A region contains the uniform magnetic field

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Magnetostatics · Magnetostatics

Electricity, Magnetism and Electromagnetism, Ch The Biot-Savart law and the fields of steady currents

Problem

\mathbf{B} = 0.15\,\hat{\mathbf{z}}\,\mathrm{T}

. Take the electron charge as

-e

with

e = 1.602\times10^{-19}\,\mathrm{C}

and the electron mass as

m_e = 9.109\times10^{-31}\,\mathrm{kg}

. Gravity and any collisions are ignored. ((a)) An electron enters the region with velocity

\mathbf{v} = 2.0\times10^{6}\,\hat{\mathbf{x}}\,\mathrm{m\,s^{-1}}

. Compute

\mathbf{v}\times\mathbf{B}

and hence the magnitude and direction of the magnetic force on the electron. ((b)) Find the radius of the circle the electron travels on. ((c)) A rigid circular coil of

25

turns and radius

3.0\,\mathrm{cm}

, carrying

0.40\,\mathrm{A}

, is placed in the same field with its magnetic moment along

+\hat{\mathbf{x}}

. Find the magnitude and direction of the torque on the coil.

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