A tapered bar of length L and end diameters D 1 and D 2 is made of a material of electrical resistivity ρ . The electrical resistance of the bar is

Question

A tapered bar of length L and end diameters D 1 and D 2 is made of a material of electrical resistivity ρ . The electrical resistance of the bar is, 4 ρ L π D 1 + D 2 2, 4 ρ L π D 1 - D 2 2, ρ π D 1 D 2 4 L 2, 4 ρ L π D 1 D 2

MARKS App · Accepted Answer

The shape of the conductor is of frustum whose area is A = A 1 A 2 = π 4 D 1 2 × π 4 D 2 2 = π 4 × D 1 D 2 R = ρ L A = 4 ρ L π D 1 D 2

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