Concept explainers
Given E = Exax + Eyay + Ez3z V/m, where EX, Ey, and Ez are constants, determine the incremental work required to move charge q through a distance 6: (a) along the positive x axis, (b) in a, direction at 45 degrees from the x axis in the first quadrant; (c) along a line in the first octant having equal x, y, and z components, and moving away from the origin.
(a)
The value of incremental work along positive
Answer to Problem 4.1P
The value of incremental work along positive
Explanation of Solution
Given:
The expression for electric field is
Value of
Concept used:
Write the expression for incremental work.
Here,
Calculation:
To calculate incremental work along
So value of
Substitute
Simplify further.
Conclusion:
Thus,value of incremental work along positive
(b)
The value of incremental work in direction at
Answer to Problem 4.1P
The value of incremental work in direction at
Explanation of Solution
Concept used:
Write the expression for incremental work in
Here,
Write the expression for component of length in
Here,
Write the expression for component of length in
Here,
Calculation:
Substitute
So value of component of length in
Substitute
So value of component of length in
Substitute
Simplify further.
Here,
Substitute
Simplify further.
Conclusion:
Thus,the value of incremental work in direction at
(c)
The value of incremental work along a line in the first octant having equal
Answer to Problem 4.1P
The value of incremental work along a line in the first octant having equal
Explanation of Solution
Concept used:
Write the expression for incremental work in
Here,
Write the expression for length in
Here,
Calculation:
Value of length is same in
So
Substitute
Rearrange for
Substitute
Simplify further.
Here,
Substitute
Simplify further.
Conclusion:
Thus,the value of incremental work along a line in the first octant having equal
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Chapter 4 Solutions
Engineering Electromagnetics
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