Question

An aluminium (a A1 = 4 x 10-3/°C) wire resistance
'Ri' and carbon wire
(ae = 0.5 x 10-3/°C) resistance "R,' are connected
in series to have a resultant resistance of 18 ohm at all
temperatures. The values of Ri and R2 in ohms​

Answer 1

Answer:

Here, resistance of aluminium is R₁ and resistance of carbon is R₂ and

R₁ + R₂: - 36 . (1)

R₁ = R₁ [1 + α₁ AT]

R2 R₂[1 + a₂ AT] =

R₁ + R₂ is independent of T

⇒ R₁α₁ + R₂α₂ = = 0

Also, R₁ R₂

or, R₁ R₂ 0.5 × 10-3 04 x 10-3

or, R₁ R2 = 1 8

= 8R₁

using this value in equation (1) R₁ + 8R1 = 36

9R1 = 36

..R₁ = 40 and R₂ = 320

Answer 2

Explanation:

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Aluminium6.5