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Question -

Consider a uniform electricfield E = 3 × 103 îN/C.(a) What is the flux of this field through a square of 10 cm on a side whoseplane is parallel to the yz plane? (b) What is the fluxthrough the same square if the normal to its plane makes a 60° angle withthe x-axis?



Answer -

(a) Electricfield intensity,  = 3 × 10îN/C
Magnitudeof electric field intensity, = 3 × 103 N/C

Side of the square, s =10 cm = 0.1 m

Area of the square, A =s2 = 0.01 m2

The plane of the square isparallel to the y-z plane. Hence, angle between the unitvector normal to the plane and electric field, θ = 0°

Flux (Φ) through the planeis given by the relation,

Φ= 

= 3 × 103 × 0.01× cos0°

= 30 N m2/C

(b) Planemakes an angle of 60° with the x-axis. Hence, θ =60°

Flux, Φ =

= 3 × 103 × 0.01× cos60°

 = 15 N m2/C

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