Chapter 30: Problem 17
A common configuration of wires has twisted pairs as opposed to straight, parallel wires. What is the technical advantage of using twisted pairs of wires versus straight, parallel pairs?
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Chapter 30: Problem 17
A common configuration of wires has twisted pairs as opposed to straight, parallel wires. What is the technical advantage of using twisted pairs of wires versus straight, parallel pairs?
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Why is RMS power specified for an AC circuit, not average power?
A \(360-\mathrm{Hz}\) source of emf is connected in a circuit consisting of a capacitor, a \(25-\mathrm{mH}\) inductor, and an \(0.80-\Omega\) resistor. For the current and voltage to be in phase what should the value of \(C\) be?
Show that the power dissipated in a resistor connected to an AC power source with frequency \(\omega\) oscillates with frequency \(2 \omega\).
The discussion of \(\mathrm{RL}, \mathrm{RC},\) and \(\mathrm{RLC}\) circuits in this chapter has assumed a purely resistive resistor, one whose inductance and capacitance are exactly zero. While the capacitance of a resistor can generally be neglected, inductance is an intrinsic part of the resistor. Indeed, one of the most widely used resistors, the wire-wound resistor, is nothing but a solenoid made of highly resistive wire. Suppose a wire-wound resistor of unknown resistance is connected to a DC power supply. At a voltage of \(V=10.0 \mathrm{~V}\) across the resistor, the current through the resistor is 1.00 A. Next, the same resistor is connected to an AC power source providing \(V_{\mathrm{rms}}=10.0 \mathrm{~V}\) at a variable frequency. When the frequency is \(20.0 \mathrm{kHz},\) a current, \(I_{\mathrm{rms}}=0.800 \mathrm{~A},\) is measured through the resistor. a) Calculate the resistance of the resistor. b) Calculate the inductive reactance of the resistor. c) Calculate the inductance of the resistor. d) Calculate the frequency of the AC power source at which the inductive reactance of the resistor exceeds its resistance.
In a series RLC circuit, \(V=(12.0 \mathrm{~V})(\sin \omega t), R=10.0 \Omega\) \(L=2.00 \mathrm{H},\) and \(C=10.0 \mu \mathrm{F}\). At resonance, determine the voltage amplitude across the inductor. Is the result reasonable, considering that the voltage supplied to the entire circuit has an amplitude of \(12.0 \mathrm{~V} ?\)
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