A wire of length l tapers uniformly from end P to end Q with the diameter at P twice that at Q . A potential difference is applied across the ends of the wire. Which graph represents the variation of the drift velocity V of the conduction e

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A wire of length l tapers uniformly from end P to end Q with the diameter at P twice that at Q . A potential difference is applied across the ends of the wire. Which graph represents the variation of the drift velocity V of the conduction electrons with distance x ?

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For a current-carrying conductor neπr 2 V = i = constant ∴ V = K π r 2 ∴ V ∝ 1 r 2 Now at x = 0 r a d i u s = 2 r 0 ; a t x = l r a d i u s = r 0 ∴ V a t x = 0 = K π 4 r 0 2 V a t x = l = K π r 0 2

A wire of length l tapers uniformly from end P to end Q with the diameter at P twice that at Q . A potential difference is applied across the ends of the wire. Which graph represents the variation of the drift velocity V of the conduction electrons with distance x ?

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