The equations of the currents in two parallel-connected electric devices areİz=11.3(sin377+90°) and iz=8.5sin(377t -90°).What is the rms value of the resultant current?

Given two parallel branches current i1=11.3sin(377+90∘)Ai2=8.5sin(377t-90∘)A Phasor domain…

Answered: equations of the currents in two…

equations of the currents in two parallel- nected electric devices are 1.3(sin377+90°) and iz=8.5sin(377t -90°). t is the rms value of the resultant current

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 2.2P: Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your...

See similar textbooks

Related questions

Q: The drawing shows three ac circuits, as shown below, each connected to identical generators.…

Q: The equation for an alternating current is given by i(t) = 120 sin(377t). Find the peak value,…

A: Given data, The equation of current is i(t) = 120sin377t. The general equation of AC is given by…

Q: Q-2 The voltage across a 40 2 inductive reactance is given. What is the sinusoidal expression for…

A: As per the guidelines of Bartleby we supposed to answer first three subparts of the question for…

Q: The voltage across three components in a series circuit is given as: Va = 8 sin(wt + 30°)V V = 15…

Q: In phasor representation of alternating quantity, one Complete cycle represents 120° rotation of…

A: We need to tell about given statement is true or false.

Q: ?What is the phase shift of the following sinusoidal voltage signal v(t) = 275 cos (159t + 54° ) V…

Q: Q3/What is the phase relationship between the sinusoidal waveforms of ?each of the following sets a.…

A: We need to tell phase relationship for given .we will find out phase angle for given set then decide…

Q: For the phasor diagram in figure 6 express the voltages in sinusoids for a period of 5ms. Im Re…

A: The period of the sinusoid is given; the frequency of the sinusoid is calculated as shown below:…

Q: •1 www 50 0-01 H

Q: The rms value of the current in a wire which carries a d.c. current of 10 A and a sinusoidal…

A: Given, The wire which carries, A D.C. current is 10 A. A sinusoidal alternating current of peak…

Q: Wat is the instantaneous value of the alternating voltage having the equation V = 200.sin (1000t) at…

Q: Example: What is the phase relationship between the sinusoidal waveforms of each of me following…

Q: A sinusoidal current has a peak value of 30 A and a frequency of 60 Hz. At time t=0, the current is…

Q: Given į =-10 sin(3t-85degree) e. Find the Frequency of the current f. Calculate at i at t= 2 ms.

Q: Q4) Determine the power and rms value for each of the following signals: a) (10 + 2sin3t )cos10t b)…

A: The power of any signal is defined as the sum of the absolute squares of its time-domain samples…

Q: For a sinusoidal source with the below voltage and current, plot the instantaneous power for 0.1…

A: Given voltage v(t)=15.25sin(377t)current i(t)=11.33sin(377t-30°)

Q: The circuit shown in Figure Q1.2 is connected to a 1.6 Hz sinusoidal source. Calculate the total…

A: Given that; f=1.6 hz We can draw the above figure as;

Q: Given the following currents: i 1 = 25 cos(wt + 30°); i 2 = -15 sin(wt – 30°); i 3 = -35cos(wt +…

A: In this question We need to Determine the equation of the resultant current using only function of…

Q: Л Ч -5 i(t) mA 10 Sinusoidal 5 10 15 1 (us)

Q: The equation for an altemating current is given by i = 75 sin 314.16t. Find the peak value,…

Q: An alternating current varying sinusoidally with a freq. of 50 c/s. has a r.m.s. value of 35 A.…

Q: Q2: Sketch 5 sin 754t with a. angle in degrees. b. angle in radians. c. time in seconds.

A: To find (i) degree (ii)radian (iii)time

Q: V1(t)=__________________________, and, V2(t)=___________________________ What is the rms voltage of…

A: Find the value of the angular velocity.

Q: Q5: The current through a 2 k2 capacitive reactance is given. Write the sinusoidal expression for…

A: In this question we need to find a voltage expression for capacitor and need to draw it's waveform.

Q: In phasor representation of alternating quantity, one Complete cycle represents 360° rotation of…

A: Phasors are used to represent AC quantities in electrical engineering.

Q: The equation for an alternating current is given by i = 77 sin 314t. Find the peak value, frequency,…

Q: Problem 5: The current through a 6.8 kN resistor is as indicated. Find the sinusoidal expression for…

Q: Question 17 If I average a positive half-cycle sinusoidal current, what value will I get? O zero O…

A: The solution is given below

Q: State which one is leading by determining the phase angle between the two sinusoids below. V1 = -10…

Q: i) Define R.M.S value of an alternating quantity and derive its expression for sinusoidal current.

A: To calculate the rms value of sinusodial current and define thr rms?

Q: What is the capacitance to be connected in parallel with the load to increase the power factor to…

Q: 1. A sinusoidal alternating voltage has an RMS value of 440 V and a frequency of 50 hz. It crosses…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Determine the rms values of the following instantaneous equations -- (answers must be in 4…

A: Find the RMS values for the given sinusoidal waveforms.

Q: Problem 10: The current through a 0.1 H coil is given. What is the sinusoidal expression for the…

Q: The equation of two currents in parallel connected in electric devices are i = 12 sin ( 377t +T/4)…

A: Two equation of currents are given Both current in parallel connected in electric devices Find the…

Q: ?What is the value the following sinusoidal voltage signal v(t) = 223 cos (223t + 36° ) V at t = 54…

A: The value is given by

Q: A sinusoidal current has a rms value of 3 amperes, its maximum value will be 2.1213 amp 0.866 amp…

Q: Determine the values of the resistance and the series-connected inductance or capacitance for each…

Q: DIRECTIONS: Draw the following sinusoidal waveforms: 1. e= 220sin(ωt -500) 2. i = -30 cos (ωt + π/4)…

Q: Find the RMS value of Vit)-100 sin(3771-76) V 141,421 V 55.10 V 100 V 70.71 V

A: Given: Voltage, Vt=100 sin377t+76° V

Q: |PLEASE ANSWER WITH SIMPLE COMPLETE SOLUTION FOR ME TO UNDERSTAND| An industrial motor circuit has…

Q: Express the following time-harmonic fields as phasors (a) A = 5 sin(2t + x/3)a, +3 cos(2t +30° a,…

Q: Supply voltage has an average value of 20 V. Its RMS value is RMS value, Vrms = %3D

A: If the averages voltage 230V Then rms value? Assume this is sinusoidal waveform.

Q: Q.1 An alternating current is given by i,(t) = 50 sin (50za – 100°)A. (i) Determine the period,…

Q: Find the RMS value of Vit)-100 sin(377t+76) V 141,421 V 55,10 V 100 V 70.71 V

A: Given data: The Rms value is, Vt=100SIn377t+76 V

Q: The series capacitance causes real power loss in the conductor. Select one: O True O False

A: Capacitor is can supply leading VAR to the line and does not consume any real or active power in the…

Q: (p) Suppose for some arbitrary system: 1 20.97 s+2 - j2 ' s+ 2+ j2 12-0.97 H(s) = = + Write down…

A: For finding h(t) we have to take invese Laplace transform and given h(t) is causal so take only…

Q: For a sinusoidal source with the below voltage and current, plot the instantaneous power for 0.1…

Q: In a given circuit the applied voltage and resulting current are given as follows: v= - 200 cos…

A: In a given circuit the applied voltage and resulting current are given as follows: v= - 200 cos…

Q: Problem 52: Express the following in phasor form (in the rms sense) a. V2 (160) sin (wt + 30°) b. V2…

Concept explainers

Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).

Question

The equations of the currents in two parallel-
connected electric devices are
İz=11.3(sin377+90°) and iz=8.5sin(377t -90°).
What is the rms value of the resultant current?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given

VIEW

RMS Current

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?
An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.
Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your answers in both rectangular and polar form. (a) i(t)=5002cos(t30) (b) i(t)=4sin(t+30) (c) i(t)=5cos(t15)+42sin(t+30)
Shown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…
Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz. resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit tot = Determine the numerical value of Ztot = Determine the numerical value of Pztot= Determine the current through the circuit: • I(PEAK) = • I(RMS) = Determine the voltage across the resistor: Amps Amps S2 C degrees
QUESTION 3 An inductor, a capacitor, and a resistor are connected in parallel with a function generator. The inductor draws 100mA RMS, the capacitor draws 150mA RMS, and the resistor draws 200mA RMS. Find the magnitude of the total current. O 450mA RMS O 544mA RMS O 352mA RMS O 206mA RMS
Design a circuit to limit a 20 V rms sinusoidal voltage to a maximum positive amplitude of 10 V and a maximum negative amplitude of using a single 14 V dc voltage source.
The below figure shows the waveform of the voltage and current in a purely inductive AC circuit. Voltage Current Using the voltage phasor as the reference, the current phasor Lags by 90° Is in phase with the voltage Leads by 90° Lags and then leads by 160°
2, In a circuit, the capacitance of a capacitor is 3.2 microfarads and the rms voltage of the generator is 50 volts. Frequency (a) 100 Hz and (b) what is the rms current in the circuit when it is 1000 Hz?
1 Calculate average and RMS value of the voltage waveform given in Figure. 4V %3D t(ms)- 4V
what is the reactive power absorbed by the load ZL in VAR? Assume source is in rms
A utility company plans to connect a total of 20uF of capacitance to a 7200 volt line. To make this connection four capacitors will be connected in series. What is the capacitance of each capacitor? Answer is 80uF. Now what is the minimum AC voltage rating of each capacitor?