An infinitely long non-conducting solid cylinder of radius R has uniform volume charge density ρ.At a point inside the cylinder at distance x<R from its axis, the electric-field magnitude is:
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An infinitely long non-conducting solid cylinder of radius R has uniform volume charge density ρ.At a point inside the cylinder at distance x<R from its axis, the electric-field magnitude is:

G1 Physics · Accepted Answer

For a coaxial Gaussian cylinder of radius x and length ℓ, Q e n c Q_enc Q e ​ n c = ρπx²ℓ. Gauss law gives E(2πxℓ) = ρπx²ℓ/ε₀. Therefore, E = ρx/(2ε₀).

An infinitely long non-conducting solid cylinder of radius R has uniform volume charge density ρ.At a point inside the cylinder at distance x&lt;R from its axis, the electric-field magnitude is:

An infinitely long non-conducting solid cylinder of radius R has uniform volume charge density ρ.At a point inside the cylinder at distance x<R from its axis, the electric-field magnitude is: