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Q.

Statement (A) : Ampere’s law states that the line integral of Bdl along a closed path round the current carrying conductor is equal to µ0i  (i is the net current through the surface bounded by the closed path)
Statement (B) : Ampere’s law can be derived from Biot-savart’s law.

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a

A and B are true

b

A is true B is false

c

A is false B is true

d

A and B is false

answer is C.

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Detailed Solution

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Ampere’s law states that the line integral of Bdl along a closed path round the current carrying conductor is equal to µ0i  (i is the net current through the surface bounded by the closed path)

Over an arbitrary closed path,

  Bdl=μ0Iin

Ampere’s circuital law can be derived from Biot-savart’s law.

For a long straight current carrying conductor (applying Biot-Savart law),

B=μoI2πr

ϕ=B·dl=μ0I2πrdl

=μ0I2πrdl=μ0I2πr×2πr=μ0I

both are true.

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