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PRACTICE / Induced electric fields

The changing area stops at the field edge

A uniform magnetic field along +z is confined to a circular region of radius 0.10 m and increases at 4.0 T/s. Compare the induced electric-field magnitudes at concentric radii r₁=0.050 m and r₂=0.20 m.

What is |E₂|/|E₁|?

Organize the givens & assumptions
  • Field-region radius: 0.10 m
  • dB_z/dt=4.0 T/s
  • Observation radii: 0.050 m and 0.20 m

Ideal cylindrical symmetry; induced field only; disregard edge fringing and additional electrostatic fields. No conducting ring is needed.

  1. A44
  2. B0.250.25
  3. C22
  4. D11

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