QUESTION 5 (a) If dris an infinitesimal displacement vector given as dr = idx + jdy + kdz, write down an expression for the gradient of the scalar field Ø. Hence show that VØ. dr = dØ. Interpret your result. EV( 8)
QUESTION 5 (a) If dris an infinitesimal displacement vector given as dr = idx + jdy + kdz, write down an expression for the gradient of the scalar field Ø. Hence show that VØ. dr = dØ. Interpret your result. EV( 8)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![QUESTION 5
(a) If dris an infinitesimal displacement vector given as dr = idx + jdy + kdz,
write down an expression for the gradient of the scalar field Ø. Hence show that
Vø. dr = dø.
Interpret your result.
EV( 8)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ac56f98-2c71-41dd-939e-63f6a7ce906e%2Fd3d767a1-7fa8-4f57-bc93-c106cedaa5d8%2F6c2gty7_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 5
(a) If dris an infinitesimal displacement vector given as dr = idx + jdy + kdz,
write down an expression for the gradient of the scalar field Ø. Hence show that
Vø. dr = dø.
Interpret your result.
EV( 8)
![QUESTION 4
a) Two identical conducting spheres have charges of 1C and -1C respectively.
These two charges are separated by distance of 4cm.
i. Find the magnitude of the force between them
ii. If they are brought into contact and then again separated by 4m, find
the force between them.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ac56f98-2c71-41dd-939e-63f6a7ce906e%2Fd3d767a1-7fa8-4f57-bc93-c106cedaa5d8%2F2822rqg_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 4
a) Two identical conducting spheres have charges of 1C and -1C respectively.
These two charges are separated by distance of 4cm.
i. Find the magnitude of the force between them
ii. If they are brought into contact and then again separated by 4m, find
the force between them.
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