Eq. (i) by Eq. (ii), we have
\mathrm{ \frac{R}{X}=\frac{1}{2} }

Posted by

Kshitij

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