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A charge Q is placed at a distance a/2 above the centre of a horizontal square surface of edge a , while a second charge Q is placed at a distance a below one of the vertices of the square. Find the flux of the electric field through the square?
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A charge Q is placed at a distance a/2 above the centre of a horizonta...
Calculating Electric Flux Through the Square:
- To find the electric flux through the square, we need to first determine the electric field due to each charge at every point on the square surface.
- The electric field due to a point charge at a distance r is given by E = kQ/r^2, where k is the Coulomb constant.
- For the charge Q placed at a distance a/2 above the centre of the square, the electric field at the centre of the square will be E1 = kQ/(a/2)^2.
- For the charge Q placed at a distance a below one of the vertices of the square, the electric field at the centre of the square will be E2 = kQ/a^2.
- Next, we need to calculate the angle between the electric field and the normal to the square surface at the centre of the square for both charges.
- The flux through each face of the square can be calculated using the formula Φ = E * A * cos(θ), where E is the electric field, A is the area of the face, and θ is the angle between E and the normal.
- Finally, the total flux through the square can be found by summing up the flux through each face of the square.
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A charge Q is placed at a distance a/2 above the centre of a horizontal square surface of edge a , while a second charge Q is placed at a distance a below one of the vertices of the square. Find the flux of the electric field through the square?
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