1. Part of a security fence is built 2.5 m from a cylindrical storage tankwhose diameter is 11.2 m. What is the area between the tank and thispart of the fence if the central angle of the fence is 75.5°?2. The voltage and current of a network are as described below. Determinethe phase relationship between them.v(t) = 2cos(@t – 75°)i(t) = -5sin(@t + 12°)3. Find the cube root of the given complex number: y= (4 – j3) i.e., findV(4 – j3)'.You may leave your answer in polar form.4. Consider the two sinusoidal signals x1(t) = 3cos(@t + t/2) andX 2(t) = (3+j2)cos(@t). Let P(t) be the sum of the two signals i.e.,P(t) =x1(t) +x2(t). Use only the method of phasor representation to:(a) Find the total complex phasor representation (XT) of P(t).(b) Find P(t).5. The R-L series circuit shown below has source (E) frequency is 4-KHz.Determine: (a) the magnitude of the impedance (Zr) (b) the magnitudeof the current in the circuit (c) the phase shift between the voltage andthe current. You must draw the circuit being analyzed.1 kNZT+20 mHE = 5 V Z0°ll

Answered: Image /qna-images/answer/83877cad-9ef1-4ebd-bc22-83522f03b329.jpg

5. The R-L series circuit shown below has source (E) frequency is 4-KHz. Determine: (a) the magnitude of the impedance (Zr) (b) the magnitude of the current in the circuit (c) the phase shift between the voltage and the current. You must draw the circuit being analyzed. R 1 k2 ZT 20 mH E = 5 V Z0° ll

5. The R-L series circuit shown below has source (E) frequency is 4-KHz. Determine: (a) the magnitude of the impedance (Zr) (b) the magnitude of the current in the circuit (c) the phase shift between the voltage and the current. You must draw the circuit being analyzed. R 1 k2 ZT 20 mH E = 5 V Z0° ll

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.17MCQ: Consider the load convention that is used for the RLC elements shown in Figure 2.2 of the text. A....

See similar textbooks

Similar questions

1 A circuit having a resistance of 12Ω, an inductance of 0.15 H and a capacitance of 100μf in series is connectedacross a 100V, 50Hz supply. Calculate the impedance, current, the phase difference between the current andsupply voltage. 2. Two circuits with impedances of Z1 = 10 + j15Ω and Z2 = 6 – j8Ω are connected in parallel. If the supply current is 20A, what is the power dissipated in each branch?
A three-conductor belted cable 15 mi long is used as a three-phase underground line for a 69 kV 50-Hz system. The cable common test results show that Ca= 0.15 µF/mi and C= 0.3 µF/mi. can you tell me what the 1. The capacitance of each phase to neutral in μF is 2. The total charging current in (A) 3. Conductor to sheath capacitance in (µF/mi) 4. Conductor to conductor capacitance in (µF) 5. If the first common test was performed on this cable, Ca is (uF/mi)
Given a parallel RLC circuit comprised of the following element: 58.48-ohm resistor, ideal inductor with reactance of 74.07 ohms; and a capacitor with reactance of 19.78 ohms. Compute for true power in watts given an ac voltage source of 100 cis 0 volts. Compute to the nearest 4 decimal places. No Scientific notation. Do not round off in the middle of calculation. Use stored values.
A series circuit consists of resistance of 10 ohm, an inductance of 200/π mH and capacitance of 1000/π μF . Calculate (a) the current flowing in the circuit if supply voltage is 200 V, 50 Hz, (b) power factor of the circuit, (c) power drawn from the supply. Also draw the phasor diagram.
Given a parallel RLC circuit comprised of the following element: 76.19-ohm resistor, ideal inductor with reactance of 72.41 ohms; and a capacitor with reactance of 16.55 ohms. Compute for true power in watts given an ac voltage source of 100 cis 0 volts.
A capacitor and a 30-ohm resistor are connected in series. What is the equation of the resulting current if that capacitor has a capacitance of 80 microfarads and the combination is placed across a power supply whose equation is e = 325 sin (314t)? a.) i(t) = 6.52 sin (314t - 53°) b.) i(t) = 6.52 sin (314t + 53°) c.) i(t) = 6.53 sin (314t + 52°) d.) i(t) = 6.53 sin (314t - 52°)
A microstrip line is used as a feed line to a microstrip patch atenna.the substrate of the line a is alumina (εr = 10), while the dimensions of the line are W/d =1.2 and t/h = 0. detrmine the effective dielectric constant and characteristic impedance of the line.compare the coumputed characteristics impedance to that of a 50 Ω line.
An RLC series circuit connected to a 110 – volt and 50 – cycle AC source, contains the following series resistances and reactances: R1 = 10 ohm, R2 = 15, R3 = 5 ohms, XL1 = 20 ohms, XL2 = 25 ohms, XC = 40 ohms. Find the following: a.) EQUIVALENT REACTANCE b.) TOTAL IMPEDANCE c.) VOLTAGE DROP ACROSS THE CAPACITOR d.) TOTAL INDUCTANCE IN MILLIHENRY e.) TOTAL CURRENT f.) REACTIVE POWER g.) REAL POWER DRAW THE PHASOR DIAGRAM IF POSSIBLE AND ROUND OFF TO FOUR DECIMAL PLACES
The R, L and C circuit has resistance, R=10Ω, inductance, L= 107 milli-Henry and Capacitance, C=80 micro-farad. The supply voltage is 120 Volts-RMS with a frequency of 60 HZ. What is the power dissipated, across the resistor of the circuit in units of Watts?
A circuit element has the following voltage across it and current running through it.?(?) = 3 cos(100? + 30°) V,?(?) = 50sin(100? + 30°) mA.Assume polarities are chosen so that the current is flowing into the positive voltage terminal.(a) Determine if this circuit element is a resistor, capacitor, or inductor.(b) Find the impedance of this circuit element.(c) Find the component value of the circuit element. ie. if it is an resistor find R, if it is a capacitor, find C, if it is an inductor, find L.
4. Voltage flows through an electric circuit like water flows through a pipe. Select one: TRUE FALSE
A resistance of 16 Ω is connected in series with a pure inductance of 39.9 mH and the circuit is connected to a 100 V, 50 Hz, sinusoidal supply. Calculate the phase angle of the impedance. Give your answer as a number without units to 0 decimal places.