Problem 2: A caterpillar of length L crawls in the same direction as electron fl

Question

Problem 2: A caterpillar of length L crawls in the same direction as electron flow along an exposed copper wire of diameter D which carries a steady current of i.

a) Find the potential difference between the two ends of the caterpillar

b)Is the caterpillar's tail positive or negative compared to its head? No explanation is required.

Can you please show me all the works ??

Thank you so much!!!

(c calculate the numerical answers to parts (a) and (b) using the following values: E, 6,0 V, Ez 5.0 V, E 4.0 V, R 100 n, and R 50, n. 0,050 6.0 or 2 PROBLEM 2: A caterpillar of length Lcrawls in the same direction as electron flow along A2rrL an exposed copper wire of diameter D which carries a steady current of i. (a) Find the potential difference between the two ends of the caterpillar. 26 electmen Paopper o (b) Is the caterpillars tail positive or negative compared to its head? No explanation is required. (c time would it take the caterpillar to crawl a distance Ar and still keep pace How much with the drifting electrons in the wire?

Explanation / Answer

a)We know resistance is given by

R = rho L/A

R = rho L/ pi D^2/4 = 4 rho L/pi D^2

V = IR = i 4 rho L/pi D^2

Hence, V = 4 i rho L/pi D^2

b)The head is at higher potential. Since i is in apposite to electron's drift.

c)Vd be drift speed

Vd = delta r/t

t = delta r/Vd

Vd = J/n e = i/ A n e

t = delta r x A n e/i

A = pi D^2/4 ; n = nno density of copper; e charge on an electron

t = delta r ( pi D^2 n e)/4 i

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