What is the resistance of the wire at 30^∘ C, if at 5^∘ C, the resistance of same wire is 200 Ωa

step 1 Hello students in this question we have to find the resistance of the wire at 30 degree centigra

What is the resistance of the wire at 30^∘ C, if at 5^∘ C,...

What is the resistance of the wire at $30^{\circ} \mathrm{C}$, if at $5^{\circ} \mathrm{C}$, the resistance of same wire is $200 \Omega$ and at $10^{\circ} \mathrm{C}$, the resistance is $200.2 \Omega ?$
(a) $200 \Omega$
(b) $201 \Omega$
(c) $204 \Omega$
(d) $195 \Omega$

Key Concepts

Resistance

Resistance is a measure of how much a material opposes the flow of electric current. It is often dependent on physical properties such as the length, cross-sectional area, and inherent resistivity of the material, and it can change with variations in temperature.

Temperature Coefficient of Resistance

The temperature coefficient of resistance is a parameter that quantifies the rate at which a material’s resistance changes with temperature. It is used in the linear relationship R = R?[1 + ?(T ? T?)], where R? is the initial resistance at temperature T?, and ? is the temperature coefficient, indicating how much the resistance increases per degree of temperature rise.

Linear Variation of Resistance with Temperature

The linear variation of resistance with temperature assumes that the resistance changes proportionally with the change in temperature over a certain range. This approximation is valid for many conductive materials over moderate temperature ranges, and it allows for straightforward calculations to predict resistance at different temperatures based on a known coefficient.

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