Problem 3Electron's path in a uniform magnetic fieldAn electron travels at 20 x 10 m/s in a plane perpendicular to a uniform0.010 T magnetic field. Describe its path quantitatively. (Mass of an electron is 9.1 x 10-³¹kg,the charge in an electron is 16 x 10-¹C.)ApproachThe electron moves at speed v in a curved path and so must have a centripetalacceleration a="We find the radius of curvature using Newton's second law. Theforce is given by equation, F = qvB sin with sin 0=1, F =qvB.We insert F and a into Newton's second law:Σ F = mamv²qvB=muWe solve for rand findr =qBSince F is perpendicular to v, the magnitude of vsee that if = constant, then r = constant, and theabove.doesn't change. From this equation wecurve must be a circle as we claimed

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Problem 3 Electron's path in a uniform magnetic field An electron travels at 20 x 10 m/s in a plane perpendicular to a uniform 0.010 T magnetic field. Describe its path quantitatively. (Mass of an electron is 9.1 x 10-³¹kg, the charge in an electron is 16 x 10-¹C.) Approach

Problem 3 Electron's path in a uniform magnetic field An electron travels at 20 x 10 m/s in a plane perpendicular to a uniform 0.010 T magnetic field. Describe its path quantitatively. (Mass of an electron is 9.1 x 10-³¹kg, the charge in an electron is 16 x 10-¹C.) Approach

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter24: Magnetic Fields

Section: Chapter Questions

Problem 80A

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

Problem 3
Electron's path in a uniform magnetic field
An electron travels at 20 x 10 m/s in a plane perpendicular to a uniform
0.010 T magnetic field. Describe its path quantitatively. (Mass of an electron is 9.1 x 10-³¹kg,
the charge in an electron is 16 x 10-¹C.)
Approach
The electron moves at speed v in a curved path and so must have a centripetal
acceleration a="We find the radius of curvature using Newton's second law. The
force is given by equation, F = qvB sin with sin 0=1, F =qvB.
We insert F and a into Newton's second law:
Σ F = ma
mv²
qvB=
mu
We solve for rand find
r =
qB
Since F is perpendicular to v, the magnitude of v
see that if = constant, then r = constant, and the
above.
doesn't change. From this equation we
curve must be a circle as we claimed

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