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 $2 \times 10^{-6} \text{ ohm}$.
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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