Quiz 9 solutions

Quiz 9 solutions - is 1 √ 2 = 0.7 of KA The amplitude of...

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Name______________________ Quiz 9 No calculators are permitted for this quiz. 1. Plot the response, versus ω t, of a resistive temperature sensor for which τ = 0.25 seconds and which has a sensitivity of 2 Ω /°C to a sinusoidal input of amplitude 4 °C when ω = 4 rad/sec. ωτ = 0.25 * 4 = 1 KA = 2 Ω /°C * 4 °C = 8 Ω We know that at this point, the amplitude M( ω
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Unformatted text preview: ) is 1/ √ 2 = 0.7 of KA. The amplitude of the output is KAM. KAM( ω ) = 8 * 0.7 = 5.6 Ω We know that the phase delay at ωτ = 1 is 45°. (Delay means shifted rightward – wave comes later than the input.) (This makes sense: φ = -tan-1 ( ωτ ), and if θ = tan-1 (1) then tan θ = 1 = sin θ /cos θ , and these are equal at θ = 45°.) (100 pts)...
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