Skip to content
Question of 46

Q.What are electromagnetic waves? Draw their propagation diagram. Show the electric field amplitude and magnetic field amplitude in propagation diagram.

Uttar Pradesh UpmspUP Board (UPMSP) Intermediate 2024Subjective· 3mImportance★★★★★
0% · 0/46 Questions
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →
Figure — The stem hard-gates 'Draw their propagation diagram' showing the E and B amplitudes of an EM wave; the catalog
Figure — The stem hard-gates 'Draw their propagation diagram' showing the E and B amplitudes of an EM wave; the catalog

An EM wave is a transverse wave in which oscillating E⃗\vec E and B⃗\vec B fields, perpendicular to each other and to the propagation direction, travel together through vacuum at cc, with E0=cB0E_0=cB_0.

Definition. Electromagnetic waves are waves produced by accelerating charges, consisting of oscillating electric and magnetic fields that are mutually perpendicular and also perpendicular to the direction of propagation (hence transverse). They need no material medium and travel through vacuum at

c=1μ0ε0≈3×108 m/s.c=\frac{1}{\sqrt{\mu_0\varepsilon_0}}\approx3\times10^{8}\ \text{m/s}.

Propagation diagram (description). Take the wave travelling along the +x+x-axis. Then:

  • The electric field E⃗\vec E oscillates along the yy-axis: Ey=E0sin⁡(kx−ωt)E_y=E_0\sin(kx-\omega t).
  • The magnetic field B⃗\vec B oscillates along the zz-axis: Bz=B0sin⁡(kx−ωt)B_z=B_0\sin(kx-\omega t).
  • E⃗\vec E and B⃗\vec B are in phase, at right angles to each other, and E⃗×B⃗\vec E\times\vec B points along the direction of propagation (xx).

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.