Question

Two copper wires of the same length have got different diameters a. which wire has greater resistance? b. greater specific resistance?

Answer 1

Answer:

(a)

Resistance is directly proportional to length.

Resistance is inversely proportional to diameter.

So,

if length is same then wire of less diameter has high resistance.

(b) specific resistance of both wires is same, because it depend only on the nature of material not on the length or diameter.

Answer 2

a. The thinner wire will have greater resistance

b.Both the wire will have same specific resistance.

Explanation:

a)

• It is stated that the diameter of the two wires is different.
• Resistance is inversely proportional to the diameter of the wire.
• Hence, the thinner wire will be having higher resistance.

b)

• The term specific resistance refers to the resistance that is given per unit length and the unit cross-sectional area of a material with the voltage that is applied to the end is known.
• Specific resistance highly depends on the type of material and the temperature.
• It is represented with the equation given below:
• p=(RA)/L
• Here;
• p is Specific resistance
• R is Resistance
• A is material's cross-sectional area
• L is the material's length.
• The specific resistance will be the same in the two copper wires since they are no different in their length.

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