On increasing the length of the conductor, resistance is increased.
The correct answer is: On increasing the length of the conductor, resistance is increased.
The resistance \(R\) of a conductor is directly proportional to its length (\(L\)) and inversely proportional to its cross-sectional area (\(A\)). This relationship is described by the formula:
\(R = \rho \frac{L}{A}\)
where \(\rho\) is the resistivity of the material, a constant that depends on the type of material.
From this formula, we can see that if the length \(L\) of the conductor increases while the cross-sectional area \(A\) remains constant, the resistance \(R\) will also increase proportionally. Conversely, if the length decreases, the resistance decreases. Options 2 and 4 are incorrect because they contradict this fundamental relationship. Option 3 is incorrect because increasing the thickness (which increases the cross-sectional area) actually *decreases* the resistance.
Similar Questions
- The resistance of a metallic wire of length 1m and area of cross-section 1sq.metre having a resistivity is $2 \times 10^{-6}$ ohm - m is:
- Resistivity of the wire depends on mainly ________
When a number of resistance are connected in _______, their combined resistance is less than the smallest individual resistance.
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:
A circular coil of single turn has a resistance of 20 Ω. Which one of the following is the correct value for resistance between the ends of any diameter of the coil?
Let us consider a copper wire having radius r and length l. Let its resistance be R. If the radius of another copper wire is 2r and the length is l/2 then the resistance of this wire will be
If the length of a conductor is doubled, then the resistance of the conductor will be: (other parameters are kept same)
Which factor does NOT affect the resistivity of a material?
