Question

The resistance of a conducting wire X of length 1m is 5 ohm . calculate the resistance of the wire made by the same material whose length is 4 times and area of cross-section is 5 times that of wire X. (At same temperature). For 3marks

Answer 1

Answer:

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Explanation:

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Answer 2

The resistance of conducting wire X is 1 metre is 5 Ohm the resistance of the wire made by the same material is step wise explanation is given below:

- At specific temperature resistance is the property of conductor. Resistance is defined as through a conducting material the amount of opposition there is to the flow of electric current.

- Formula of resistance.

Resistance = Resistivity × length/Area

- Resistance is directly proportional to length and inversely proportional to area of cross section.

- Resistivity depends upon the material and nature of the conductor like temperature.

- As mentioned above the resistance of the conducting wire x of length one metre is 5 Ohm and another wire made by the same material length is 4 times and area of cross section is five times to that over X and having same temperature.

- Due to same material and same temperature is a stability of both the wires will be same.

- So, by putting the values in the formula of resistance.

- Resistance of conducting wire X is,

R1= Resistivity(ρ) × length(L)/Area(A)

...(i)

- Resistance of another wire is,

L2 = 4×L;

A2 = 5×A;

- Resistivity is same for both the wires. so,

R2 = Resistivity(ρ)×L2/A2

i.e. R2 = Resistivity(ρ)×4×L2/5×A...(ii)

- By dividing (i) and (ii) equation we get,

R2/R1 = Resistivity(ρ)×4×L2/5×A/Resistivity(ρ)×L/A

R2/5= 4×1/5×A/1/A

R2 = 5×4/5

R2= 4 ohm