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Find the resonant frequency for a series RLC circuit where R = 10Ω, C = 5.00 μF, and L = 2.00 mH.


A) 998 Hz
B) 1.59 kHz
C) 2.45 kHz
D) 11.3 kHz
E) 2.53 kHz

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

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All three circuits below have R = 100 Ω, C = 1.0 mF and emf ε = (5.0 V) sin (377 t) . The inductors in (B) and (C) are placed sufficiently far apart so that they do not alter one another's inductance. Such inductors add combine like resistors. Which statement regarding the angular resonance frequencies ωA, ωB and ωC is correct? All three circuits below have R = 100 Ω, C = 1.0 mF and emf ε = (5.0 V)  sin (377 t) . The inductors in (B)  and (C)  are placed sufficiently far apart so that they do not alter one another's inductance. Such inductors add combine like resistors. Which statement regarding the angular resonance frequencies ω<sub>A</sub>, ω<sub>B</sub> and ω<sub>C</sub> is correct?   A)  ω<sub>C</sub> > ω<sub>A</sub> = ω<sub>B</sub> B)  ω<sub>C</sub> < ω<sub>A</sub> = ω<sub>B</sub> C)  ω<sub>A</sub> = ω<sub>B</sub> = ω<sub>C</sub> D)  ω<sub>B</sub> < ω<sub>A</sub> = ω<sub>C</sub> E)  ω<sub>B</sub> > ω<sub>A</sub> = ω<sub>C</sub>


A) ωC > ωA = ωB
B) ωC < ωA = ωB
C) ωA = ωB = ωC
D) ωB < ωA = ωC
E) ωB > ωA = ωC

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

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The average power input to a series alternating current circuit is minimum when


A) there are only a resistor and capacitor in the circuit.
B) there are only a resistor and inductor in the circuit.
C) there is only a resistor in the circuit.
D) XL = XC and the circuit contains a resistor, an inductor and a capacitor.
E) there is only a capacitor in the circuit.

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

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An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet. Calculate the resistance of the heater and the rms current.


A) 11Ω, 10 A (rms)
B) 110Ω, 10 A (rms)
C) 10Ω, 11 A (rms)
D) 10Ω, 110 A (rms)
E) 0.09Ω, 11 A (rms)

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

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For driving voltage V = Vm sin ωt, the current through the resistor is For driving voltage V = V<sub>m</sub> sin ωt, the current through the resistor is   A)  V<sub>m</sub> sin (ωt + φ)  B)  V<sub>m</sub> cos (ωt + φ)  C)    sin (ωt + φ)  D)    sin (ωt + φ)  E)    sin ωt


A) Vm sin (ωt + φ)
B) Vm cos (ωt + φ)
C)
For driving voltage V = V<sub>m</sub> sin ωt, the current through the resistor is   A)  V<sub>m</sub> sin (ωt + φ)  B)  V<sub>m</sub> cos (ωt + φ)  C)    sin (ωt + φ)  D)    sin (ωt + φ)  E)    sin ωt sin (ωt + φ)
D)
For driving voltage V = V<sub>m</sub> sin ωt, the current through the resistor is   A)  V<sub>m</sub> sin (ωt + φ)  B)  V<sub>m</sub> cos (ωt + φ)  C)    sin (ωt + φ)  D)    sin (ωt + φ)  E)    sin ωt sin (ωt + φ)
E)
For driving voltage V = V<sub>m</sub> sin ωt, the current through the resistor is   A)  V<sub>m</sub> sin (ωt + φ)  B)  V<sub>m</sub> cos (ωt + φ)  C)    sin (ωt + φ)  D)    sin (ωt + φ)  E)    sin ωt sin ωt

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

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