26. A resistor and inductor are con across an ac generator. The emf of the generator is given by u(t) = Vo cos wt, where Vo = 120 V and @= 120л rad/s; also, R = 400 22 and L = 1.5 H. (a) What is the impedance of the circuit? (b) What is the amplitude of the current through the resistor? (c) Write an expression for the current through the resistor. (d) Write expressions representing the voltages across the resistor and across the inductor.
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- you have a series RLC cir cuit made witha Resistor R=43-0 r, indactor L=27:0 MH, and capacibor C= 16-0nF. The Circuit is ariven by an AC source with Vems = 15.0V at Frequency f=7-90 KHZ- what is the RMS Voltage Ni across the inductor ? what is the RMS voltage AVC across the capacitor? %3DAn RLC circuit consists of a 1.34 2 resistor, a 8.44 nF capacitor, and a 5.55 mH inductor. Initially, the voltage across the capacitor is 1.46 V, and no current is flowing in the circuit. How many oscillations occur as the charge amplitude on the capacitor decays to 67.4% of its initial value? It is acceptable to let w' = w. i oscillations (include decimals if needed to keep the appropriate number of significant digits in your answer)Consider the RLC series circuit shown in the figure below where R = 420Ω, L = 75 mH, and C = 0.750 µF. The current in the circuit is given byi(t) = I cos[(9050 rad/s)t], where I is the amplitude current. Find the phaseshift between the source voltage relative to the current in the circuit.
- The figure below shows a series RLC circuit with a 26.0-N resistor, a 440.0-mH inductor, and a 28.0-µF capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the following in the circuit? VR VL ll L C (a) resistor V (b) inductor V (c) capacitor VAn RLC circuit is driven by an AC generator of frequency w. The generator voltage can be represented by Et) - Emax cos(ur) and the current by t) - max cos(wr-p). The peak generator voltage Emax, the peak current /max- and the phase angle p by which the generator EMF leads the current are given in the figure. R E- 20 V Ina = 2.3 A = +30 The average power dissipated by the resistor is:A 2.24 μF capacitor is connected as in the figure to an ac generator with εm = 40.0 V. What is the amplitude of the resulting alternating current if the frequency of the emf is (a)0.889 kHz and (b)10.8 kHz? Image is attached below, thanksAn RC circuit has an impedance of 130 Ω when connected across a 60.0 Hz power source that produces a 90.0 Vrms voltage. The capacitor has a capacitance of 75.0 ?F. An inductor with inductance 130 mH is added, to make a series RLC circuit. Draw a clear physics diagram of the problem What is the impedance of the new RLC circuit? What is the maximum energy stored in the inductor in this circuit? If the frequency is increased slightly, will the phase angle increase or decrease? Explain qualitatively.A resistor and an unknown device are connected in series with an AC generator as shown in the diagram below. The current lags behind the voltage of the generator by 69º. R www X (a) If the total impedance of the circuit is 223 , what is the value of the resistor in the circuit? Ω (b) What is the reactance of the device? ΩThe figure below shows a series RLC circuit with a 24.0-2 resistor, a 470.0-mH inductor, and a 25.0-μF capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the following in the circuit? + (a) resistor (b) inductor (c) capacitor V₂ R mo L Vc 11 CA resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V(t) = Vo cos(wt), where Vo What is the magnitude of the impedance of the RC circuit? (b) What is the amplitude of the current through the resistor? (c) What is the phase difference between the voltage and current? 120 V, w = 120T rad/s, R = 600N, and C = 4.5µF. (a) Hint a. The magnitude of the impedance is Ω. b. The amplitude of the current through the resistor is mA. c. The phase difference between the voltage and current is rad. (Take the positive phase difference to mean that voltage is leading the current by this phase difference.)An inductor with inductance L is connected to an AC source. If the AC source provides a voltage VL(t) = V0cos(omegat), what is the current IL through the inductor as a function of time? Use the cosine function.