A Start with V = 2 π k σ [ ( R 2 + x 2 ) − x ] for the electric potential of a disk of radius R and excess surface charge density σ at a position x from the center of a disk on its axis, and derive an expression for the electric field at this position. Hint : See Example 24.6 (page 732) to check your answer.
A Start with V = 2 π k σ [ ( R 2 + x 2 ) − x ] for the electric potential of a disk of radius R and excess surface charge density σ at a position x from the center of a disk on its axis, and derive an expression for the electric field at this position. Hint : See Example 24.6 (page 732) to check your answer.
Solution Summary: The author explains how to obtain the equation for electric at the point, which expresses the electric field as gradient of electric potential.
A Start with
V
=
2
π
k
σ
[
(
R
2
+
x
2
)
−
x
]
for the electric potential of a disk of radius R and excess surface charge density σ at a position x from the center of a disk on its axis, and derive an expression for the electric field at this position. Hint: See Example 24.6 (page 732) to check your answer.
Will you please walk me through the calculations in more detail for solving this problem? I am a bit rusty on calculus and confused about the specific steps of the derivation: https://www.bartleby.com/solution-answer/chapter-3-problem-15e-modern-physics-2nd-edition/9780805303087/7cf8c31d-9476-46d5-a5a9-b897b16fe6fc
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