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A 35- μ\mu F capacitor is connected to an ac source of emf with a frequency of 250 Hz and a maximum emf of 20 V.If the voltage across the capacitor is zero at time t = 0, what is the voltage at time t = 3.0 ms? Assume the phase constant is zero.


A) −20 V
B) −10 V
C) 0 V
D) 10 V
E) 20 V

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

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An RLC series circuit, connected to a source , is at resonance.Then:


A) the voltage across R is zero
B) the voltage across R equals the applied voltage
C) the voltage across C is zero
D) the voltage across L equals the applied voltage
E) the applied voltage and current differ in phase by 90 °\degree

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

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A series circuit consists of a 15- Ω\Omega resistor, a 25-mH inductor, and a 35- μ\mu F capacitor.If the frequency is 100 Hz the power factor is:


A) 0
B) 0.20
C) 0.45
D) 0.65
E) 1.0

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

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In the diagram, the function y(t) = ymsin( ω \omega t) is plotted as a solid curve.The other three curves have the form y(t) = ymsin( ω \omega t + ϕ\phi ) , where ϕ\phi is between - π\pi /2 and + π\pi /2.Rank the curves according to the value of ϕ\phi , from the most negative to the most positive.  In the diagram, the function y(t) = y<sub>m</sub>sin(  \omega  t) is plotted as a solid curve.The other three curves have the form y(t) = y<sub>m</sub>sin(  \omega  t +  \phi ) , where  \phi  is between -  \pi /2 and +  \pi /2.Rank the curves according to the value of  \phi , from the most negative to the most positive.   A) 1, 2, 3 B) 2, 3, 1 C) 3, 2, 1 D) 1, 3, 2 E) 2, 1, 3


A) 1, 2, 3
B) 2, 3, 1
C) 3, 2, 1
D) 1, 3, 2
E) 2, 1, 3

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

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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- μ\mu F capacitor.The rms voltage across the capacitor is:


A) 2.5 V
B) 3.4 V
C) 6.7 V
D) 10.0 V
E) 10.8 V

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

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An LC circuit has an inductance of 15 mH and a capacitance of 10 μ\mu F.At one instant the charge on the capacitor is 25 μ\mu C.At that instant the current is changing at the rate:


A) 0 A/s
B) 1.7 * 10-7 A/s
C) 5.9 * 10-3 A/s
D) 3.8 * 10-2 A/s
E) 170 A/s

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

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