current-electricity Question 58

Question: Q. 13. Calculate the value of the unknown potential V for the given potentiometer circuit. The total length (400 cm) of the potentiometer wire has a resistance of 10Ω and the balance point is obtained at a length of 240 cm.

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Solution:

Ans. The current through the potentiometer wire

=3 V(290+10)Ω=102 A1

Potential drop per unit length of the potentiometer

 wire, ϕ=102 A×10Ω400 cm =14×103 V/cm

(1)V=ϕl=14×103×240 volt  =6 V×102 V =60 millivolt  =60mV

AT Q. 14. Answer the following :

(i) Why are the connections between the resistors in a meter bridge made of thick copper strips ?

(ii) Why is it generally preferred to obtain the balance point in the middle of the metre bridge wire?

(iii) Which material is used for the metre bridge wire and why?

Ans. (i) This is to ensure that the connections do not contribute any extra, unknown, resistances in the circuit.

(ii) This is done to minimize the percentage error in the value of the unknown resistance.

Alternatively, This is done to have a better “balancing out” of the effects of any irregularity or non-uniformity in the meter bridge wire.

This can help in increasing the sensitivity of the meter bridge circuit.

1

(iii) Manganin / Constantan / Nichrome

These materials have a low temperature (any one ) coefficient of resistance / high resistivity. 1/2+1/2

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