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2 (t) ST ST Problem 8.1 It is known that n(t) - a + bi sin wt + az cos 2ut + as cos dut + ...

2 (t) ST ST Problem 8.1 It is known that n(t) - a + bi sin wt + az cos 2ut + as cos dut + ...

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part (b)

V1 (t) v2 (t) T T 2 4 2 Problem 8.1 It is known that v1 (t) = do + bị sin wt + az cos 2wt + as cos dut +... Vm 2Vm Cos 2ut - 3 2Vm sinwt - cos 4ut -... 155 Verify this Fourier series expansion of a half-wave rectifier circuit by computing some of its Fourier coefficients such as 1 1 "/2 Vm %3D (1) di = Jo 2 bị = 1 7/2 T. V sin wt dt Vm 7 (t) sin st dt T/2 2 en (t) cos 2wt dt 1 2V =. Vm sinwt cos 2wt dt = Jo 3x 2 ei (t) cos dut dt T/2 Vm sinwt cos dut dt = 1 2Vm 15я 4 = Jo Problem 8.2 Translate e (t) by a quarter period and show that: Vm V 2Vm Cos 2t- 3 2V cos dut +... 15m ty(t) + Cos wt + 2 - I-
Transcribed Image Text:V1 (t) v2 (t) T T 2 4 2 Problem 8.1 It is known that v1 (t) = do + bị sin wt + az cos 2wt + as cos dut +... Vm 2Vm Cos 2ut - 3 2Vm sinwt - cos 4ut -... 155 Verify this Fourier series expansion of a half-wave rectifier circuit by computing some of its Fourier coefficients such as 1 1 "/2 Vm %3D (1) di = Jo 2 bị = 1 7/2 T. V sin wt dt Vm 7 (t) sin st dt T/2 2 en (t) cos 2wt dt 1 2V =. Vm sinwt cos 2wt dt = Jo 3x 2 ei (t) cos dut dt T/2 Vm sinwt cos dut dt = 1 2Vm 15я 4 = Jo Problem 8.2 Translate e (t) by a quarter period and show that: Vm V 2Vm Cos 2t- 3 2V cos dut +... 15m ty(t) + Cos wt + 2 - I-
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