The heating coils in a hair dryer are 0.800 cm in diameter, have a combined length of 1.00 m, and a total of 400 turns. (a) What is their total self-inductance assuming they act like a single solenoid?

Their total self-inductance assuming they act like a single solenoid is 10.11 μH

Explanation:

Given;

diameter of the heating coil, d = 0.800 cm

combined length of heating coil and hair dryer, = 1.0 m

number of turns, N = 400 turns

Formula for self-inductance is given as;

where

μ₀ is constant = 4π x 10⁻⁷ T.m/A

A is the area of the coil:

A = πd²/4

A = π (0.8 x 10⁻²)²/4

A = 5.027 x 10⁻⁵ m²

Therefore, their total self-inductance assuming they act like a single solenoid is 10.11 μH

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