A 2.0 cm x 3.0 cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if;
πΈ
β
= (100
?Μ
+ 50
π
Μ
) N/C
1
Expert's answer
2021-05-16T17:53:34-0400
Explanations & Calculations
Area of the rectangle
aβ=2.0Γ3.0=6.0cm2=6Γ10β4m2β
Flux βaccording to how it's definedβ is the amount of field perpendicular to the given area multiplied by that area.
Now, the field is E=100i^+50k^: given in vector form which makes it even easy to get the answer.
We need only the perpendicular component of the field and careful observation would give you that, only the component 50 is perpendicular as it along the k axis which is perpendicular to both XandY axes & thus even the XY plane.
Then the flux can be calculated as follows
Οβ=50NCβ1Γ6Γ10β4m2=0.03Wbβ
And if you notice carefully, if the field is given as E=100j^β+50k^ (as it is not clear enough what is given in the question) would work the same as 50 is again the only component perpendicular.
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