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A galvanometer has a coil with a resistance of 24.0Ω24.0 \Omega , and a current of 180μA180 \mu \mathrm { A } causes full-scale deflection. If the galvanometer is to be used to construct an ammeter that deflects full scale for 10.0 A10.0 \mathrm {~A} , what shunt resistor is required?


A) 423μΩ423 \mu \Omega
B) 432μΩ432 \mu \Omega
C) 234μΩ234 \mu \Omega
D) 342μΩ342 \mu \Omega

E) B) and C)
F) A) and D)

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The power factor of an ac RLR L circuit with a 100Ω100 - \Omega resistor and a certain inductor is 0.600.60 . What is the impedance of the circuit?


A) 100Ω100 \Omega
B) 170Ω170 \Omega
C) 85Ω85 \Omega
D) 340Ω340 \Omega
E) 60Ω60 \Omega

F) A) and C)
G) C) and D)

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Identical ideal batteries are connected in different arrangements to the same light bulb, as shown in the figure. For which arrangement will the bulb shine the brightest?  Identical ideal batteries are connected in different arrangements to the same light bulb, as shown in the figure. For which arrangement will the bulb shine the brightest?    A)   \mathrm { A }  B)   B  C)   \mathrm { C }


A) A\mathrm { A }
B) BB
C) C\mathrm { C }

D) A) and B)
E) All of the above

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A circular conducting loop with a radius of 0.50 m0.50 \mathrm {~m} and a small gap filled with a 10.0Ω10.0 - \Omega resistor is oriented in the xyx y -plane. If a uniform magnetic field of 1.0 T1.0 \mathrm {~T} , making an angle of 3030 ^ { \circ } with the zz -axis, increases to 10.0 T10.0 \mathrm {~T} , in 4.0 s4.0 \mathrm {~s} , what is the magnitude of the current that will be caused to flow in the loop if it has negligible resistance?


A) 0 A0 \mathrm {~A}
B) 0.01530393 A0.01530393 \mathrm {~A}
C) 0.15303932 A0.15303932 \mathrm {~A}
D) 0.08835729 A0.08835729 \mathrm {~A}

E) A) and B)
F) B) and C)

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The mutual inductance between two coils is 10 mH. The current in the first coil changes uniformly from 2.7 A to 5.0 A in 160 ms. If the second coil has a resistance of 0.60 Ω, what is the magnitude of the induced current in the second coil?

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Inductors cannot store energy because they cannot store charge.

A) True
B) False

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As shown in the figure, a metal bar is in contact with a pair of parallel rails. A steady, uniform, magnetic field BB is present directed to the right. The bar is moving upward with velocity of magnitude vv . What is the polarity of the induced emf in terminals XX and YY ?  As shown in the figure, a metal bar is in contact with a pair of parallel rails. A steady, uniform, magnetic field  B  is present directed to the right. The bar is moving upward with velocity of magnitude  v . What is the polarity of the induced emf in terminals  X  and  Y  ?    A)   Y  is positive and  X  is negative. B)   X  is positive and  Y  is negative. C)   X  and  Y  are at the same potential.


A) YY is positive and XX is negative.
B) XX is positive and YY is negative.
C) XX and YY are at the same potential.

D) A) and C)
E) A) and B)

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A series RLCR L C circuit has a 100Ω100 - \Omega resistor, a 0.100μF0.100 - \mu \mathrm { F } capacitor and a 2.00mH2.00 - \mathrm { mH } inductor connected across a 120-V rms ac voltage source operating at 1000/πHz1000 / \pi \mathrm { Hz } . What is the resonant frequency of this circuit?


A) 70.7kHz70.7 \mathrm { kHz }
B) 17.9kHz17.9 \mathrm { kHz }
C) 22.5kHz22.5 \mathrm { kHz }
D) 11.3kHz11.3 \mathrm { kHz }
E) 35.3kHz35.3 \mathrm { kHz }

F) A) and C)
G) B) and C)

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In the circuit shown in the figure, the resistor RR has a variable resistance. As RR is decreased, what happens to the currents?  In the circuit shown in the figure, the resistor  R  has a variable resistance. As  R  is decreased, what happens to the currents?    A)   I _ { 1 }  decreases and  I _ { 2 }  increases. B)   I _ { 1 }  increases and  I _ { 2 }  decreases. C)   I _ { 1 }  decreases and  I _ { 2 }  decreases. D)   I _ { 1 }  remains unchanged and  I _ { 2 }  increases. E)   I _ { 1 }  increases and  I _ { 2 }  increases.


A) I1I _ { 1 } decreases and I2I _ { 2 } increases.
B) I1I _ { 1 } increases and I2I _ { 2 } decreases.
C) I1I _ { 1 } decreases and I2I _ { 2 } decreases.
D) I1I _ { 1 } remains unchanged and I2I _ { 2 } increases.
E) I1I _ { 1 } increases and I2I _ { 2 } increases.

F) B) and C)
G) A) and E)

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A round flat conducting loop is placed perpendicular to a uniform 0.50 T0.50 \mathrm {~T} magnetic field. If the area of the loop increases at a rate of 3.0×103 m2/s3.0 \times 10 ^ { - 3 } \mathrm {~m} ^ { 2 } / \mathrm { s } , what is the induced emf in the loop?


A) 4.3mV4.3 \mathrm { mV }
B) 0mV0 \mathrm { mV }
C) 5.5mV5.5 \mathrm { mV }
D) 1.7mV1.7 \mathrm { mV }
E) 1.5mV1.5 \mathrm { mV }

F) B) and D)
G) C) and E)

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An ideal solenoid has a self-inductance LL . If you now double its radius and its length, but do not change the number of coils, what will its self-inductance be?


A) LL
B) L/4L / 4
C) 4L4 L
D) L/2L / 2
E) 2L2 L

F) All of the above
G) A) and E)

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Two resistors with resistances of 5.0Ω5.0 \Omega and 9.0Ω9.0 \Omega are connected in parallel. A 4.0- Ω\Omega resistor is then connected in series with this parallel combination. An ideal 6.0-V battery is then connected across the series-parallel combination. What is the current through (a) the 4.0Ω4.0 - \Omega resistor and (b) the 5.0Ω5.0 - \Omega resistor?

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(a) 0.83 A...

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A 9-V battery is hooked up to two resistors in series using wires of negligible resistance. One has a resistance of 5Ω5 \Omega , and the other has a resistance of 10Ω10 \Omega . Several locations along the circuit are marked with letters, as shown in the figure. Which statements about this circuit are true? (There could be more than one correct choice.)  A 9-V battery is hooked up to two resistors in series using wires of negligible resistance. One has a resistance of  5 \Omega , and the other has a resistance of  10 \Omega . Several locations along the circuit are marked with letters, as shown in the figure. Which statements about this circuit are true? (There could be more than one correct choice.)     A)  The current is exactly the same at points A, B, C, and D. B)  The potential at  B  is equal to the potential at  C . C)  The current at  A  is greater than the current at  B , which is equal to the current at  C , which is greater than the current at D. D)  The potential at  D  is equal to the potential at  C . E)  The current at  \mathrm { A }  is greater than the current at  \mathrm { B } , which is greater than the current at  \mathrm { C } , which is greater than the current at  D .


A) The current is exactly the same at points A, B, C, and D.
B) The potential at BB is equal to the potential at CC .
C) The current at AA is greater than the current at BB , which is equal to the current at CC , which is greater than the current at D.
D) The potential at DD is equal to the potential at CC .
E) The current at A\mathrm { A } is greater than the current at B\mathrm { B } , which is greater than the current at C\mathrm { C } , which is greater than the current at DD .

F) A) and C)
G) B) and E)

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A group of 1.0μF,2.0μF1.0 - \mu \mathrm { F } , 2.0 - \mu \mathrm { F } , and 3.0μF3.0 - \mu \mathrm { F } capacitors is connected in parallel across a 24V24 - \mathrm { V } potential difference (a battery) . How much energy is stored in this three-capacitor combination when the capacitors are fully charged?


A) 2.1 mJ2.1 \mathrm {~mJ}
B) 1.7 mJ1.7 \mathrm {~mJ}
C) 4.8 mJ4.8 \mathrm {~mJ}
D) 7.1 mJ7.1 \mathrm {~mJ}

E) A) and C)
F) B) and D)

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A flat rectangular coil with dimensions of 8.0 cm×10 cm8.0 \mathrm {~cm} \times 10 \mathrm {~cm} is dropped from a zero magnetic field position into a 1.4-T magnetic field in 0.10 s0.10 \mathrm {~s} . The coil has 60 turns and is perpendicular to the magnetic field. What is the average induced emf in the coil as a result of this action?


A) 3.6 V3.6 \mathrm {~V}
B) 6.7 V6.7 \mathrm {~V}
C) 2.4 V2.4 \mathrm {~V}
D) 0 V0 \mathrm {~V}
E) 8.6 V8.6 \mathrm {~V}

F) A) and D)
G) A) and C)

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A galvanometer with a coil resistance of 40.0Ω40.0 \Omega deflects full scale for a current of 2.0 mA2.0 \mathrm {~mA} . What series resistance should be used with this galvanometer in order to construct a voltmeter that deflects full scale for 50 V50 \mathrm {~V} ?


A) 27kΩ27 \mathrm { k } \Omega
B) 29kΩ29 \mathrm { k } \Omega
C) 31kΩ31 \mathrm { k } \Omega
D) 25kΩ25 \mathrm { k } \Omega

E) None of the above
F) All of the above

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The impedance of an RCR C circuit containing a 40.0μF40.0 - \mu \mathrm { F } capacitor is 800Ω800 \Omega . If the frequency of the applied ac voltage is 18.0 Hz18.0 \mathrm {~Hz} , what is the resistance of the resistor?


A) 769Ω769 \Omega
B) 800Ω800 \Omega
C) 569Ω569 \Omega
D) 669Ω669 \Omega
E) 869Ω869 \Omega

F) A) and E)
G) C) and D)

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In the circuit shown in the figure, the 60Hz60 - \mathrm { Hz } ac source has a voltage amplitude of 120 V120 \mathrm {~V} , the capacitive reactance is 750Ω750 \Omega , the inductive reactance is 290Ω290 \Omega , and the resistance is 500Ω500 \Omega . What is the inductance LL of the inductor?  In the circuit shown in the figure, the  60 - \mathrm { Hz }  ac source has a voltage amplitude of  120 \mathrm {~V} , the capacitive reactance is  750 \Omega , the inductive reactance is  290 \Omega , and the resistance is  500 \Omega . What is the inductance  L  of the inductor?    A)   3700 \mathrm { mH }  B)   1700 \mathrm { mH }  C)   4800 \mathrm { mH }  D)   2900 \mathrm { mH }  E)   770 \mathrm { mH }


A) 3700mH3700 \mathrm { mH }
B) 1700mH1700 \mathrm { mH }
C) 4800mH4800 \mathrm { mH }
D) 2900mH2900 \mathrm { mH }
E) 770mH770 \mathrm { mH }

F) A) and B)
G) A) and C)

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A 60.0μF60.0 - \mu \mathrm { F } capacitor is in series with a 100Ω100 - \Omega resistor connected across an ac source of frequency 120 Hz120 \mathrm {~Hz} . What is the phase angle?


A) 77.6- 77.6 ^ { \circ }
B) 12.5- 12.5 ^ { \circ }
C) +12.5+ 12.5 ^ { \circ }
D) 90.090.0 ^ { \circ }
E) +77.6+ 77.6 ^ { \circ }

F) D) and E)
G) C) and E)

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A 120V120 - \mathrm { V } rms signal at 60.0 Hz60.0 \mathrm {~Hz} is applied across a series combination of a 30.0mH30.0 - \mathrm { mH } inductor and a resistor. If the rms value of the current in this circuit is 0.600 A0.600 \mathrm {~A} , what is the resistance of the resistor?


A) 143Ω143 \Omega
B) 30.0Ω30.0 \Omega
C) 200Ω200 \Omega
D) 80.0Ω80.0 \Omega
E) 268Ω268 \Omega

F) A) and E)
G) B) and D)

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