i don't understand the why the answer Solution: D vec(E)= vec(grad) V so the point of the greatest gradient has the largest magnitude of the electric field (i.e. at E) and the point with the least gradient (i.e at B - zero gradient) has the smallest magnitude of electric field. A 19. An electrostatic potential V in a region is only a function of x. V(r) is shown in the figure below. Of the labelled points, the magnitude of the electric field is respectively smallest and greatest at: V(x) A. B and D D. B and E Solution: D Ü B B. C and D E. D and B C C D E C. A and E Ē = -VV so the point of the greatest gradient has the largest magnitude of the electric field (i.e. at E) and the point with the least gradient (i.e at B- zero gradient) has the smallest magnitude of electric field.
i don't understand the why the answer Solution: D vec(E)= vec(grad) V so the point of the greatest gradient has the largest magnitude of the electric field (i.e. at E) and the point with the least gradient (i.e at B - zero gradient) has the smallest magnitude of electric field. A 19. An electrostatic potential V in a region is only a function of x. V(r) is shown in the figure below. Of the labelled points, the magnitude of the electric field is respectively smallest and greatest at: V(x) A. B and D D. B and E Solution: D Ü B B. C and D E. D and B C C D E C. A and E Ē = -VV so the point of the greatest gradient has the largest magnitude of the electric field (i.e. at E) and the point with the least gradient (i.e at B- zero gradient) has the smallest magnitude of electric field.
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Transcribed Image Text:i don't understand the why the answer Solution: D vec(E)= -vec(grad) V so the point of the greatest
gradient has the largest magnitude of the electric field (i.e. at E) and the point with the least gradient (i.e
at B - zero gradient) has the smallest magnitude of electric field.
19. An electrostatic potential V in a region is only a function of r. V(x) is shown
in the figure below. Of the labelled points, the magnitude of the electric field is
respectively smallest and greatest at:
V(x)
A
A. B and D
D. B and E
Solution: D
B
B. C and D
E. D and B
C
D
E
C. A and E
Ē = -VV
so the point of the greatest gradient has the largest magnitude of the electric
field (i.e. at E) and the point with the least gradient (i.e at B- zero gradient)
has the smallest magnitude of electric field.
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