Resistance Calculation for Metallic Wire
The resistance ($R$) of a wire is determined by its resistivity ($\rho$), length ($L$), and cross-sectional area ($A$). The formula relating these quantities is:
$ R = \frac{\rho L}{A} $
Given Values:
- Resistivity ($\rho$): $2 \times 10^{-6} \text{ ohm-m}$
- Length ($L$): $1 \text{ m}$
- Area of cross-section ($A$): $1 \text{ m}^2$ (interpreted from '1sq. metre')
Applying the Formula:
Substitute the given values into the resistance formula:
$ R = \frac{(2 \times 10^{-6} \text{ ohm-m}) \times (1 \text{ m})}{1 \text{ m}^2} $
Result:
Calculating the resistance:
$ R = 2 \times 10^{-6} \text{ ohm} $
Therefore, the resistance of the metallic wire is $2 \times 10^{-6} \text{ ohm}$.
Similar Questions
- 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?
