A nichrome wire AB, 100 cm long and of uniform cross section is mounted on a meter scale the points A and B coinciding with 0 cm and 100 cm marks respectively. The wire has a resistance S = 50 ohm. Any point C along this wire, between A and B is called a variable point to which on end of and electrical element is connected. In the following questions this arrangement will be referred to as 'wire AB'.
(i) The emf of a battery is determined using the following circuit with 'wire AB'. The galvanometer shows zero deflection when one of its terminals is connected to point C. If the internal resistance of the battery is 4 ohm, its emf is

Text Solution
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(i)

Current is AB = 
Potential gradient
x = 
For Balancing length
v = x λ
=
E = 4.05
(ii)

R G = 50 Ω Ω

Current sensitivity = 

= 
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