Complete Theory

Worked Examples

Example 1Magnetic field of a straight wire and a solenoid

Exercise 1Lorentz forceMedium

📋 Problem to solve

An electron (

m = 9.1\times10^{-31}\,\mathrm{kg}

) moves with speed

v = 10^6\,\mathrm{m/s}

perpendicularly to a uniform magnetic field

B = 0.1\,\mathrm{T}

. Calculate the radius of the circular trajectory followed by the electron.

📌 Given data

m=9.1\times10^{-31}\,kgv=10^6\,m/sB=0.1\,T|q|=1.602\times10^{-19}\,C

Exercise 2Ampère's lawHard

📋 Problem to solve

A toroidal solenoid has

N = 500

turns and carries a current

I = 3\,\mathrm{A}

. The mean radius of the toroid is

r = 0.1\,\mathrm{m}

. Calculate the magnetic field

B

inside the toroid (assume the field is uniform along the mean circumference).

📌 Given data

N=500I=3\,Ar=0.1\,m

📚

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