(a) The electric field in a certain region is E = (-4.0k) N/C. Determine the ele

Question

(a) The electric field in a certain region is E = (-4.0k) N/C. Determine the electric flux due to this field through an area represented by the vector A = (8.1i - 4.0k) m^2. How is the flux defined in terms of the electric field vector, and the area vector? Review dot product rules. N m^2/C (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A = (8.1i-4.0j) m^2. How is the flux defined in terms of the electric field vector, and the area vector? Review dot product rules. N.m^2/C

Explanation / Answer

electric flux = Qin/eo = Electric field times area

Electric flux = -4 k . (8.1 i -4 k)

apply dot product rules, i.i = j.j = k.k = 1

else 0

so

Electric flux = -4 * -4 = 16 Nm^2/C

----------------------------------

Electric flux = 4.*8.1 (k.i)   +(4*4 (k.j) = 0

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