A series RC circuit with R=4k0 and C=0.40µF is connected to an AC voltage source t)=100sin200t. Determine the following: (a) What is the cm.s current in the circuit? (b) What is the phase between the voltage and the current? (c) Find the power dissipated in the circuit. AT
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- A circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?A LC circuit in a radio tuned to 1080 kHz has an inductor with an inductance value of 60 μH and a resistance of 0.25 Ω. a. what is the capacitance of the LC circuit? b. sketch the impedance phasor diagram for the radio. Be sure to label important features of the diagram.1. For the following sinusoids, determine which one leads and by how much a. ?(?) = 10cos (4? − 60°) and ?(?) = 6sin (4? + 50°)b. ?ଵ(?) = 4cos (377? + 10°) and ?ଶ(?) = −20cos(377?)c. ?(?) = 13 cos(2?) + 5 sin(2?) and ?(?) = 15cos (2? − 11.8°)
- Ac - 100 VrmsR1 - 1kR2 - 500Rload - 1kCapacitor - 2uF Q1. How much is the capacitor voltage lagging from the AC sourceThe capacitor of external defibrillator must be loaded at 1500V, in order to generate a two-phase wave of 150 J.Considering a transthoracic impedance is 80ohms and a capacitance of 30 000 uF. 3- What is the energy of the capacitor?4- What is the internal impedance of the defibrillator in the previous cases?An RLC series circuit has an impedance of 60 Ω and a power factor of 0.50, with the voltage lagging the current. (a) Should a capacitor or an inductor be placed in series with the elements to raise the power factor of the circuit?(b) What is the value of the capacitance or self-inductance that will raise the power factor to unity?
- What is incorrect about the RLC AC Circuit shown? 1 The power dissipation through the (ideal) capacitor is vanishing. 2 The current leads the voltage across the capacitor by 90deg. 3 The voltage across the inductor leads the current by 90deg. 4 If the AC source is replaced by a constant DC source, after a very longtime, the voltage across the inductor vanishes. 5 If the AC source is replaced by a constant DC source, after a very longtime, the voltage across the capacitor will be equal to that across theresistor.An RLC circuit (has resistance and reactive elements) supplied by a 60Hz power source is found to have a lagging power factor (PF). What can you say about the relative contributions of the resistance (R), XL inductance, XC capacitance & resistance/reactance (ratio) utilized in this circuit at the 60Hz frequency? (min two statements – major reactive element & comparison to Resistive element)A resistor, an inductor, and a capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency v. Let the source voltage be given by v = Vcosvt. (a) Show that each of the instantaneous voltages vR, vL, and vC at any instant is equal to v and that i = iR + iL + iC, where i is the current through the source and iR, iL, and iC are the currents through the resistor, inductor, and capacitor, respectively. (b) What are the phases of iR, iL, and iC with respect to v? Use current phasors to represent i, iR, iL, and iC. In a phasor diagram, show the phases of these four currents with respect to v. (c) Use the phasor diagram of part (b) to show that the current amplitude I for the current i through the source is I = √(I2R) + (IC - IL)2 . (d) Show that the result of part (c) can be written as I = V/Z, with 1/Z = √ (1/R2) + [ωC - (1/ωL)]2.
- Q5. For an exhibition project you are designing a circuit of signal processor which can be connected to 230V, 50 Hz supply have a 5.0 H inductor, 80 μ F capacitor and 40Ω resistor kept in series. How can you evaluate the rms current and average power delivered to the circuit? Based on your observation, evaluate the potential drop across capacitance and inductor. Comment about that r m s voltage found in this circuit is less than peak voltage? Justify it with your answer. If you remove the inductor and connect a bulb in series with a capacitor. What will happen to the brightness of bulb if it is connected to DC source and then to an AC source. Assess and find reason for your observations in each case.In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel. In series Zt = Z1 + Z2 In Parallel Add the following two impedances (a) in series and (b) in parallel. Z1 = 4 + 3i and Z2 = 12 + 5iIn alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel. In series Zt = Z1 + Z2 In Parallel