A 47 Ω resistor and a capacitor with a capacitive reactance of 120 Ω are in series across an ac source. What is the circuit impedance, Z?
A. 129 Ω
B. 12.9 Ω
C. 167 Ω
D. 73 Ω
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In the complex plane, the number 4 + j3 is located in the
A. First quadrant
B. Second quadrant
C. Third quadrant
D. Fourth quadrant
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In the complex plane, the number 14 - j5 is located in the
A. First quadrant
B. Second quadrant
C. Third quadrant
D. Fourth quadrant
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The polar form of a complex number consists of a real part and a j part.
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Complex numbers can be added and subtracted but not multiplied or divided.
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In a series RC circuit, 12 V(rms) is measured across the resistor and 15 V(rms) is measured across the capacitor. The rms source voltage is
A. 3 V
B. 27 V
C. 19.2 V
D. 1.9 V
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An ac circuit consists of a resistor and a capacitor. To increase the phase angle above 45°, the following condition must exist:
A. R = XC
B. R > XC
C. R < XC
D. R = 5XC
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A resistor and a capacitor are in series across a 20 V ac source. Circuit impedance is 4.33 kΩ. Current flow in the circuit is
A. 9.2 mA
B. 92 mA
C. 4.6 mA
D. 460 mA
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The power factor (PF) indicates how much of the apparent power is true power.
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A 47 Ω resistor and a capacitor with 150 Ω of capacitive reactance are in series across an ac source. The impedance, expressed in rectangular form, is
A. Z = 47 Ω + j150 Ω
B. Z = 47 Ω - j150 Ω
C. Z = 197 Ω
D. Z = 103 Ω
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A 470 Ω resistor and a 0.2 µF capacitor are in parallel across a 2.5 kHz ac source. The admittance, Y, in rectangular form, is
A. 212 Ω
B. 2.12 mS + j3.14 mS
C. 3.14 mS + j2.12 mS
D. 318.3 Ω
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A 6 kHz sinusoidal voltage is applied to a series RC circuit. The frequency of the voltage across the resistor is
A. 0 Hz
B. 12 kHz
C. 6 kHz
D. 18 kHz
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A complex number represents a phasor quantity.
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The resistor voltage is always out of phase with the current.
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When the frequency of the voltage applied to a series RC circuit is increased, the phase angle
A. Increases
B. Decreases
C. Remains the same
D. Becomes erratic
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A filter passes all frequencies.
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What is the value of the hypotenuse of a right triangle whose sides are 12 and 18?
A. 4.24
B. 3.46
C. 2.16
D. 21.63
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Positive numbers can be represented by points to the right of the origin on the horizontal axis of a graph.
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Point +4 on the complex plane is
A. 4 units above the origin on the j axis
B. 4 units below the origin on the j axis
C. 4 units right of the origin on the real axis
D. 4 units left of the origin on the real axis
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A 120 Ω resistor is in parallel with a capacitor with a capacitive reactance of 40 Ω. Both components are across a 12 V ac source. What is the magnitude of the total impedance?
A. 37.9 Ω
B. 3.7 Ω
C. 14,400 Ω
D. 4,800 Ω
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