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(A): Electric field cannot exist inside a perfect conductor.
(R): For a perfect conductor σ = ∞ and there is no voltage drop inside the conductor.
  • a)
    Both A and R are true and R is a correct explanation of A
  • b)
    Both A and R are true but R is not a correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
(A): Electric field cannot exist inside a perfect conductor.(R): For a...
(A) is true: Inside a perfect conductor, the electric field cannot exist in the steady state. This is because a perfect conductor has zero electrical resistivity, and any electric field that tries to penetrate the conductor would induce an infinite current, which is not possible in practice. Therefore, the electric field inside a perfect conductor is always zero.
(R) is true and is a correct explanation of (A): A perfect conductor is characterized by an infinite electrical conductivity (σ = ∞). For a perfect conductor, the relationship between electric field (E), current density (J), and conductivity (σ) is given by Ohm's law: J = σE.
If σ is infinite (σ = ∞), then the current density (J) must be zero (J = 0) to maintain a finite electric field (E). Since electric field (E) is related to the voltage drop (ΔV) as E = ΔV/d (where d is the distance), if electric field (E) is zero, there is no voltage drop inside the conductor.
Hence, both statements (A) and (R) are true, and (R) provides a correct explanation for why (A) is true. The correct answer is option A.
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Community Answer
(A): Electric field cannot exist inside a perfect conductor.(R): For a...
Explanation:
Electric field cannot exist inside a perfect conductor because the free charges in the conductor will rearrange themselves in such a way that cancels out any electric field inside. This leads to a condition where the electric field inside the conductor is zero.

Reasoning:
For a perfect conductor, the conductivity (σ) is infinite, which implies that the electric field inside the conductor is zero. This is because in a perfect conductor, any applied electric field will cause the free charges to move indefinitely until the electric field is canceled out. As a result, there is no voltage drop inside the conductor.
Therefore, both statements are true. The first statement explains why electric field cannot exist inside a perfect conductor, while the second statement provides the reason for the absence of a voltage drop inside the conductor. So, statement R is a correct explanation of statement A.
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(A): Electric field cannot exist inside a perfect conductor.(R): For a perfect conductor σ = ∞ and there is no voltage drop inside the conductor.a)Both A and R are true and R is a correct explanation of Ab)Both A and R are true but R is not a correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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