1. Find the expressions of the static Coulomb's field E = Q ŕ Απεργ2 in the Cartesian and cylindrical coordinates. Hint: you need to determine the inner products among the unit vectors in different coordinate frames.

1. Find the expressions of the static Coulomb's field E = Q ŕ Απεργ2 in the Cartesian and cylindrical coordinates. Hint: you need to determine the inner products among the unit vectors in different coordinate frames.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section: Chapter Questions

Problem 18PQ: Find an expression for the electric field at point A for the dipole source shown in Figure P24.17....

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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

1. Find the expressions of the static Coulomb's field
Q ŕ
E
Απεργ2
in the Cartesian and cylindrical coordinates. Hint: you need to determine the inner
products among the unit vectors in different coordinate frames.

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Step 1: Find the expression in cartesian coordinate system:

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Step 2: Find the expression in cylindrical coordinate system:

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