A resistor (R), capacitor (C), and inductor (L) are connected in series across an AC generator v, = Vm sin (27tft). Which of the following statements is false? O The rms voltage across the combination of the three elements equals the algebraic sum of the rms voltages across each element separately O The instantaneous voltage across the capacitor lags the current by 90° O The instantaneous voltage across the inductor leads the current by 90° O The voltages across the resistor, capacitor, and inductor are not in phase.
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- The output voltage of an AC generator is given by Av = (130 V)sin(40πt). The generator is connected across a 17.0- resistor. (a) By inspection, what is the maximum voltage? V (b) By inspection, what is the frequency? Hz (c) Find the rms voltage across the resistor. V (d) Find the rms current in the resistor. A (e) Find the maximum current in the resistor. A (f) Find the power delivered to the resistor. W (g) Find the current when t 0.0050 s. A (h) Should the argument of the sine function be in degrees or radians? O The argument of the sine function should be in degrees. The argument of the sine function should be in radians.Question in the attachmentAn ac generator has a frequency of 1300 Hz and a constant rms voltage. When a 463-Ω resistor is connected between the terminals of the generator, an average power of 0.260 W is consumed by the resistor. Then, a 0.0830-H inductor is connected in series with the resistor, and the combination is connected between the generator terminals. What is the average power consumed in the inductor–resistor series circuit?
- The voltage supplied to an ac circuit is given by v = (120 sin(60t))V. What are the rms voltage and the frequency? a) 120 V, 60 Hz b) 120 V, 380 Hz c) 170 V, 9.5 Hz d) 85 V, 9.5 Hz e) 240 V, 30 HzA transformer has a primary coil with 225 turns of wire and a secondary coil with 900 turns. An AC power supply connected across the primary coil has a voltage given by the function Δv = (120 V)sin(ωt). What rms voltage (in V) is measured across the secondary coil?A transformer has a primary coil with 125 turns of wire and a secondary coil with 625 turns. An AC power supply connected across the primary coil has a voltage given by the function Δv = (160 V)sin(?t). What rms voltage (in V) is measured across the secondary coil?
- An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 k) and a capacitor (C = 2.5 μF). (a) What is the maximum value of the current in the circuit? A (b) What are the maximum values of the potential difference across the resistor and the capacitor? V AVR, max AVC C, max AVR AVC ΔV, = (c) When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? source = V V How much charge is on the capacitor at this instant? μ℃An LRC circuit consists of a 16.0-μF capacitor, a resistor, and an inductor connected in series across an ac power source of variable frequency that has a voltage amplitude of 21.0 V. You observe that when the power source frequency is adjusted to 49.5 Hz, the rms current through the circuit has its maximum value of 62.0 mA. What will be the rms current irms if you change the frequency of the power source to 60.0 Hz? irms AA capacitor is connected across the terminals of an ac generator that has a frequency of 360 Hz and supplies a voltage of 34 V. When a second capacitor is connected in parallel with the first one, the current from the generator increases by 0.30 A. Find the capacitance of the second capacitor. Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise.
- An AC source i(t)=(20.0[mA])cos((10.0[rad/s])t) is connected to a 100[μF] capacitor , what is the potential through the capacitor?A capacitor (capacitance C₁) is connected across the terminals of an ac generator. Without changing the voltage or frequency of the generator, a second capacitor (capacitance C2) is added in series with the first one. As a result, the current delivered by the generator decreases by a factor of 5.00. Suppose the second capacitor had been added in parallel with the first one, instead of in series. By what factor would the current delivered by the generator have increased? Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise.A circuit consists of a 3.38-μF and a 6.98-μF capacitor connected in series across the terminals of a 617-Hz generator. The voltage of the generator is 120 V. (a) Determine the equivalent capacitance of the two capacitors. (b) Find the current in the circuit. Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number i Units (b) Number i Units