Concept explainers
The current through and the voltage across a circuit element are, respectively,
where
a. Whether the element is a resistor, capacitor, or inductor.
b. The value of the element in ohms, farads, or henrys.
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Principles and Applications of Electrical Engineering
- termining the impedance and current of the system, the voltage across the resistor, and the voltage across the inductor. Could you please forward the response as a print of a handwritten answer? I got these two answers earlier. Which of them would be correct Impedance Z= (1000 + j 90.836) ohm Current I= 0.219∠-5.19° A Voltage across resistor VR = 219.097∠-5.19° V Voltage across inductor VL = 165.195∠84.81° V Impedance will be Z= 1004.052 ∠ 5.12° Current will be i = 0.221 ∠ -5.19° A. Volatge across resistor will be VR = 211.9∠ -5.19° V Volatge across inductor will be VL = 165.12 ∠ 84.81°Varrow_forward(b) Given t TM two current waveforms, 3 UTM UTM 3 UTM Is(t) = 30 sin (wt + 50°)A TM UTM UTM 19(t) = (i) Find the phase different between the Is(t) and I9(t). %3D TM (ii) Draw the phasor diagram of Is(t) and I»(t). 5 UTM & UTM (iii)State whether the current I5(t) lags or leads the current . UTN S(iv)Find Is(t) + I9(t). TM UTM 19(t). UTM UTM 5 UTM 5 UTM & UTMarrow_forwardA circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 120 V and ω = 429 radians/second. The values for the remaining circuit components are: R = 61 Ω, C = 426 μF. The value for L is unkown. What is known is that the voltage across the generator leads the current in the circuit by φ = 48 degrees. 1) What is t1, the first time after t = 0 when the magnitude of the voltage across the inductor is maximum? 4) What is VL,max, the magnitude of the maximum voltage across the inductor? 5) What is VL = Vb - Vc, the voltage across the inductor, at time t = 0? Note that VL is a signed number.arrow_forward
- In the circuit shown, i(t) = 10 sin 1.5t . Calculate the value of L such that v(t) = Vo sin 1.5t V. Find Vo. 1Ω i(t) H 1 F ll 2/3 llarrow_forwardDetermine the forced response i (t) for the circuit: Answer: i (t) = 2 cos (4t + 45 °) mAarrow_forward1.→ Transform the following circuit to the frequency domain and draw the frequency domain circuit. Calculate the phasor current I and then determine the current i(t) in the time domain. Show the units in your answer. i(t) v(t) = 120 sin (3771 + 60°) V 50 μF 2002 40 mHarrow_forward
- An AC circuit contains a 24-Ω resistor, a 15.9-mH inductor, and a 13.3-µF capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL = XC = IR = IL = IC = P = VA R sL = VA R sC = IT = VA = PF = ∠ θ =arrow_forwardR = 3 N v-(t) = 325 cos 300t V C = 400 µF V. L = 2 mH Figure Q1 By referring to Figure Q1, answer the following questions. i. Find the respective reactance of the inductor, XL, and capacitor, Xc. (marks) ii. Convert the voltage source from time domain, vs(t), to phasor domain, Vs. (The phasor domain needs to be in r.m.s). ii. Find the total impedance of the circuit. iv. Find vz(t) and iL(t) using Mesh analysis. (Show answer in peak value). Sketch the phasor diagram of VL and IL. V.arrow_forward2. Transform the following into their phasor-form counterparts: i(t) = 20sin(1600πt – 35°) A a. b. v(t) = 60cos(400πt + 16°) Varrow_forward
- PROBLEMS ltem =: TLO TLO 1 Find the two elements in a series circuit (i.e., R and L, or R and C. or L and C), given that i(t) = 2/2 sin 120rt + A and v(t) 1002 cos 120ztarrow_forwardSource voltage v(t) = 12.cos(100t+ 0) V Source current i(t) = 8.cos(100t + 0) A At t = 0, the source voltage is 6 V. e is degrees.arrow_forwardA capacitor of capacitance 104 /n F, an inductor of inductance 2/ t H and a resistor of resistance 100 2 are connected to form a series RLC circuit. When an AC supply of 220 V, 50 Hz is applied to the circuit, determine (i) the impedance of the circuit (ii) the peak value of current flowing in the circuit (ii) the power factor of the circuit and (iv) the power factor of the circuit at resonance.arrow_forward
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning