Part (a) What is the change in electric potential, in volts, from point (0, 0) to point (x₁, 0)? V V(x₁, 0) - V(0, 0)= Part (b) What is the change in potential, in volts, from point (x₁, 0) to point (x₁, ₁)? V V(x₁, y₁) - V(x₁, 0) = Part (c) What is the change in potential, in volts, from point (0, 0) to point (x₁. ₁), along the path that passes through (x₁.0)? V(x1, y₁) - V(0,0)= V

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 28P: Repeat the previous problem, given that the circular area is (a) in the yz-plane and (b) 45( above...
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Problem 3: The electric field in a certain region is given by the function
E = Ak cos (kx) cos (by) i – Ab sin (kx) sin (by)
where A = 18.06 N-m/C, k = 0.702 m ¹, and b = 1.29 m¹. The points in the figure use the values
1 1.5 m and u₁= 3.36 m.
Part (a) What is the change in electric potential, in volts, from point (0, 0) to point (x₁, 0)?
V(x₁,0) - V(0, 0) =
Part (b) What is the change in potential, in volts, from point (x₁, 0) to point (x₁.y₁)?
V(x1.₁) - V(x₁.0)=1
V
V
V
(0,y₁)
Part (c) What is the change in potential, in volts, from point (0, 0) to point (₁. ₁), along the path that passes through (x₁, 0)?
V(x₁, y₁) - V(0, 0) =
(0,0)
(x₁₂V₁)
(x₁,0)
Transcribed Image Text:Problem 3: The electric field in a certain region is given by the function E = Ak cos (kx) cos (by) i – Ab sin (kx) sin (by) where A = 18.06 N-m/C, k = 0.702 m ¹, and b = 1.29 m¹. The points in the figure use the values 1 1.5 m and u₁= 3.36 m. Part (a) What is the change in electric potential, in volts, from point (0, 0) to point (x₁, 0)? V(x₁,0) - V(0, 0) = Part (b) What is the change in potential, in volts, from point (x₁, 0) to point (x₁.y₁)? V(x1.₁) - V(x₁.0)=1 V V V (0,y₁) Part (c) What is the change in potential, in volts, from point (0, 0) to point (₁. ₁), along the path that passes through (x₁, 0)? V(x₁, y₁) - V(0, 0) = (0,0) (x₁₂V₁) (x₁,0)
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