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NEET 2019 · Ampere's Law, Cylinders, Solenoid & Toroid

Ampere's Law, Cylinders, Solenoid & Toroid question from NEET 2019

Q51NEET 2019Easy

Ampere's Law, Cylinders, Solenoid & Toroid

A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field B with the distance d from the centre of the conductor, is correctly represented by the figure:

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Answer: (c)

  1. Uniform current: inside B=μ0Id2πR2∝dB = \frac{\mu_0 I d}{2\pi R^2} \propto d.
  2. Outside: B=μ0I2πd∝1dB = \frac{\mu_0 I}{2\pi d} \propto \frac{1}{d}.
  3. So the graph is a straight line up to d=Rd = R, then a 1/d1/d fall: answer (c).
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