Consider a uniform electric field E=3 × 103 hati N / C . What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane?

Question

Consider a uniform electric field E=3 × 103 hati N / C . What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane? (A) 10 N C -1 m 2 (B) 20 N C -1 m 2 (C) 30 N C -1 m 2 (D) 40 N C -1 m 2

Tardigrade Admin · Accepted Answer

Here, vecE=3 × 103 hati N / C i.e., field is along +x -axis direction. Surface area, S=(10 cm )2=102 cm 2 =102 × 10-4 m 2=10-2 m 2. When plane is parallel to y-z plane, θ=0° φE=E S cos θ=3 × 103 × 10-2 cos 0° =30 N C -1 m 2

Q. Consider a uniform electric field $E = 3 \times 1 0^{3} \hat{i} N / C .$ What is the flux of this field through a square of $10 c m$ on a side whose plane is parallel to the $y - z$ plane?

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

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

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

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

Q. Consider a uniform electric field E=3×103i^N/C. What is the flux of this field through a square of 10cm on a side whose plane is parallel to the y−z plane?

10NC−1m2

20NC−1m2

30NC−1m2

40NC−1m2

Here, E=3×103i^N/C i.e., field is along +x -axis direction. Surface area, S=(10cm)2=102cm2 =102×10−4m2=10−2m2. When plane is parallel to y−z plane, θ=0∘ ϕE​=EScosθ=3×103×10−2cos0∘ =30NC−1m2

Q. Consider a uniform electric field $E = 3 \times 1 0^{3} \hat{i} N / C .$ What is the flux of this field through a square of $10 c m$ on a side whose plane is parallel to the $y - z$ plane?

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

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

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

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