Question

A filter has the transfer function H(S) = s+2007 If the input to the filter is v;(t) = 1 + 0.5sin(204t) + 0.1sin(2000xt) V, which of the following is the correct output? (if you see a "p", those should all be pi) All figures show vo(t) in V on the y-axis and t on the x-axis. Be careful, the figures have different scales for both the X- and y-axes. The figure numbers may not be real clear, but they are numbered (i), (ii), (iii), ... from top left to bottom right. Pick (v) if you think none are correct. 2 1.8 16 1.5 14 1.2) w 1 es 0.B OG 05 044 0.02 004 0.06 (s) 0.02 0.04 0.06 0.0001 93) 0.02 0.04 0.06 0.00 01 M 0.05 .M o 0.1 02 0406

Answer 1

H(s's s S+2000 a vicha 140-5 sinfectif) + - Sin (2008 it) L d Filone I DC Host S f = 1000 Hz S(1+ Boot 3 It a 2000 Jw 1-TL0011 pie Cut off frequency ( >> Soon) |tfool at arboot & as wincreaser, (+5) = , So This is a High pass filter withe cq=root effe. 200ot il fr=100 HZ Input Signal has frequencies o, 10, 1000+12. So, only Signal passes through the filter, output... Soo oolput się figure it) We Can observe the time period it is in Milli Seconds los Time period Taims ) once cycle should be 1000 H2 Completed in 0.001 sec.

Amplitude is also same as input i.e peak to peak is 0.2 v as at 1000Hz the amplitude of filter is approximately 1

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