Homework 1 4th question

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Give expressions for the sine-wave voltage signals having a) 10V peak amplitude and 1kHz frequency

Fist step

Pick Vp and ω. Here Vp = 10, f = 1000 Hz → ω = 2π·1000

Answer (plugged in)?
A: v(t) = 10 · sin(2π · 1000 · t) V

2
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120Vrms and 60Hz frequency 1st STEP?

Convert Vrms → Vp.

3
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120Vrms and 60Hz frequency 2nd STEP?

Vp = Vrms·√2 = 120·√2 ≈ 169.7056; ω = 2π·60.

4
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0.2 Vpp, ω = 2000 rad/s 1st step,

convert Vpp to Vp