Consider a uniform electric field \(\vec E\) = 3× 103\(\hat i\) N/C.

1.	Consider a uniform electric field \(\vec E\) = 3× 103\(\hat i\) N/C. What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the YZ plane?
Answer» Here, \(\vec E\) = 3 × 103 \(\hat i\) N/C (i.e field is along + direction of x-axis). Surface are, s = (10cm)² = 10^-2m² When plane is parallel to yz plane, θ = 0° ∴ ϕ_E (electric flux) = Es cosθ = 3× 10³ × 10⁻² × cos 0° = 30 Nm²/C.

Consider a uniform electric field \(\vec E\) = 3× 103\(\hat i\) N/C. What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the YZ plane?

Answer»

Here,

\(\vec E\) = 3 × 103 \(\hat i\) N/C

(i.e field is along + direction of x-axis).

Surface are,

s = (10cm)² = 10^-2m²

When plane is parallel to yz plane,

θ = 0°

∴ ϕ_E (electric flux) = Es cosθ

= 3× 10³ × 10⁻² × cos 0°

= 30 Nm²/C.

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Consider a uniform electric field \(\vec E\) = 3× 103\(\hat i\) N/C. What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the YZ plane?

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