The diagram shows a uniformly charged hemisphere of radius R. It has volume charge density $\rho$ . If the electric field at a point 2R distance above its center is E then what is the electric field at the point which is 2R below its center?
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Question

The diagram shows a uniformly charged hemisphere of radius R. It has volume charge density $\rho$ . If the electric field at a point 2R distance above its center is E then what is the electric field at the point which is 2R below its center?

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G1 Physics · Accepted Answer

Step 1: Convert the density to charge using dq = ρ dV, dq = λ dl, or dq = σ dA as appropriate. Step 2: Integrate over the stated region and then use Coulomb's law/Gauss's law for the field or flux. Step 3: Apply the given radius/position limits and simplify. Final: B: ρR/12ε₀ - E.

The diagram shows a uniformly charged hemisphere of radius R. It has volume charge density ρ \rho ρ . If the electric field at a point 2R distance above its center is E then what is the electric field at the point which is 2R below its center?