Question

The electric field in a region is given by `vec"E" = 2/5"E"_0hat"i"+3/5"E"_0hat"j"` with `"E"_0 = 4.0xx10^3 "N"/"C"`. The flux of this field through a rectangular surface area 0.4 m² parallel to the Y - Z plane is ______ Nm²C^-1.

Options

• 620

• 640

• 660

• 680

Answer 1

The electric field in a region is given by `vec"E" = 2/5"E"_0hat"i"+3/5"E"_0hat"j"` with `"E"_0 = 4.0xx10^3 "N"/"C"`. The flux of this field through a rectangular surface area 0.4 m² parallel to the Y - Z plane is 640 Nm²C^-1.

Explanation:

Flux, Φ = `vec"E"·vec"A"= [2/5"E"_0hat"i"+3/5"E"_0hat"j"]."A"`

= `"E"_0/5(2hat"i"+3hat"j").(0.4hat"i")`

= `4000/5 (2xx0.4)`

= 640 Nm²C^-1