Problem 7.3 For the power system shown, find: a) the average power, b) the reactive power, c) the power factor. Note that 220 V is an rms value. 220 V, 60 Hz 124/0° 2 20 - j25 Q 90 + j80 2

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A: In the question The RMS value of sinusoidal voltage is given by Vrms= 5 V, Calculate the value of…

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Q: 6. If a power system has 10,000 kVA capacity, operating at 0.7 lagging power factor and cost of…

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Q: 2. Find the RMS value of the voltage waveform and the average power absorbed by the 9 ohms resistor…

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Q: Given an AC source having a voltage v(t)=27sin(249t + 15°) V, find the period of the voltage…

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Q: A complex voltage is represented by v = (10 sin ωt + 3 sin 3ωt + 2 sin 5ωt) volts Determine for the…

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Q: The following circuit is powered by a polyharmonic voltage whose expression is: v(t) = 100+141.sin…

A: Given:V(t)=100+141sin(1000t)+70.7sin(2000t) V(t) contains three frequency voltage, response for each…

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Q: Communication Systems Consider the signal    w(t) = 6cos(8pt) + 2cos(4pt) Calculate the rms value…

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Q: 1. v(t) = 150 cos(50t) V and i(t) = -20 sin (50t – 30) Calculate the following a. Average power b.…

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Q: Consider a voltage source v(t) = 220 cos (100nt - 30°) Define a. The amplitude of v(t) b. The…

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Q: Example: The current in a circuit is given by: i(t)=141.4 sin 377t A. Find the value of: a- the rms…

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Q: An alternating current is represented by the equation: i(t) = 150sin 628t Calculate; 1.The…

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Q: Given the network in the figure below, determine the magnitude of the input voltage Vs. 0.3 0 jo.1 N…

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Q: Q1) The apparent power entering a certain load Z is 250 VA at a power factor of 0.8 leading. If the…

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Q: # 1: For the voltage v(t)=12 cos(50t+10°), find: 1. The amplitude (Maximum value) 2. The Root Mean…

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Q: C2 The current in an a.c. circuit at any time 't' seconds is given by, i = 120 sin (100xt + 0.36) A.…

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Q: Three sinusoidal alternating currents of RMS 5, 7.5, and 10 A are having the same frequency of 50 Hz…

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Q: 1. The single phase ac voltage source is v = 141.4cos(377t)V, the load can be modeled as a 16mH…

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Q: Which among these statements is false or incorrect? O A. Stranded conductors has an Irregularity…

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Q: a) For the sinusoidal AC voltage, v(t) = [6 sin(500t) + 2] V, determine the following: (i) peak to…

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Q: The voltage applied to a circuit is given by v(t) = 208 sin(314 rad/st) v. Determine the following:…

A: voltage v(t) = 208 sin (314 t)      a) 2πf = 314          frequency, f = 3142π = 49.9746 Hz (i.e,…

Q: The peak value of the reactive component of power transmitted, that is forever travelling backward…

A: The peak value of the reactive component of power transmitted that is forever travelling backward…

Q: A- An alternating voltage is given by V= 220 sin 314t volt. Find: (1) the amplitude. the…

A: Solve as below

Q: 2. A 70-Vac source has the following waveform. Determine: a. Vpk b. Vpk-pk C. Vrms d. Period e.…

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Q: Problem 7.10 A 120-V rms 60-Hz source supplies two loads connected in parallel, as shown. (a) Find…

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Q: 3 For the following numerical values, determine the average power P, the reactive power Q, and the…

A: (a) Write the given values of voltage and current and write them in phasor form.

Q: i, = 3 sin(377t + 60°) R1.2 N XL 1.20 Ω Χ. 20 Xc

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Q: A 40uF capacitor is connected across a 230V, 50HZ supply. Calculate a) the reactance offered by the…

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Q: An industrial process requires a power of 10 kW with a lagging power factor of 0.6 in a single-phase…

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Q: Q33-Q37 refer to the table below: The line currents in a balanced 60 Hz, 4-wire system has the…

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Q: A 132 kV System, the inductance and capacitance of circuit breaker location is 1 mH and 0.1…

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Q: The current in an a.c. circuit at any time 't' seconds is given by, i = 120 sin (100xt + 0.36) A.…

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Q: The reactance X of inductance L =j/wL True False The reactance X of capacitance =jwc True False The…

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Q: Exercise Problem 8.22 Determine ix(t) and average power delivered by the source.

A: N1N2=14i1N1=i2N2N1N2.i1=i2i2=N1N2 i1i2=14 i1jωL1=j13=j3Apply KVL--7∠0°+i14+i3j3+5i3=0…

Q: A 230 Vms, 50 Hz AC supplies a circuit consists of resistor 7 2 and inductor 31.8 mH connected in…

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Q: Consider the circuit shown below; the applied sinusoidal source voltage is v, (t) = 100 cos (2001)…

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Q: 7.73 To correct the power factor problems of the motor in Problem 7.72, the company has decided to…

A: The circuit diagram is, From the circuit,

Q: 2. The current in an a.c. circuit at any time 't' seconds is given by, i= Im sin (Bat +X) Find (i)…

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KVL and KCL

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Sign Convention

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.