Question

Find the resistance of a nichrome wire of length 1m and area f cross section 2mm^2. The resistivity of nichrome is 100*10^-6 ohm m

Answer 1

Hello friends....!

The answer to the question above is R=50ohms.

Answer 2

Given :

Length (L) = 1 m

Area (A) = 2 mm²

Resistivity (ρ) = 100 × 10⁻⁶ ohm . m

To Find :

Resistance of nichrome wire

Solution :

We know, Resistance is directly proportional to length of the conductor (L) and inversely proportional to the cross-sectional area (A). Resistance can be given as -

Resistance (R) = ρ$\frac{L}{A}$

                        = 10⁻⁴ × $\frac{1}{2 * (10^-^3)^2}$

                        = 50 ohm

Therefore, the resistance of the nichrome wire of length 1 m having area of cross section of 2mm² is 50 ohm.