The concept of flux concerns the amount of a field that passes through a surface. We are interested in the electric field at present, but the concept of flux is much more applicable beyond electricity and magnetism. For an electric field E, the flux of E through a small area AA is ΔΦ-Ε. ΔΑ- ΕΔΑ cos θ where 0 is the angle between E and în the normal to the area element AA. (a) Make a simple sketch of the electric field passing through a rectangular plane indicating the vector area element AÃ. (b) For what value of 0 is the electric flux through AÃ a maximum? a minimum? (c) How would you determine the total flux through the rectangular plane?

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The concept of flux concerns the amount of a field that passes through a surface. We are interested
in the electric field at present, but the concept of flux is much more applicable beyond electricity
and magnetism. For an electric field E, the flux of E through a small area AA is
ΔΦ-Ε. ΔΑ-ΕΔΑ cos θ
where 0 is the angle between E and n the normal to the area element AA.
(a) Make a simple sketch of the electric field passing through a rectangular plane indicating the
vector area element AÃ.
(b) For what value of 0 is the electric flux through AÃ a maximum? a minimum?
(c) How would you determine the total flux through the rectangular plane?
Transcribed Image Text:The concept of flux concerns the amount of a field that passes through a surface. We are interested in the electric field at present, but the concept of flux is much more applicable beyond electricity and magnetism. For an electric field E, the flux of E through a small area AA is ΔΦ-Ε. ΔΑ-ΕΔΑ cos θ where 0 is the angle between E and n the normal to the area element AA. (a) Make a simple sketch of the electric field passing through a rectangular plane indicating the vector area element AÃ. (b) For what value of 0 is the electric flux through AÃ a maximum? a minimum? (c) How would you determine the total flux through the rectangular plane?
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