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The electric field on the surface of a perfect conductor is 2V/m. The conductor is immersed in water with ε = 80 ε0. The surface charge density on the conductor is ((ε0 = 10-9/36
p
)F/m)
  • a)
    0 c/m2
  • b)
    2 c/m2
  • c)
    1.8 x 10-11 c/m2
  • d)
    1.14 x 10-9 c/m2
Correct answer is option 'D'. Can you explain this answer?
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Given:
Electric field on the surface of a perfect conductor (E) = 2 V/m
Permittivity of water (ε) = 80 ε0
Permittivity of free space (ε0) = 10-9/36π F/m

To find: Surface charge density on the conductor

Formula:
The electric field at the surface of a perfect conductor is given by:
E = σ/ε0
Where,
E = Electric field (V/m)
σ = Surface charge density (C/m2)
ε0 = Permittivity of free space (F/m)

Assumption:
Assuming the conductor is a sphere, we can consider the electric field as the same on the entire surface of the conductor.

Calculation:
Given E = 2 V/m
ε0 = 10-9/36π F/m
σ = ?

Using the formula for electric field, we can rearrange it to solve for σ:
σ = E * ε0

Substituting the given values:
σ = 2 * (10-9/36π)

Now we can simplify the expression:

σ = 2 * 10-9 / (36π)
= 20 * 10-9 / (36π)
= 5 * 2 * 10-9 / (36π)
= 5 * (2/36π) * 10-9
= 5 * (1/18π) * 10-9
= (5/18π) * 10-9

Approximating the value of π as 3.14:
σ ≈ (5/18 * 3.14) * 10-9
≈ (0.872/18) * 10-9
≈ 0.04844 * 10-9
≈ 4.844 * 10-11 C/m2

Therefore, the surface charge density on the conductor is approximately 4.844 * 10-11 C/m2, which is closest to option D: 1.14 x 10-9 C/m2.
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The electric field on the surface of a perfect conductor is 2V/m. The conductor is immersed in water with ε = 80 ε0. The surface charge density on the conductor is ((ε0 = 10-9/36p)F/m)a)0 c/m2b)2 c/m2c)1.8 x 10-11 c/m2d)1.14 x 10-9 c/m2Correct answer is option 'D'. Can you explain this answer?
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The electric field on the surface of a perfect conductor is 2V/m. The conductor is immersed in water with ε = 80 ε0. The surface charge density on the conductor is ((ε0 = 10-9/36p)F/m)a)0 c/m2b)2 c/m2c)1.8 x 10-11 c/m2d)1.14 x 10-9 c/m2Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The electric field on the surface of a perfect conductor is 2V/m. The conductor is immersed in water with ε = 80 ε0. The surface charge density on the conductor is ((ε0 = 10-9/36p)F/m)a)0 c/m2b)2 c/m2c)1.8 x 10-11 c/m2d)1.14 x 10-9 c/m2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field on the surface of a perfect conductor is 2V/m. The conductor is immersed in water with ε = 80 ε0. The surface charge density on the conductor is ((ε0 = 10-9/36p)F/m)a)0 c/m2b)2 c/m2c)1.8 x 10-11 c/m2d)1.14 x 10-9 c/m2Correct answer is option 'D'. Can you explain this answer?.
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