A resistor R = 1kOmhs, an inductor L=1mH and a capacitor C = 1uF are used in a circuit which is driven by a voltage source us(t) = 10 sin(105t +45°) What is the phasor corresponding to the voltage source? First, what is the MAGNITUDE What is the PHASE (in degrees)
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- Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the inductor, EL, is 104 V, and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. ETITZ20VAPFER78VIRRPEL104VILXLVARsLLA 20µF capacitor has a sinusoidal voltage across it given by?(?) = 5 sin(500? + 45°) V.(a) Find the phasor representation of the voltage in polar (magnitude and phase) form.(b) Find the phasor representation of the voltage in Cartesian (real and imaginary part) form.(c) Find the phasor representation of the current through the capacitor. (d) If this same voltage appeared across the terminals of a 100mH inductor, what would be thephasor representation of the inductor current?A 200 Ω resistor, 0.900 H inductor, and 6.00 µF capacitor are connected in series across a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. (a) What are v, vR, vL, and vC at t = 20.0 ms? Compare vR + vL + vC to v at this instant. (b) What are VR, VL, and VC? Compare V to VR + VL + VC. Explain why these two quantities are not equal.
- A circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?A sinusoidal 50 Hz voltage of 200 V (rms) supplies the following three circuits which are inparallel: (a) a coil of inductance 0.03 H and resistance of 3 ohms, (b) a capacitor of 400 microFaradin series with a resistance of 100 ohms and (c) a coil of inductance 0.02 H and resistance 7 ohms inseries with a 300 microFarad capacitor. Find the total current supplied?A LC circuit in a radio tuned to 1080 kHz has an inductor with an inductance value of 60 μH and a resistance of 0.25 Ω. a. what is the capacitance of the LC circuit? b. sketch the impedance phasor diagram for the radio. Be sure to label important features of the diagram.
- An AC Wheatstone bridge is supplied by 25V, 50Hz, which is shown in figure C5 is used to find the unknown values of inductance and capacitance. Determine the following, Figure C5 i. Calculate the value of C, if ZD is replaced as capacitor. ii. Calculate the capacitance of the capacitor, if ZD comprise of resistor, inductor and capacitor in series, with R=10 Ω, L = 20mH.An inductor L1 is connected in series with a parallel combination of inductor L2 and capacitor C. The impedance of the circuit with ω = 400 rad/s is j100 Ω. The circuit is to yield infinite impedance at ω = 1000 rad/s and zero impedance at ω = 2000 rad/s. Determine the value of capacitance of the capacitor C.4.A voltage vC(t)=10 cos(2000πt) is applied to a 10-μF capacitance. Find the complex impedance of the capacitance. Find the phasor voltage and current, and construct a phasor diagram. Write the current as a function of time. Sketch the voltage and current to scale versus time. State the phase relationship between the current and voltage.
- In the circuit given below, it is given as R=2 Ohm, C=0.8 mF. What is the amplitude of the current flowing through the capacitor in this case?2. FIND THE EQUIVALENT CAPACITANCE. PLS ANSWER ASAPA sinusoidal 50 Hz voltage of 200 V (rms) supplies the following three circuits which are in parallel: (a) a coil of inductance 0.03 H and resistance of 3 ohms, (b) a capacitor of 400 microFarad in series witha resistance of 100 ohms and (c) a coil of inductance 0.02 H and resistance 7 ohms in series with a 300 microFarad capacitor. Find the total current supplied?