Subject: ElectromagnetismTopic: Curvilinear CoordinatesSubtopic: Spherical CoordinatesProblem Set: #1Solve for x,y,z in terms of r, θ, Φ. Spherical coordinatesx = rsine cos &= rsine sindZ =r cas oÀ = A₁² + A₂ = + A6 osine cos i tsine sind ŷ + cosa€ = cos to cos & x + cos Osing ŷ - sino z$ = -sin • 2 + cos@ ŷP$Z01>$ * & (r)12/0 (²)|6ydr² = ²² (²) ar으or^ = // (v²)1 & (P)]2 (r)dedde(1) EL COS5X53 S3:1sint coscos 6 cos &-sin &sine cos &sin sindLos OPROBLEM SETsinesing coscosesing -sin Ⓒcos pO90cose cos & -singcosesin & card-sinOSolve for x, y, 2 in terms of2,6,72) solve x₁y, 22 in terms of theunit vectors in thecylindrical coordinate, s$دل د کلالZ8

Answered: Image /qna-images/answer/744320a9-52b1-4ebe-8bff-eb4568445563.jpg

Answered: Subject: Electromagnetism Topic:…

Subject: Electromagnetism Topic: Curvilinear Coordinates Subtopic: Spherical Coordinates Problem Set: #1 Solve for x,y,z in terms of r, θ, Φ.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Subject: Electromagnetism

Topic: Curvilinear Coordinates

Subtopic: Spherical Coordinates

Problem Set: #1

Solve for x,y,z in terms of r, θ, Φ.

Spherical coordinates
x = rsine cos &
= rsine sin
d
Z =
r cas o
À = A₁² + A₂ = + A6 o
sine cos i tsine sind ŷ + cosa
€ = cos to cos & x + cos Osing ŷ - sino z
$ = -sin • 2 + cos@ ŷ
P
$
Z
0
1>
$ * & (r)
12/0 (²)|
6
y
dr² = ²² (²) ar
으
or
^ = // (v²)
1 & (P)]
2 (r)
de
d
de
(1)

EL COS
5X53 S
3
:
1
sint cos
cos 6 cos &
-sin &
sine cos &
sin sind
Los O
PROBLEM SET
sinesing cos
cosesing -sin Ⓒ
cos p
O
90
cose cos & -sing
cosesin & card
-sin
O
Solve for x, y, 2 in terms of
2,6,7
2) solve x₁y, 22 in terms of the
unit vectors in the
cylindrical coordinate, s
$
دل د کلال
Z
8

Interaction between an electric field and a magnetic field.

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