1. two wires - A and B - with circular cross sections have identical lengths and

Question

1. two wires - A and B - with circular cross sections have identical lengths and are made of the same material. yet, wire A has four times the resistance of wire B. how many times greater is the diameter of the wire B than wire A?

2. Current set-up in a truncated right circular cone of resistivity, 731.m, let radius a=2.00mm, right radius b=2.30mm, and length L=1.94cm. Assume that the current density is uniform across any cross-section taken perpendicular to the length. what is the resistance of the cone?

Explanation / Answer

1 R = Rho*L/A

Thus R is inversely proportional to A

As R is 4 times,therefore Area is 0.5 times ob that pb B

Thus B has area 2 times to that of A

2. Resistance of the cone = Rho*L/(*a*b)  [Standard formula]

= (731)*(1.94*10^-2)/(*2*2.30*10^-6) = 9.8*10^5 ohm

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