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1. The period of oscillation of a sinusoidal signal is T=(61±8) ms. What is the

ID: 1537035 • Letter: 1

Question

1. The period of oscillation of a sinusoidal signal is T=(61±8) ms. What is the uncertainty on the frequency?

2. The period of oscillation of a sinusoidal signal is T=(84±4) ms. What is the uncertainty on ln(f) (the natural logarithm of the frequency)?

3. For a sinusoidal voltage waveform with amplitude A=(6.4±0.5) V, what is the error on the VRMS value?

4. In an AC to DC rectifier circuit, the output DC signal of the rectified wave was measured to be VDC= (7.1±0.7)V and its ripple voltage was measured to be Vripple=(0.15±0.03) mV. What is the error on the quality factor of the rectifier?

Explanation / Answer

f = 1/T

ln f = ln [1/T]

df/F = dT/T

df = dT*f/T

= 0.008/0.061^2

= 2.15 Hz