Find: 1. Z, which maximizes average power transfer to the load. 2. Maximum average power transferred to the load
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A: Solution - Given, ω= 5 rad/secL=jωL = j*5*1 = 5jC=1jωC=1j*5*0.04=-5j
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Q: appropriate formula that articulate the instantaneous power and the average power respectively.
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A: N1N2=14i1N1=i2N2N1N2.i1=i2i2=N1N2 i1i2=14 i1jωL1=j13=j3Apply KVL--7∠0°+i14+i3j3+5i3=0…
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- Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.If E = 1.05 p.u. leading by 25 degrees, feeding infinite bus bar through a reactance of 0.35. Find the reactive power flowing. a. 0.138 b. 1.514 c. 2.618 d. 0.43in the figure below, find a) The p.d across j5 ohmn inductance b)The p.d across -j10 ohmn capacitance c) the current in 20 ohmn resitance d) the current in (12+j160 ohmn impedance e) the complex power for (12+j16) ohmn impedance
- An industrial installation has a power factor of 0.85 in backward. The demand is 150 KVA, and the operating voltage is 4800 V at 60 Hz. What should be done to bring the power factor to 0.95 in lagging? Indicate what you would connect and with what three-phase power. If the connection of the element to be added is in delta, indicate its reactance and the value of its capacitance or inductance. capacitance or inductance.For the network in the figure, find the complex power absorbed by each element. Take Vs = 82-20° V rms. Vs -j3Q2 4Ω ell j5Q The complex power supplied by the source is The complex power absorbed by the capacitor is-[ The power absorbed by the resistor is W. The complex power absorbed by the inductor is ) VA. ) VA. ) VA.c) A heater with resistance 10 N is driven by an AC voltage source (120 V). For the circuit shown below, determine the following: 0.50 j5n Vs 120 V/50 Hz j1n Figure Ql i. The total circuit impedance, Zr, in polar form. 11. The supply current, I.. iiI. The phasor diagram indicating the supply voltage, V, and the supply current, 17 iv. Apparent Power, Real Power, Reactive Power and Power Factor. V. The heater output power. 100
- Given the circuit, solve for:a. Total currentb. Total apparent powerc. Total real powerd. Total reactive powere. pf of the circuitPlease, I need a complete solution. I promise to give it a thumbs up! :)In the figure below, all impedances are in ohms, all voltages are in volts and currents in Amperes. Both sources operate at 60 Hz. X, = 200 n X, = 600 n 80 sin (wt + T/2) x, = 600 2 0.2 ain wt Determine the time dependent current i (A) due to the current Choose... source Determine the time dependent current (A) flowing through the inductance with a Choose... reactance of 200 Ohms due to the current source Determine the time dependent current i (A) due to the voltage Choose... source Choose... Determine the total effective current (A) flowing through the Choose... inductance with a reactance of 200 Ohms1. A 3-ph, 50 Hz, 150 km length O.H.T.L. supplies a load with P MW load at 0.85 lag P.f. and 69 kV where P is the last two digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P = 96). . This T.L has a resistance of 0.232 Q/km and an inductive reactance of 0.783 Q/km and the capacitance to neutral is 0.0446 µF/km. Using nominal a circuit, Find: 1- Constants A, B, C, and D. 2- Sending end voltage. 3- Sending end current 4- Voltage regulation of this T.L. 5- Transmission line efficiency. 6- Draw with a scale the phasor diagram of this model at this operating case. 7- Estimate approximately the loadability of this transmission line at this operating voltage. Justify your estimation and suggest a way to increase this loadability. Verify your answer.
- Example: For the circuit shown, if the applied non-sinusoidal e=150sin1000t+ 100sin2000t+75sin3000t V. Find the active value of the current passes e(+ through the circuit and the average consumed power in the circuit? R-50 L-5mH voltage is: 50uFThe equation of two currents in parallel connected in electric devices are i = 12 sin ( 377t + T/4 ) Ampere and i, = 5 sin ( 377t - T/4 ) Ampere. a. What is the ms value of the resultant current? b. What is the value of A and B? c. What is the form factor?A speaker is simplified by a series connection of a resistor R and an inductor. The inductance L of the inductor is 0.5 mH. At a frequency of 1 kHz, the magnitude of the total impedance Z is measured as 10 Q2. e) When the speaker is driven by a sinusoidal voltage with an rms-value of 10 V and a frequency of 4 kHz, calculate the apparent, real, and reactive power. f) Now, a capacitor is connected in parallel to the speaker (resistor and inductor). Please calculate the capacity of the capacitor that the total electrical circuit is pure real at a frequency of 2 kHz.