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Consider an ideal inductor L connected directly to an AC voltage source V, with I being the current in the loop. Summing voltage drops around the loop yields


A) dI/dt=V/Ld I / d t = V / L
B) dV/dt=I/Ld V / d t = I / L
C) dV/dt=L/Id V / d t = L / I
D) dI/dt=L/Vd I / d t = L / V

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A charged 200- μ\mu F capacitor is connected to a 100-mH inductor to form an LC oscillator. The voltage across the inductor oscillates at


A) 210 Hz.
B) 120 Hz.
C) 36 Hz.
D) 82 Hz.

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At high frequencies, the reactances of an inductor and capacitor are


A) both large.
B) large and small, respectively.
C) small and large, respectively.
D) both small.

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A possible clue to question 35 is that the electrical element that exhibits "inertia to the change of the current" is the


A) inductor.
B) capacitor.
C) Either of the previous responses is valid.
D) None of the previous responses is valid.

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An RLC circuit has a 12- Ω\Omega resistor connected to an inductor with 44 Ω\Omega reactance and a capacitor with 21 Ω\Omega reactance. The effective resistance as seen by the source (impedance) is


A) 26 Ω\Omega
B) 12 Ω\Omega
C) 23 Ω\Omega
D) 21 Ω\Omega

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A transformer has 90 turns on the primary coil and 175 turns on the secondary coil. If the AC input current is 5 A, the output current is


A) 2.6 A.
B) 9.7 A.
C) 3.5 A.
D) 7.8 A.

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RMS voltage is related to peak voltage by the equation


A) Vrms = Vpeak.
B) Vrms = Vpeak/ 2\sqrt { 2 } .
C) Vrms = Vpeak/2.
D) Vrms = Vpeak/4.

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The quality factor, Q, of an ideal LC circuit oscillating at ω0=100\omega _ { 0 } = 100 rad/s with an inductor (L) of 120 mH is


A) 120.
B) 6/5.
C) 100
D) infinite.

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The rms emf across an inductor is 5.2 V, and the reactance of the inductor is 0.77 Ω\Omega . The current (rms) through the inductor is


A) 1.5 A.
B) 6.8 A.
C) 510 mA.
D) 150 mA.

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A 45-VAC signal (rms) is present across a 5- Ω\Omega resistor. The time-averaged power dissipated in the resistor is


A) 400 W.
B) 800 W.
C) 200 W.
D) 100 W.

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As the impedance in a simple series AC circuit gets larger, all of the following statements are valid except


A) for a given AC current, the AC voltage increases.
B) for a given AC power, the AC current decreases.
C) for a given AC voltage, the AC current decreases.
D) for a given AC voltage, the AC power increases.

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In an ideal transformer, the output


A) voltage cannot exceed the input voltage.
B) current cannot exceed the input current.
C) power cannot exceed the input power.
D) Each of the previous responses is valid.

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A transformer has 90 turns on the primary coil and 175 turns on the secondary coil. If the input voltage is 120 VAC, the output voltage is


A) 62 VAC.
B) 92 VAC.
C) 230 VAC.
D) 180 VAC.

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In the transfer of electrical energy over power lines, it is desirable to minimize Joule heating. Therefore it is desirable to reduce the


A) resistance.
B) voltage.
C) current.
D) both (a) and (c) .

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The instantaneous power loss in a circuit containing a resistor and an inductor through which DC current flows is given by the formula P = I2 Z. To retain the form of this equation for the case of AC current, it is enough to


A) interpret P as average power.
B) interpret I as rms current.
C) Both of the first two answers are necessary and sufficient.
D) Both of the first two answers are necessary, but they are not sufficient.

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The power factor for an RLC circuit is


A) sin θ\theta .
B) cos θ\theta
C) tan θ\theta
D) cot θ\theta

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The maximum (instantaneous) emf across a capacitor is 160 V and the reactance of the capacitor is 12 Ω\Omega . The maximum current through the capacitor is


A) 22 A.
B) 77 mA.
C) 13 A.
D) 5.2 A.

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The resonant frequency of a 1-H inductor and 1-F capacitor (forming an LC circuit) is


A) 0.16 Hz.
B) 1 Hz.
C) 1.2 Hz.
D) 1.4 Hz.

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In a simple series RC circuit with a sinusoidal driving voltage, the phase relationship for a capacitor is that the


A) current leads the voltage by 90°.
B) voltage leads the current by 90°.
C) Either response might be correct, depending on further details.
D) The voltage and current are in phase.

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In a simple series AC circuit, an explanation for the phase relationship between current and voltage for a capacitor is that the voltage across a capacitor is proportional to


A) the current.
B) the time integral of the current.
C) the time derivative of the current.
D) none of the above.

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