Maximum of (V/m) at t =0 and z =1/8 (m) Find: Example 8-1 Uniform sinusoidal plane wave propagatind in z- direction in a lossless medium Maximum of (V/m) at t =0 and z =1/8 (m) Find: Instantaneous expressions for E-field; Instantaneous expressions for H-field; Find locations where E is a positive maximum when EEE340 Lecture 32

Solution: a) Wavenumber: Instantaneous expressions for E-field: (rad/m) (rad) EEE340 Lecture 32

c) locations of positive maxima for b) c) locations of positive maxima for EEE340 Lecture 32

§8-2.2 Transverse EM Waves – Plane waves Consider general case of a TEM wave propagating in the directions of is a partial solution of a vector Helmgoltz’s equation If: is an equation of a plane of an equal phase, this plane , direction of the wave propagation EEE340 Lecture 32

Also from and it follows: EEE340 Lecture 32

In the source free and charge free region for the case of TEM waves become EEE340 Lecture 32

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Example 8-2 TEM waves. Find the E-field from a given H filed. EEE340 Lecture 32

Comparison of fields and circuits Circuits Fields Scalars vectors E H k Only for plane waves EEE340 Lecture 32