The electric potential in a region of space is V =( 110 ² 110 y²) V, where and y are in meters. You may want to review (Page 714). For help with math skills, you may want to review: Part A What is the strength of the electric field at (x, y) = (3.0m, 2.0m) ?
The electric potential in a region of space is V =( 110 ² 110 y²) V, where and y are in meters. You may want to review (Page 714). For help with math skills, you may want to review: Part A What is the strength of the electric field at (x, y) = (3.0m, 2.0m) ?
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Question
Transcribed Image Text:The electric potential in a region of space is V =( 110 x²- 110 y²) V, where x and y are in meters.
You may want to review (Page 714).
For help with math skills, you may want to review:
Part A
What is the strength of the electric field at (x, y)
=
(3.0m, 2.0m) ?
Expert Solution
Step 1
Electric Field:
The electric field at a point can be defined as the negative gradient of the electric potential function at that point. Mathematically,
where is the electric potential function and represents the gradient operator (for two-dimensional space) which is given as,
where are the unit vectors along the x and y directions respectively.
NOTE: Only S.I. unit is used in the given problem so they are avoided in calculation part.
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Follow-up Questions
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Follow-up Question
What is the direction of the electric field at (x,y)=(3.0m,2.0m)=(3.0m,2.0m)? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis?
Solution
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