# Cheng Fundamentals of Engineering Electromagnetics---Errata

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```							    Cheng: Fundamentals of Engineering Electromagnetics—Errata
Jari J. Hänninen
TKK Department of Radio Science and Engineering
7th April 2008

• In Exercise 2.6 on page 33 it is necessary to determine φ to make ar unique: φ = arctan(4/3) ≈ 53.1◦

• P. 271, P.6-15, the third equation should begin
H2 (R,t) = . . .

• Equation (10-17), p. 432, should read

Pav =     1
2   Re(E × H∗ ) = 1 |Eθ ||Hφ |.
2                     (10-17)

• P. 441, the ﬁrst paragraph: The text before equation (10-47) should actually say that while the maximum radiation
intensity remains the same, the average radiation intensity is halved. Equation (10-47) and the text immediately after it
Umax       Umax
D=          = 1         = 3.28,          (10-47)
2 Pr /4π
Uav
which is twice the directivity of a half-wave antenna. This antenna . . .

• P. 329, second line:   The Brewster angle θB is 83.6◦ .
• P. 329, in b), the second line should have       θi = 83.6◦
√
• P. 329, in b), the third line should have       η2 = 377/ εr2 = 42.1 Ω
• P. 329, in b), the reﬂection and transmission coefﬁcients should read
42.1 cos 83.6◦ − 377 cos 6.38◦
Γ⊥ =                                      = −0.975,
42.1 cos 83.6◦ + 377 cos 6.38◦
2 × 42.1 × cos 83.6◦
τ⊥ =                                     = 0.025.
42.1 cos 83.6◦ + 377 cos 6.38◦

1

```
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