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In (d), spherical coordinates, why only obtain radical component of E? Why not obtain E-theta or E-pi? want to know why not obtain E-Theta or E-Pi, but only obtain E-r

In (d), spherical coordinates, why only obtain radical component of E? Why not obtain E-theta or E-pi? want to know why not obtain E-Theta or E-Pi, but only obtain E-r

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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In (d), spherical coordinates, why only obtain radical component of E?

Why not obtain E-theta or E-pi?

want to know why not obtain E-Theta or E-Pi, but only obtain E-r

|18 A charge Qọ located at the origin in free space produces a field for which E, = 1 kV/m at point P(-2, 1, – 1). (a) Find Qo. Find E at M(1, 6, 5) in (b) rectangular coordinates; (c) cylindrical coordinates; (d) spherical coordinates. %3D
Transcribed Image Text:|18 A charge Qọ located at the origin in free space produces a field for which E, = 1 kV/m at point P(-2, 1, – 1). (a) Find Qo. Find E at M(1, 6, 5) in (b) rectangular coordinates; (c) cylindrical coordinates; (d) spherical coordinates. %3D
d) Find E at M (1, 6, 5) in spherical coordinates: At M, r = V1+ 36+ 25 = 7.87, p = 80.54° (as before), and 0 obtain only a radial component of EM = cos-(5/7.87) = 50.58°. Now, since the charge is at the origin, we expect to This will be: · E, = EM · a, = -30.11 sin 0 cos o – 180.63 sin 0 sin ø – 150.53 cos 0 = -237.1
Transcribed Image Text:d) Find E at M (1, 6, 5) in spherical coordinates: At M, r = V1+ 36+ 25 = 7.87, p = 80.54° (as before), and 0 obtain only a radial component of EM = cos-(5/7.87) = 50.58°. Now, since the charge is at the origin, we expect to This will be: · E, = EM · a, = -30.11 sin 0 cos o – 180.63 sin 0 sin ø – 150.53 cos 0 = -237.1
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