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PRACTICE / Induced electric fields

An induced electric field exists outside the changing field region

A uniform magnetic field normal to a circular region of radius 0.10 m increases at 4.0 T/s. The magnetic field outside that region is negligible.

What is the magnitude of the induced electric field at radius 0.25 m from the centre?

Organize the givens & assumptions
  • Field-region radius R = 0.10 m
  • Observation radius r = 0.25 m
  • |dB/dt| = 4.0 T/s

Axially symmetric prescribed field change, quasistatic idealization; evaluate the tangential induced field around a circular path outside the field region. No conducting loop is required.

  1. A0.20 V/m0.20\ \mathrm{V/m}
  2. B0.080 V/m0.080\ \mathrm{V/m}
  3. C0.50 V/m0.50\ \mathrm{V/m}
  4. D0 V/m0\ \mathrm{V/m}

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