A uniform electric fieldˆˆ ˆ 4E i j k= + + exists in space. Find out the electric flux through asquare ring of edge length 3 m placed in x-z plane
Question
A uniform electric fieldˆˆ ˆ 4E i j k= + + exists in space. Find out the electric flux through asquare ring of edge length 3 m placed in x-z plane
Solution
The electric flux through a surface is given by the dot product of the electric field and the area vector. The area vector is perpendicular to the surface and its magnitude is equal to the area of the surface.
Given that the electric field is E = 4i + 4j + 4k and the square is in the x-z plane, the area vector of the square will be along the y-axis (since it is perpendicular to the x-z plane).
The area of the square, A = side^2 = 3m * 3m = 9 m^2. So, the area vector A = 9j.
The electric flux φ is given by φ = E . A = (4i + 4j + 4k) . (9j) = 4*9 = 36 N.m^2/C.
So, the electric flux through the square ring is 36 N.m^2/C.
Similar Questions
A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin.Determine the electric flux through this surface.
The electric field in a region of space can be expressed by (245i^𝑖^ + 1.30×103j^𝑗^ + 851k^𝑘^) N/C. If a circle of diameter 15.0 cm is placed in the xz-plane of this region, what will be the electric flux through the circle?
The electric field in a region is given as →E=(3ˆi+4ˆj+ˆk)N/C𝐸→=(3𝑖^+4𝑗^+𝑘^) N/C . The flux of this field linked with a square of surface area 10 cm2 kept parallel to x-z plane is
The inward and outward electric flux from a closed surface are respectively 8 × 103 and 4 × 103 units. Then the net charge inside the closed surface is –– 4 × 103 coulomb4 × 103 coulomb–4 × 103 ε0 coulomb
Find the electric flux through the plane surface shown in the figure below if θ = 56°, E = 345 N/C, and d = 4.7 cm. The electric field is uniform over the entire area of the surface and use standard SI units.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.