Question

▶Derive the expression Of Electric Field inside solid non conducting cylinder( infinite).

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Answer 1

HEY THERE_!

EXPRESSION OF ELECTRIC FIELD INSIDE SOLID NON- CONDUCTING CYLINDER(r<R)

E = pr/2Eo

Where, p is Volume charge density

r is radius of Gaussian surface

Eo is permittivity of free space / vaccum

(refer attachment)

Answer 2

Solution:

• Solid non-conductivity cylinder wire ( ∞ ).
• Charge in whole volume.

P → Charger per unit volume.

Inside r < R

→ Φ τ = Φ1 + Φ2 + Φ3

→ O + O + ¦ E d4 cos o

→ Φ inside/Eo = E × 2π rl

→ QInside/V = P

→ QInside = P × πr² l

→ P × πr² l/εo = E x επr l

→ ε = Pr/2 εo (E ∝ r)

→ r = 0 → r = R → inside Î E Î

→ E side = Pr/2 εo (E ∝ r)

Know Terms:

∞ → Infinity.

Φ → Phi.

ε → Epsilon.

∝ → 'is proportional to'

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