The characteristics of five wires are given in the table. Material iron copper c

Question

The characteristics of five wires are given in the table. Material iron copper copper copper iron Wire Length 2.0 m 2.0 m 2.0 m 1.0 m 2.0 m Gauge #22 #22 #18 #18 #18 The gauge is a measure of the diameter of the wire; and #18 corresponds to a diameter of 1.2 × 10-3 m, and #22 corresponds to a diameter of 6.4 x 10-4 m. The resistivity of iron is 9.7 x 10-8 ·m; and the value for copper is 1.72 × 10-8 -m. 1. Of the five wires, which one has the smallest resistance? 2. Which one of the wires carries the smallest current when they are connected to identical batteries? 3. What is the resistance of wire B? (Show work.) 4. Wire B is connected to the terminals of a 1.5-V battery. What magnitude current flows through the wire?

Explanation / Answer

1 for minimum resistance length should be min, resistivity min, and area or radius should be maximum.

So D

2 Similarly max resistance is of A so A will allow minimum current to flow.

3 Resistance =resistivity*length/area. =

1.72*10-8*2/3.14*3.2*10-4*3.2*10-4 = 0.11 ohm

4 I = V/R = 1.5/.11 = 14.02 ampere

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