an area 5 × 10^-3 j m^2 is placed in an uniform electric field of (200i + 300j) N/C calculate the electric flux passing through this area
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The electric flux passing through the area of 5 x 10⁻³ j m² is 1.5 Nm²/C .
Explanation:
Given that :
- Area of surface = 5 x 10⁻³ j m²
- Electric field, E = ( 200 i + 300 j ) N/C
To find :
- Electric flux through the surface
Solution :
- The electric flux through any surface is equal to the number of electric field lines passing through the surface normally.
- If E is the electric field and A is the surface area and θ is the angle between electric flux and normal of the surface. Then,
- Electric flux= E.A = |E| |A| cosθ
- E.A = (5 x 10⁻³ j).(200 i + 300 j) Nm²/C.
- Since, unit vector i and j are perpendicular to each other, their dot product is zero.
- E.A = 1500 x 10⁻³ Nm²/C = 1.5 Nm²/C.
- Hence, electric flux through the surface 5 x 10⁻³ j m² is 1.5 Nm²/C .
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