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
-
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.
Similar Questions
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- The resistance of a uniform metallic conductor depends on its:
- Which of the following statements is correct?
A cylindrical wire of length L and radius r has resistance R. The resistance of another wire of the same material but of twice its length and one-fourth its radius is:
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Important Questions from Resistance and Resistivity
Which of the following metals has the lowest electrical resistivity?
When electric current is passed through a wire, the amount of heat produced in a wire depends upon _______.
I. Length
II. Thickness
A uniform wire of resistance 9Ω is bent in the form of an equilateral triangle. Find the effective resistance across a side of the triangle.
The value of carbon resistance is 54 × 103 Ω. The percentage tolerance is 5%. What is the colour code sequence of carbon resistance?
Which of the following relations are wrong?
I. The specific conductance is given by the relation \(k = \frac{1}{R}\left( {l/A} \right)\)
II. The equivalent conducting is given by the relation \(\lambda = \frac{{100\;K}}{C}\)
III. The specific resistance is given by the relation \(\rho = \frac{{Rl}}{A}\)
