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An RLC series circuit is driven by a sinusoidal emf with angular frequency An RLC series circuit is driven by a sinusoidal emf with angular frequency    <sub>d</sub>.If    <sub>d</sub> is increased without changing the amplitude of the emf, the current amplitude increases.If L is the inductance, C is the capacitance, and R is the resistance, this means that: A)     <sub>d</sub>L > 1/   <sub>d</sub>C  B)     <sub>d</sub>L < 1/   <sub>d</sub>C  C)     <sub>d</sub>L = 1/   <sub>d</sub>C  D)     <sub>d</sub>L > R  E)     <sub>d</sub>L < R d.If 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 d is increased without changing the amplitude of the emf, the current amplitude increases.If L is the inductance, C is the capacitance, and R is the resistance, this means that:


A) " 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dL > 1/ 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dC"
B) " 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dL < 1/ 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dC"
C) " 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dL = 1/ 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dC"
D) " 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dL > R"
E) " 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 dL < R"

F) B) and C)
G) All of the above

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An RC series circuit is connected to an emf source having angular frequency An RC series circuit is connected to an emf source having angular frequency    .The current: A) leads the source emf by tan<sup>-1</sup>(1/   CR)  B) lags the source emf by tan<sup>-1</sup>(1/   CR)  C) leads the source emf by tan<sup>-1</sup>(   CR)  D) lags the source emf by tan<sup>-1</sup>(   CR)  E) leads the source emf by    /4 .The current:


A) leads the source emf by tan-1(1/ 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 CR)
B) lags the source emf by tan-1(1/ 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 CR)
C) leads the source emf by tan-1( 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 CR)
D) lags the source emf by tan-1( 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 CR)
E) leads the source emf by 11ef00c9_0386_d8a7_bc85_1b8a7e3174ea_TB6585_11 /4

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

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The angular frequency of a certain RLC series circuit is ω\omega 0.A source of sinusoidal emf, with angular frequency ω\omega , is inserted into the circuit and ω\omega is varied while the amplitude of the source is held constant.For which of the following values of ω\omega is the amplitude of the current oscillations the greatest?


A) " ω\omega 0/5"
B) " ω\omega 0/2"
C) " ω\omega 0"
D) "2 ω\omega 0"
E) "None of them (they all produce the same current amplitude) "

F) None of the above
G) A) and E)

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A capacitor in an LC oscillator has a maximum potential difference of 15 V and a maximum energy of 360 μ\mu J.At a certain instant the energy in the capacitor is 40 μ\mu J.At that instant what is the emf induced in the inductor?


A) 0 V
B) 5 V
C) 10 V
D) 15 V
E) 20 V

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

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C

For a power transmission line, the transmission should be at low current and high voltage because:


A) this is the least dangerous to electrical workers
B) this gives the least dose of electromagnetic radiation to the public
C) this minimizes transmission losses
D) low current and high voltage is easier to transform than high current and low voltage
E) household appliances run at low current and high voltage

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

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A 150-g block on the end of a spring with a spring constant of 35 N/m is pulled aside 25 cm and released from rest.In the electrical analog the initial charge on the capacitor is:


A) 0.15 C
B) 0.25 C
C) 8.8 C
D) 15 C
E) 35 C

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

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In order to maximize the rate at which energy is supplied to a resistive load, the power factor of an RLC circuit should be as close as possible to:


A) 0
B) 0.5
C) 1
D) infinity
E) cannot tell without knowing R, L, C, and the driving frequency

F) All of the above
G) None of the above

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The rms value of a sinusoidal voltage is  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)    , where V0 is the amplitude.What is the rms value of its fully rectified wave? Recall that Vrect(t) = \mid V(t) \mid .  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)


A)  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)
B)  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)
C)  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)
D)  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)
E)  The rms value of a sinusoidal voltage is   , where V<sub>0</sub> is the amplitude.What is the rms value of its fully rectified wave? Recall that V<sub>rect</sub>(t) =   \mid V(t)  \mid .   A)    B)    C)    D)    E)

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

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In an ideal 1:8 step-down transformer, the primary power is 10 kW and the secondary current is 25 A.The primary voltage is:


A) 25,600 V
B) 3200 V
C) 400 V
D) 50 V
E) 6.25 V

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

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A 35- μ\mu F capacitor is connected to an ac source of emf with a frequency of 400 Hz and a maximum emf of 20 V.The maximum current is:


A) 0 A
B) 0.28 A
C) 1.8 A
D) 230 A
E) 1400 A

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

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In a series RLC circuit the rms value of the generator emf is  In a series RLC circuit the rms value of the generator emf is   and the rms value of the current is i.The current lags the emf by  \phi  .The average power supplied by the generator is given by: A) (i   /2) cos  \phi   B) i   C) i<sup>2</sup>/Z D) i<sup>2</sup>Z E) i<sup>2</sup>R and the rms value of the current is i.The current lags the emf by ϕ\phi .The average power supplied by the generator is given by:


A) (i  In a series RLC circuit the rms value of the generator emf is   and the rms value of the current is i.The current lags the emf by  \phi  .The average power supplied by the generator is given by: A) (i   /2) cos  \phi   B) i   C) i<sup>2</sup>/Z D) i<sup>2</sup>Z E) i<sup>2</sup>R /2) cos ϕ\phi
B) i  In a series RLC circuit the rms value of the generator emf is   and the rms value of the current is i.The current lags the emf by  \phi  .The average power supplied by the generator is given by: A) (i   /2) cos  \phi   B) i   C) i<sup>2</sup>/Z D) i<sup>2</sup>Z E) i<sup>2</sup>R
C) i2/Z
D) i2Z
E) i2R

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

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In the circuit shown, switch S is first pushed up to charge the capacitor.When S is then pushed down, the current in the circuit will oscillate at a frequency of: In the circuit shown, switch S is first pushed up to charge the capacitor.When S is then pushed down, the current in the circuit will oscillate at a frequency of:   A) 0.010 Hz B) 12.5 Hz C) 320 Hz D) 2000 Hz E) depends on V<sub>0</sub>


A) 0.010 Hz
B) 12.5 Hz
C) 320 Hz
D) 2000 Hz
E) depends on V0

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

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In a sinusoidally driven series RLC circuit, the inductive resistance is XL = 200 Ω\Omega , the capacitive reactance is XC = 100 Ω\Omega , and the resistance is R = 50 Ω\Omega .The current and applied emf would be in phase if:


A) the resistance is increased to 100 Ω\Omega , with no other changes
B) the resistance is increased to 200 Ω\Omega , with no other changes
C) the inductance is reduced to zero, with no other changes
D) the capacitance is doubled, with no other changes
E) the capacitance is halved, with no other changes

F) C) and D)
G) None of the above

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In a sinusoidally driven series RLC circuit the current lags the applied emf.The rate at which energy is dissipated in the resistor can be increased by:


A) decreasing the capacitance and making no other changes
B) increasing the capacitance and making no other changes
C) increasing the inductance and making no other changes
D) increasing the driving frequency and making no other changes
E) decreasing the amplitude of the driving emf and making no other changes

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

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Consider the mechanical system consisting of two springs and a block, as shown.Which one of the five electrical circuits (I, II, III, IV, V) is the analog of the mechanical system? Consider the mechanical system consisting of two springs and a block, as shown.Which one of the five electrical circuits (I, II, III, IV, V) is the analog of the mechanical system?   A) I B) II C) III D) IV E) V


A) I
B) II
C) III
D) IV
E) V

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

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A

An ac generator producing 10 V (rms) at 200 rad/s is connected in series with a 50- Ω\Omega resistor, a 400-mH inductor, and a 200- Ω\Omega F capacitor.The rms current is:


A) 0.125 A
B) 0.135 A
C) 0.18 A
D) 0.20 A
E) 0.40 A

F) B) and C)
G) All of the above

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Iron, rather than copper, is used in the core of transformers because iron:


A) can withstand a higher temperature
B) has a greater resistivity
C) has a very high permeability
D) makes a good permanent magnet
E) insulates the primary from the secondary

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

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An LC circuit has an oscillation frequency of 105 Hz.If C = 0.1 μ\mu F, then L must be about:


A) 10 mH
B) 1 mH
C) 25 μ\mu H
D) 2.5 μ\mu H
E) 1 pH

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

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A 150-g block on the end of a spring with a spring constant of 35 N/m is pulled aside 25 cm and released from rest.In the electrical analog the maximum charge on the capacitor is 0.25 C.The maximum current in the LC circuit is:


A) 0.025 A
B) 0.12 A
C) 3.8 A
D) 5.3 A
E) 40 A

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

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C

In a purely capacitive circuit the current:


A) leads the voltage by one-fourth of a cycle
B) leads the voltage by one-half of a cycle
C) lags the voltage by one-fourth of a cycle
D) lags the voltage by one-half of a cycle
E) is in phase with the potential difference across the plates

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

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