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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. The electric field on the surface of a perfect conductor is 2 V/m. The conductor is immersed in water with ε = 80 ε0. The surface charge density on the conductor is—
    1. 0 c/m2
    2. 2 c/m2
    3. 1.8 × 10– 11 c/m2
    4. 1.41 × 10– 9 c/m2
Correct Option: D

Electric field is given by

E =
σ
ε0

for the system to be immersed in water its dielectric changes form ε0 to 80 ε0 so we get surface charge density as
σ = ε0εr|E| ⇒ 80ε0 E =
80 × 10–9
× 2
36π

= 1.41 × 10–9.



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