A spherical cavity is excised from the inside of the sphere. The cavity has radius a/4 and is centered at position  ℎ→, where |ℎ→|<3a/4, so that the entire cavity is contained within the larger sphere. Find the electric field inside the cavity. trying to find as a vector in terms of any or all of ρ (Greek letter rho), ϵ0, r→, and h

A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).

A uniform electric field of magnitude 5.5 x 104 N/C passes through the plane of a square sheet with sides 9.0 m long. Calculate the flux (in Nm²/C) through the sheet if the plane of the sheet is at an angle of 30° to the field. Find the flux for both directions of the unit normal to the sheet. unit normal with component parallel to electric field Nm²/C unit normal with component antiparallel to electric field Nm²/c Additional Materials

A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is immersed in a uniform electric field of magnitude 55.0 N/C that is directed at 20 degrees from the plane of the sheet (Figure 1). Find the magnitude of the electric flux through the sheet. Express your answer with the appropriate units.