The resistance of a 10 m long copper wire is R ohm. What will be the resistance of a 5 m long copper wire?
0.5R ohm
The correct answer is Option 1 i.e. 0.5R ohm.
To find the resistance of the 5 m long copper wire, we can use the formula for resistance of a wire:
R=ρ(L/A)
Where:
-
R is resistance
-
ρ (rho) is the resistivity of the material (same for copper)
-
L is the length of the wire
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A is the cross-sectional area
Now, since the wire is made of the same material and we assume it has the same thickness (i.e., same A), the resistance is directly proportional to the length.
So:
Rnew/Roriginal = Lnew/Loriginal
Substituting values:
Rnew/R = 5/10
Rnew = R/2
The resistance of the 5 m long copper wire will be R/2 ohms.
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Important Questions from Resistance and Resistivity
Which of the following statements are correct about the electrical resistance and resistivity of a wire?
1. Both quantities depend on the area of cross-section of the wire
2. Both depend on the temperature
3. Resistance of the wire is directly proportional to the resistivity of the wire
4. Resistivity of the wire is directly proportional to the length of the
wireSelect the correct answer using the code given below:
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Which factor does NOT affect the resistivity of a material?
