In this lesson, we will learn how to calculate the components of a vector electric field from its magnitude and direction at a point.

Q1:

At a point π in space, the direction of the electric field vector is E i j = 1 β 5 β 2 β 5 and the magnitude of the electric field is 400.0 V/m.

What is the scalar component E x of the field E at the point π ?

What is the scalar component E y of the field E at the point π ?

What is the scalar component E z of the field E at the point π ?

Q2:

A vector field is pointed along the π§ -axis that is modeled by the equation E z = 1 2 π₯ π¦ 2 . Find the electric flux of the vector field through a rectangle in the π₯ π¦ -plane between the positions β 1 . 0 < π₯ < 2 . 0 and β 1 . 0 < π¦ < 3 . 0 .

Q3:

A vector field E is given by E k = 3 π₯ 2 . Calculate οΈ β π π E n d , where π = 2 . 2 m 2 is the area shown. Assume that n k = .

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