The V - I graphs for a conductor at temperature T 1 and T 2 are shown in the figure. T 2 - T 1 is proportional to

Question

The V - I graphs for a conductor at temperature T 1 and T 2 are shown in the figure. T 2 - T 1 is proportional to, tan θ, sin θ, cot 2 θ, cos 2 θ

MARKS App · Accepted Answer

The slope of V - I graph gives resistance, R 1 = tanθ , R 2 = tan ( 90 - θ ) = cotθ R 1 = R 0 ( 1 + αT 1 ) and R 2 = R 0 ( 1 + αT 2 ) ∴ R 2 - R 1 = R 0 α ( T 2 - T 1 ) ⇒ cotθ - tanθ = R 0 α ( T 2 - T 1 ) ∴ T 2 - T 1 ∝ cosθ sinθ - sinθ cosθ ∝ 2 ( cos 2 θ - sin 2 θ ) 2 sinθ ⋅ cosθ ∝ 2 c o s 2 θ s i n 2 θ ∴ T 2 - T 1 ∝ cot 2 θ

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