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Đề thi cơ sở điện từĐề thi cơ sở điện từĐề thi cơ sở điện từĐề thi cơ sở điện từĐề thi cơ sở điện từĐẠI HỌC QUỐC GIA TP Stu ID Stu Fullname Page 11 Lecturer (Date) Approved by (Date) (Signature Fullname) Dr Vo Que Son (Signature, Position Fullname) (The above part must be hidden when copying fo.

(Date) Lecturer: (Date) Approved by: (Signature & Fullname) (Signature, Position & Fullname) Dr Vo Que Son (The above part must be hidden when copying for exam) Semester/Academic year FINAL EXAM Date Introduction to EM Fields Course title UNIVERSITY OF TECHNOLOGY - VNUHCM Course ID FACULTY OF EEE Duration EE2409 60 mins 2020-2021 19/8/2021 Question sheet code Notes: - Hard-copy reference materials are allowed Digital reference materials are prohibited Problem (L.O.1) (3 marks): A charge density in a one-dimension device is given by: v = 0 z a (C / m3 ) If E=0 at z=0, and V=0 at z=a, find V and E? Problem (L.O.2) (4 marks): A uniform plane wave propagates from region (z0) Given the conditions: • The electric component of the wave in region 1: E( z, t ) = 5e−1z cos(2 x105 t − 1 z )a y (V/m) • Characteristic of region 1: σ1 = 10-6 (S/m), ε1 = 80ε0 (F/m), μ1 = μ0 (H/m), • Characteristic of region 2: σ2 = 10-4 (S/m), ε2 = 5ε0 (F/m), μ2 = μ0 (H/m) Find: a) The reflected electric component in region 1? b) The transmitted magnetic component in region 2? c) The distance d (m) where the phase of the transmitted magnetic component in region is changed by 10π (rad)? d) The attenuation (in Decibel) at the distance d in question c)? Problem (L.O.3) (3 marks): In free space (z≤0) a plane wave with: E( z, t ) = 10cos(108 t −  z )a x (V/m) is normally incident on a perfect dielectric with ε = ε0 and μ=4μ0 in the region z≥0 a) Determine phase constant , reflection coefficient and transmission coefficient? b) Find the reflected and transmitted waves of the magnetic component H(z,t)? c) Find the time-dependent Poynting vector of reflected electromagnetic waves? - END Stu.ID: Stu Fullname: Page 1/1

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