The electric field inside a sphere which carries a charge density proportional to the distance from the origin ρ = α r (α is a constant) is:
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Question

The electric field inside a sphere which carries a charge density proportional to the distance from the origin ρ = α r (α is a constant) is:

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: Option B. In this specific setup, apply the calculation to: The electric field inside a sphere which carries a charge density proportional to the distance from the o.