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Chapter 28: Problem 33
A \(40-\) W fluorescent lamp has power factor 0.85 and operates from the \(120-\mathrm{V}\) rms AC power line. How much current does it draw?
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Two AC signals have the same amplitude but different frequencies. Are their rms amplitudes the same?
Connections to the body for electrocardiography (ECG) and electroencephalography (EEG) are normally made with metal electrodes and conductive gels to ensure good electrical contact. An alternative is the capacitively coupled noncontact electrode, which uses a conductor near but not contacting the skin, to form a capacitor. Clothing can serve as the capacitor's insulation, eliminating skin contact. A particular EEG instrument calls for capacitive electrodes with maximum reactance \(10 \mathrm{M} \Omega\) at a typical EEG beta wave frequency of \(25 \mathrm{Hz}\). What's the minimum electrode capacitance?
A series \(R L C\) circuit has \(R=75 \mathrm{k} \Omega, L=20 \mathrm{mH},\) and resonates at \(4.0 \mathrm{kHz}\). (a) What's the capacitance? (b) Find the circuit's impedance at resonance and (c) at \(3.0 \mathrm{kHz}\)
A triangle wave swings linearly between voltages \(-V_{\mathrm{p}}\) and \(+V_{\mathrm{p}}\) Show that the rms voltage of a triangle wave is \(V_{\mathrm{p}} / \sqrt{3}\)
A 2.0 - \(\mu\) F capacitor has 1.0 -k \(\Omega\) reactance. (a) What's the frequency of the applied voltage? (b) What inductance would give the same reactance at this frequency? (c) How would the reactances compare if the frequency were doubled?
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