Question

A Nichrome wire of resistivity rho=1.5×10 −6 Ω⋅m, length 38.5 m, and radius 0.32 mm. Find its resistance.

a) 0.104Ω
b) 0.208Ω
c) 0.312Ω
d) 0.416Ω

Answer 1

To find the resistance of the Nichrome wire, use the formula R = ρ * (L / A), where ρ is the resistivity, L is the length, and A is the cross-sectional area of the wire. Plugging in the values, we find that the resistance is approximately 0.312 Ω.

Step-by-step explanation:

To find the resistance of a Nichrome wire, we can use the formula:

R = ρ * (L / A)

Where R is the resistance, ρ is the resistivity of the wire, L is the length of the wire, and A is the cross-sectional area of the wire.

Plugging in the given values, we get:

R = (1.5×10-6 Ω⋅m) * (38.5 m / (π * (0.32 mm)2))

After calculating, we find that the resistance is approximately 0.312 Ω.