a)Derive the expression for the impedance (Z) of the ac circuit shown below. (b) What is the phase angle (theta) between the voltage and the current in the circuit? What is the resonance frequency when wL>>R c) Given L=1.5x10^-3H, C= .17x10^-12F, R=10 ohm, calculate t he impedance of the circuit at w= 5.0x10^7/s
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a)Derive the expression for the impedance (Z) of the ac circuit shown below. (b) What is the phase angle (theta) between the voltage and the current in the circuit? What is the resonance frequency when wL>>R
c) Given L=1.5x10^-3H, C= .17x10^-12F, R=10 ohm, calculate t he impedance of the circuit at w= 5.0x10^7/s
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- A LRC series circuit consists of a 1.50 µF capacitor, a 6.00 mH inductor, and a 71.0 N resistor that are connected across an AC voltage supply with maximum voltage of Vmax = 13.0 V. (a) What must be the frequency of the AC voltage supply for the average power delivered to the circuit to be Vrms!rms?(a) A series RLC circuit is shown in the figure below. (170 V) sin 120 mt 5.0 Ω A Series RLC Circuit. 0000 25 mH Calculate the linear freq ency (in Hz) of the voltage source. Hz Calculate the resonance frequency. Hz Calculate the impedance at resonance. 2 400 μF Calculate the current at resonance. AIn a purely inductive AC circuit as shown in the figure, AVmax = 100 V. AVmax sin 27ft L (a) The maximum current is 5.20 A at 44.0 Hz. Calculate the inductance L. mH (b) At what angular frequency w is the maximum current 1.70 A? rad/s ell
- PRACTICE IT Use the worked example above to help you solve this problem. A series RLC AC circuit has resistance R = 2.60 x 10- 0, inductance L = 0.500 H, capacitance C = 3.50 µF, frequency f = 60.0 Hz, and maximum voltage AV, max 2.00 x 102 v. (a) Find the impedance. (b) Find the maximum current in the circuit. A (c) Find the phase angle. (d) Find the maximum voltages across the elements. AV R, max V Δν L, max V AV с, тax V %3D EXERCISE HINTS: GETTING STARTED I'M STUCK! Analyze a series RLC AC circuit for which R = 290 S2, L = 0.300 H, C = 22.5 µF, f = 50.0 Hz, and AV, max = 325 V. (a) Find the impedance. Z = Ω (b) Find the maximum current. Imax A (c) Find the phase angle. (d) Find the maximum voltages across the elements. AV R, max V Δν L, max V AV c, max VAn ac series circuit contains a voltage source with angular frequency of 200 rad/s and volatage amplitude V, a resistor with R=400 ohms and a capacitor with C= 1.00 x10^-5 F. If the voltage amplitude across the resistor is 40 V, what is the amplitude of the voltage across the capacitor?An AC power supply with a maximum po- tential of 74 V is across a series RLC circuit, where the inductance is 18 mH, the capaci- tance is 52 nF, the resistance is 14 N. Find the resonant frequency. Answer in units of kHz. Find the amplitude of the current at the res- onant frequency. Answer in units of A. Find the amplitude of the voltage across the inductor at resonance. Answer in units of V.
- A 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 120 V, w = 120m rad/s, R= 6000, and C= 6μF. (a) 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? Hint a. The magnitude of the impedance is b. The amplitude of the current through the resistor is 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.) Submit Question Q. mA, MacBook ProPlease help me with the following question and make sure it's 100 % accurate, thank you. A sinusoidal ac voltage source in a circuit produces a maximum voltage of 11.2 V and an rms current of 7.80 mA . For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Current in a personal computer. Part A. Find the voltage amplitude. Express your answer in volts. Part B. Find the current amplitude. Express your answer in milliamperes. Part C. Find the rms voltage of this source. Express your answer in volts.