Radiation from an Accelerating Charge · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.
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Why accelerating charges glow

Science · Electricity & Magnetism · ages 23-24
Name ______________________   Date ____________
  1. You double the acceleration with the same charge. By what factor does radiated power grow?

    • 2
    • 4
    • 8
  2. Which charge radiates?

    • One that accelerates
    • One sitting still
    • One gliding at steady speed
  3. A charge moving at constant velocity radiates.

    Circle one:   True   False

  4. Why does a radio antenna emit waves?

    • Its electrons sit perfectly still
    • Its electrons are pushed back and forth, always accelerating
    • Its protons do all the moving
  5. How is the radiation arranged around the acceleration?

    • Strongest along the line, zero sideways
    • Equal in every direction
    • Strongest sideways, zero along the line
  6. Electrons and protons move at the same speed through the same magnetic field. Why do the electrons lose far more energy to light?

    • Electrons carry far more charge than protons, so each radiates more
    • The same force gives the much lighter electron a far bigger acceleration
    • Protons are too heavy for magnets to bend at all, so they never radiate light
  7. Ned expects an accelerating charge to radiate most along its line of acceleration and not at all sideways. What is wrong?

    • He used the wrong charge sign
    • He picked too low a speed
    • He reversed the pattern: peak is sideways, zero along
  8. Which of these is a synchrotron radiation source?

    • The Crab Nebula glow
    • A steady battery current
    • A parked bar magnet
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Why accelerating charges glow W1-mt_Qr0rMEOYAg-s1

  1. 4 · Power follows acceleration squared: 2 squared is 4.
  2. One that accelerates · Only changing motion sends out field ripples.
  3. False · Steady motion stays quiet; only acceleration radiates.
  4. Its electrons are pushed back and forth, always accelerating · Repeated pushes mean repeated acceleration, hence waves.
  5. Strongest sideways, zero along the line · The pattern peaks sideways to the acceleration and vanishes along its axis.
  6. The same force gives the much lighter electron a far bigger acceleration · The magnetic force qvB is the same size for both, but the electron is about 1800 times lighter, so its acceleration is far larger. Radiated power grows with acceleration squared.
  7. He reversed the pattern: peak is sideways, zero along · Along the axis the radiation is zero, not at its peak.
  8. The Crab Nebula glow · Fast electrons bent by magnetic fields in the nebula radiate there.
Worksheet · LightMySky