A rectangular surface (0.13 m 0.36 m) is oriented in a uniform electric field of 570 N/C. What is the maximum possible electric flux through the surface?
The maximum flux will occur when the largest area is perpendicular. However, remember the net flux (in flux - outward flux) will be zero unless a charge is inside.
max flux= E*area
To find the maximum possible electric flux through the surface, we can first calculate the electric field passing through the surface.
Given:
Length of the rectangular surface (l) = 0.13 m
Width of the rectangular surface (w) = 0.36 m
Electric field (E) = 570 N/C
Electric flux (Φ) through a surface is given by the formula:
Φ = E * A * cos(θ)
where:
E is the electric field passing through the surface,
A is the area of the surface, and
θ is the angle between the electric field vector and the normal vector of the surface.
In this case, we want to find the maximum possible electric flux. The maximum flux occurs when the electric field is perpendicular to the surface, and cos(θ) will be equal to 1. Therefore, we can ignore the cos(θ) term in this case.
The area of the rectangular surface is given by the formula:
A = l * w
Plugging in the given values:
A = 0.13 m * 0.36 m
A = 0.0468 m²
Now, we can calculate the maximum possible electric flux:
Φ = E * A
Plugging in the values:
Φ = 570 N/C * 0.0468 m²
Φ ≈ 26.616 N·m²/C (rounded to three decimal places)
Therefore, the maximum possible electric flux through the surface is approximately 26.616 N·m²/C.
To find the maximum possible electric flux through the surface, we need to use the formula:
Electric Flux (Φ) = Electric Field (E) * Surface Area (A) * cos(θ)
Where:
- Electric Flux (Φ) is the measure of the electric field passing through the surface.
- Electric Field (E) is the strength of the electric field.
- Surface Area (A) is the area of the surface.
- cos(θ) represents the angle between the electric field vector and the surface.
In this case, the electric field is given as 570 N/C, and the surface is rectangular with dimensions 0.13 m and 0.36 m. However, the angle (θ) is not provided. In order to find the maximum flux, we need to assume that the surface is perpendicular to the electric field.
When a surface is perpendicular to the electric field, the angle (θ) between the electric field vector and the surface is 0 degrees. In this case, cos(θ) = cos(0) = 1.
Now, we can calculate the maximum possible electric flux:
Electric Flux (Φ) = Electric Field (E) * Surface Area (A) * cos(θ)
= 570 N/C * (0.13 m * 0.36 m) * 1
= 26.424 N·m²/C
Therefore, the maximum possible electric flux through the surface is 26.424 N·m²/C.