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PhysicsEasyMCQ2022 ยท 25 Jun Shift 1

Q10.A long straight wire with a circular cross-section having radius ๐‘…, is carrying a steady current ๐ผ. The current ๐ผ is uniformly distributed across this cross-section. Then the variation of magnetic field due to current ๐ผ with distance ๐‘Ÿ๐‘Ÿ< ๐‘… from its centre will be (1) ๐ตโˆ๐‘Ÿ (2) ๐ตโˆ1 ๐‘Ÿ 1 (3) ๐ตโˆ๐‘Ÿ2 (4) ๐ตโˆ ๐‘Ÿ2

What This Question Tests

This question tests the ability to recall the relationship between the magnetic field and distance inside a long straight wire carrying uniform current, derived from Ampere's Law.

Concepts Tested

Ampere's Circuital LawMagnetic field inside a conductor

Formulas Used

B = (ฮผโ‚€Ir) / (2ฯ€R^2) for r < R

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