377 rad/sec coil is provided i Q2\ The current through a 0.1 H and w = the sinusoidal expression for the voltage across the coil (v). Sketch the v and i curves? = 10 sin wt.
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- 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…18 In the circuit shown in the figure below, for what value of C will the current-I be in phase with the sinusoidal source voltage V= sin2t? Vs (1 + j1) Q (a) -F 4 (b) (c) (d) 1F /-
- A non-inductive resistor is connected in series with a coil across a 230V, 50Hz supply. Thecurrent is 1.8A and the potential differences across the resistor and the coil are 80V and 170Vrespectively. Calculate the inductance and the resistance of the coil, and the phase differencebetween the current and the supply voltage.A sinusoidal current of 5 Arms is flowing through a series combination of a resistor and Inductor. The value of R is 45 ohms and that of the inductance is 15 mH and a frequency of 60 Hz. Find the magnitude and the phase angle of the voltage across the combination. (Hint: you can use phasor diagram). Select one: a. [V]=28.89, angle=9.39 b. IV]=25.60, angle367.00 c. [V]=128.01, angle3D10.18 d. IVl=226.77, angle=D7.16An alternating current is given by the expression i = 200 sin (314t + T/6) amperes. The maximum value is and the frequency of the current is
- An AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by AV = AVmax sin(27ft) and the source frequency is 19.0 Hz, at what time t will the current flowing in this circuit be 61.0% of the peak current? 5.922 X Note that the voltage in this AC circuit is a sine function. Did you use the correct units for the argument of the sine function? msH.W: The voltage across a 0.5-H coil is provided below. What is the sinusoidal expression for the current? v = 100 sin 20tQuistion.4. a) A sinusoidal voltage is applied to the resistive circuit in figure.Q.4. a. Determine the following: i. Ims ii. Iavg iii. Ip iv. Ipp 10V 1.0 ΚΩ Figure.Q.4.a
- 5) Find the reactance the inductance and impedance of the circuit. Calculate the current of this circuit and the sketch waveform of current and voltage. V1 10 V 60 Hz R1 m 100kQ 12 Vrms 1000 Hz 0° 6) Find the reactance the inductance and impedance of the circuit. Calculate the currents of this circuit R www 502 L L1 106mH eee 10 mHInductance of the coil is given by O a. L= 10 / N O b. L= N|I O c. L= N® / O d. L= N0 / TExplain the following 1. Diffrence between DC and AC Electricity. 2. how to convert rectangular form to polar form and polar form to rectangular form. 3. why need to improve a power factor