200 mH, and C = 5 mF. If the input Problem 1: 100 2, L = A series connected RLC circuit has R = voltage v(t) = 5 cos(5t) V, find the current i(t) in the circuit.
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![Problem 1:
A series connected RLC circuit has R
=
100 2, L = 200 mH, and C = 5 mF. If the input
voltage v(t) = 5 cos(5t) V, find the current i(t) in the circuit.
Problem 2:
Suppose a resistor with R = 1 k is in parallel with an inductor for which L =
w= 1000 rad/s, find the equivalent impedance.
1 mH. If](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F938fc8d5-74e5-4f61-b7cc-77a24021ada1%2F8d464f1a-a6bc-4d4c-9bea-3f0afbf705fc%2Fgioqw1_processed.png&w=3840&q=75)
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- 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?The following is given for a series R-L-C circuit: resistor (R) = 8 Ohms, an inductor (L) = 32 mH and a capacitor (C) = 800uF. The circuit is supplied by a voltage source of e = 120 sin (125t) Volts. What is the angular frequency of the ac source? What is the circuit impedance? What is the power factor? What is the real power of the circuit?The following is given for a series R-L-C circuit: resistor (R) = 8 Ohms, an inductor (L) = 32 mH and a capacitor (C) = 800uF. The circuit is supplied by a voltage source of e = 120 sin (125t) Volts. What is the angular frequency of the ac source? What is the period of ac source? What is the circuit impedance? What is the power factor? What is the real power of the circuit? What is the rms value of the circuit current?
- 9. What will be the impedance of a LR-C circuit if it has a circuit current of 3A and a supply voltage of 120V? A. 45ohm B. 50 ohm C. 40 ohm D. 35 ohm 10. A pure inductance of 100mH is connected in parallel to a 25microfarad capacitor. The network is connected to a 200V, 60Hz supply. Determine the circuits current. A. 2A B. 3.42A C. 4A D. 10AConsider the parallel RLC circuit of Figure 2 with the source a 1-kHz sinusoid having an amplitude of 5 V. Regard the source voltage as having zero phase. Calculate the amplitude and phase (in degrees) of the following quantities: the current through the resistor, the current through the inductor, and the current through the capacitor. Calculate also the amplitude and phase of the current supplied by the source.Two parallel capacitors C1 and C2 are in series with two series inductors L1 and L2 and connected to an AC supply of w rad./s, then the equivalent impedance equals... a) Infinity b) Zero Ohms O) j(-1/(wC1+wC2)+wL1+L2)) d) j(-wC1 C2/(C1+C2)+wL1-L2))
- For a series RLC circuit with a sinusoidal input voltage, the amplitude of the current passing through the circuit (I, in mA) is plotted as a function of frequency for two cases: Curve 1 with R1, L1. and Curve 2 with R2. L2 as shown in the next figure. The value of the capacitor used in the circuits is C=0.01 micro Farads. If the value of R2 =1600 Ohm then the input voltage (in volts) is: 7.5 25 110 Frequency H2 O a. 4 O b. 16 sin(9888 t) O c. 8 O d. 8 cos(6.28 f t) O e. 8 sin (6.28 R t)2.An inductor L, is connected in series with a parallel combination of inductor L2 and capacitor C. The impedance of the circuit at w = 400 rad/sec is j100. The circuit is to yield infinite impedance at w = 1000 rad/sec and zero impedance at w = 2000 rad/sec. Solve for L1, L2 and C. W =7. A resistor that draws 12A, a 79.618mH inductor that draws 16A, a resistor of unknown value, and an inductor of unknown value are parallel connected to a 60HZ source. Total circuit current is 56.347A and circuit power factor is 78.088%. The inductors have negligible resistance. Find: A. Circuit voltage: B. Circuit impedance: C. Circuit apparent power: D. Circuit phase angle (indicate lead or lag): E. Value of the unknown inductor: F. Value of the unknown resistor: G Total true power: H. Total reactive power: I. Current drawn by the unknown inductor: J. Current drawn by the unknown resistor:
- A capacitor of capacitance ((10^-4) /m) F, an inductor of inductance (2/m) H and a resistor of resistance 100 Q are connected to form a series RLC circuit. When an AC supply of 220 V, 50 Hz is applied to the circuit. Determine the power factor in the circuit.An AC circuit is composed of a serial connection of: a resistor with resistance 50 0, a coil with inductance 0.3 H and a capacitor with capacitance 15 µF. The circuit is connected to an AC voltage source with amplitude 25 V and frequency 50 Hz. Determine the amplitude of the electric current in the circuit and a phase difference between the voltage and the current. R=50 2 C=15 µF omH L=0.3 H U.-25 V f=50 Hz Hi guys! Here is something you can practice with. Simplify the circuit above. The final answer is RLC circuit the amplitude of the current is approximate: /m = 0.2 A. %3D The phase difference between the voltage and the current is about: p = -67°. %3D6. Find the characteristic impedance expression in terms of the inductance and capacitance parameters. a) Zo=√LC b) Zo=LC c) Zo=√L/C d) Zo=L/C
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