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Worksheet: Electric Field Vectors

Q1:

At a point 𝑝 in space, the direction of the electric field vector is E i j = 1 √ 5 βˆ’ 2 √ 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 𝑝 ?

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

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

Q2:

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

Q3:

A vector field E is given by E k = 3 π‘₯ 2 . Calculate ο„Έ β‹… π‘Ž 𝑠 E n d , where 𝑆 = 2 . 2 m 2 is the area shown. Assume that n k = .