The drawing shows an edge-on view of two planar surfaces thatintersect and are mutually perpendicular. Surface 1 has an area of 1.7 m^2, while surface 2 san area of 3.2 m^2. The electric field in the drawing is uniform andhas a magnitude of 250 N/C. Find the electrical flux through surface 1 and surface 2
I have tried to do the problem multiple amounts of time but I never seem to get the correct answer. For surface 1 its suppose to be 350 Nm^2/c and surface 2 is suppose to be 460 Nm^2/c. This is what I have gotten so far:
1: EACos(pheta) 250(1.7)(cos 55)= 9.4028 Nm^2/c
2: EACose(pheta) 250(3.2)(cos 35)= -722.95
1.) flux = E * A * cos(35)
2.) flux = E * A * sin(35)
To find the electrical flux through surface 1 and surface 2, you need to use the formula:
Flux = E * A * cos(theta)
Where:
- Flux is the electrical flux through the surface
- E is the magnitude of the electric field
- A is the area of the surface
- theta is the angle between the electric field vector and the surface normal vector
For surface 1:
- Given: E = 250 N/C, A = 1.7 m^2
- The angle between the electric field and the surface normal is not mentioned, so we need to find it. However, the problem states that surface 1 is perpendicular to surface 2, so the angle between the two surfaces must be 90 degrees.
- Since surface 1 and surface 2 intersect and are mutually perpendicular, the angle between the electric field and surface 1 is also 90 degrees. Therefore, cos(theta) = cos(90) = 0.
- Plugging the values into the formula: Flux = 250 N/C * 1.7 m^2 * 0 = 0 Nm^2/C.
For surface 2:
- Given: E = 250 N/C, A = 3.2 m^2
- The angle between the electric field and the surface normal is not mentioned.
- But since surface 1 and surface 2 intersect and are mutually perpendicular, the angle between the electric field and the surface 2 normal is also 90 degrees. Therefore, cos(theta) = cos(90) = 0.
- Plugging the values into the formula: Flux = 250 N/C * 3.2 m^2 * 0 = 0 Nm^2/C.
It appears that the given answer of 350 Nm^2/C for surface 1 and 460 Nm^2/C for surface 2 may be incorrect. Double-check the problem statement or consult your instructor or textbook to clarify.