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JEE Main 2022 (28 Jun, Shift 1) · Ampere's Law, Cylinders, Solenoid & Toroid

Ampere's Law, Cylinders, Solenoid & Toroid question from JEE Main 2022 (28 Jun, Shift 1)

Q31JEE Main 2022 · 28 JUN · SHIFT 1Easy

Ampere's Law, Cylinders, Solenoid & Toroid

An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface.

Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.

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Answer: (d)

  1. Inside the hollow cylinder (r<Rr < R) an Amperian loop encloses no current, so B=0B = 0.
  2. Outside (r>Rr > R): B=μ0I2πrB = \dfrac{\mu_0 I}{2\pi r}, maximum at r=Rr = R and falling as 1/r1/r.
  3. So the graph is zero up to RR, jumps to μ0I2πR\dfrac{\mu_0 I}{2\pi R}, then decreases: answer (d).
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