A uniform electric field E = 2 × 103 N C-1 is acting along the positive x-axis. The flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane is

Question

A uniform electric field E = 2 × 103 N C-1 is acting along the positive x-axis. The flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane is (A) 20 N C-1 m2 (B) 30 N C-1 m2 (C) 10 N C-1 m2 (D) 40 N C-1 m2

Tardigrade Admin · Accepted Answer

Here, E = 2 × 103 N C-1 is along + x-axis Surface area, s = (10 cm)2 = 102 × 10-4 m2 = 10-2 m2 when plane is parallel to yz plane, θ = 0° So φ=ES cosθ=2×103×10-2 cos 0°=N C-1 m2

Q. A uniform electric field $E = 2 \times 1 0^{3} N C^{- 1}$ is acting along the positive $x$ -axis. The flux of this field through a square of $10 c m$ on a side whose plane is parallel to the $yz$ plane is

$20 N C^{- 1} m^{2}$

$30 N C^{- 1} m^{2}$

$10 N C^{- 1} m^{2}$

$40 N C^{- 1} m^{2}$

Here, $E = 2 \times 1 0^{3} N C^{- 1}$ is along $+ x$ -axis Surface area, $s = (10 c m)^{2} = 1 0^{2} \times 1 0^{- 4} m^{2} = 1 0^{- 2} m^{2}$
when plane is parallel to $yz$ plane, $θ = 0^{°}$
So $ϕ = ES cos θ = 2 \times 1 0^{3} \times 1 0^{- 2} cos 0^{°} = N C^{- 1} m^{2}$

Q. A uniform electric field E=2×103NC−1 is acting along the positive x-axis. The flux of this field through a square of 10cm on a side whose plane is parallel to the yz plane is

20NC−1m2

30NC−1m2

10NC−1m2

40NC−1m2