Lab8

SUBJECT:AC CIRCUIT ANALYSIS Q#2 what do you know about Resonance also explain series Resonance circuit.    NOTE:ANSWER MUST BE DETAILED WITH EXPLANATION

Build an AC RLC circuit a) Choose values for voltage, frequency, resistance, capacitance and inductance. b) Calculate the impedance, phase angle and resonant frequency.

1a) A circuit has a resonant frequency of 440 kHz and a system Q of 30. Determine the bandwidth and the approximate values for f1 and f2.   b) Find the Qcoil and coil resistance of a 150 μH inductor at 100 kHz using device curve A.   c) A certain 75 μH inductor is described by curve B. Determine the equivalent parallel inductor/resistor combination at 1 MHz.   d) Consider a series circuit consisting of a 2 nF capacitor, an ideal 33 μH inductor and a 5 Ω resistor. Determine the resonant frequency, system Q, and bandwidth.

What is the mathematical relationship between period (T) and frequency (f)? (words and equation)

Design (only the block diagram) an Armstrong indirectly FM modulator to generate an FM carrier with a carrier frequency of 98.1MHz and df (frequency deviation) =75kHz.A narrowband FM generator is available at a carrier frequency of 100 KHz and a (frequency deviation) df=10Hz.The stockroom has an oscillator with an adjustable frequency in the range of 10 to 11MHz.There are plenty of Frequency multipliers.

HIGH VOLTAGE(Can you explain in detail? Thank you)   Q1 : A 100 kVA, 50 Hz, 230/50 kV testing transformer has an 10% leakage reactance and a 2% winding resistance. A cable of capacitance 100 nF is to be tested at 300 kV using this transformer as part of the resonance circuit. Determine the value of the inductance (with a Q-factor of 20) required to obtain resonance and the value of the input voltage required to obtain the required voltage.

(a) Define bandwidth of an amplifier and provide explanation using a diagram. (b) A circuit has no lower cut-off frequency but has an upper cut-off frequency of 100 MHz. What is its bandwidth?

Answer Five Questions only. Q1) Obtain the transfer function- for the system shown in figure (1). R. www. Figure (1)

What is frequency? Explain the concept of frequency.

In a RC type low pass fitter, the cut- off frequency is 1500 Hz, Assuming the capacitance to be 500 nF. The value of the resistance is - (in Q2)

2. In each case, what will be the frequency in the square wave and the sampling rate you will choose in your experiment? 3. Sketch the voltages on R and C for 2 period of the square wave, label your time axis with value and unit. 4. repeat step 4 for RL circuit.

Choose the correct answer:9- Parellel resonant transformer test system is used whena) Large test voltages are neededb) Stable output voltage with high rate of rise of voltage is neededc) Large current is neededd) When high frequency test voltage is needede) High accuracy is needed10-Sphere gaps are used to measurea) DC, AC peak and impulse voltagesb) DC voltagesc) AC peak voltagesd) Only DC, and impulse voltagese) Only DC and AC peak voltages

P3 For the series RLC circuit given in Figure 4 for Vs=10sinot R=2.2 2, L=100 uH and C=1000 uF a) Obtain the resonant frequency and the half-power frequencies. b) Calculate the quality factor and bandwidth. c) Determine the amplitude of the current at 60, 6 and 02. d) Plot the current amplitude versus frequency e) Use LTSPICE to plot frequency response.

What is the definition of resonant frequencies, cut-off frequencies, bandwidth, andquality factor of series and parallel RLC circuits.And how do you determine the circuit conditions at the resonant and cut-off frequencies. (Answer in long paragraph form)

2. A series circuit consisting of a 20-N resistor, an 88.3- µF capacitor, and a variable inductor is connected to a 120-V, 60-Hz source. a. Calculate the value of inductance L, the current I, and the voltage drop across the inductor E, for the condition of resonance. b. Determine the value of L, the current I, and the voltage drop across the inductor(E, when the latter has its maximum value.

Frequency bands: What are low and medium frequency bands? What are the difference of the 2 and what are they used for?

Problem 3 – Resonance in AC networks [8] The parameters of a series RLC circuit are R = 1 kQ, L = 8 mH and C = 20 pF. The applied voltage is 20 V rms of variable frequency. Determine the following: (a) Resonant frequency. (b) Current at resonance. (c) Q-factor (d) Voltage across the inductor at resonance. (e) Voltage across the capacitor at resonance. (f) Lower and upper half power frequencies. (g) Bandwidth.

RLC Series AC Circuits• Calculate the impedance, phase angle, resonant frequency, power, power factor, voltage, and/or current in a RLCseries circuit.• Draw the circuit diagram for an RLC series circuit.• Explain the significance of the resonant frequency.

1. For the circuit in Figure 1: a) Calculate the total impedance Ztot of the below circuit b) Calculate the total current Itot and branch currents IR, Ic and IL. Calculate voltage Uc over the capacitance C. c) Is the circuit in resonance? How the parallel resonance affect inductance and ca- pacitance currents IL and Ic? E=230V 20°, R₁ = 10 Q, R₂= 2009, C= 100µF, L = 280mH, ƒ= 30Hz (Answers Ztot = 210 + 3.9j №, I =4.13A Z 90.1°) Present all values in polar form (x 2 yº) E I tot R₁ R2 IR Ic CU Į₁ L

Use the image below to help answers parts a and b.in an LRC type circuit series the inductive reactance is XL=484 ohms. and I=0.8 amps is the measured current amplitude.A) In the inductor determine the amplitude of the voltage.B)If the LRC circuit is at resonance frequency find the capacitive reactance.

1. Derive the lower cut-off frequency for the basic RC high-pass circuit in Figure 1. R, Figure 1.

← Current Transformer Distributed capacitance C of a coil is measured by a Q-meter. At a frequency of 1 MHz the resonance is obtained with a capacitance of 150 pF. Now the frequency is increased to 2 MHz and capacitance required for resonance is 30 pF. The value of Cdis

LAB 1 Questions R Vout Vin 1. Find H(w) = Vo/Vi. 2. Derive an expression for the cutoff frequency. 3. Calculate the output voltage at frequencies: 50 Hz, 100 Hz, 150 Hz, 200 Hz, 300 Hz and 1KHZ. Assume Vin=4 v (peak-to-peak), R=1.1 k and C=1uF. 4. Calculate the cutoff frequency and the output voltage at this value.

Find the resonant angular frequency, Q value, and half width of the resonant circuit in the figure. (If possible, please show the all the detail work on paper so i can understand:) )

The figure below shows a phase shift oscillator with amplitude control. Design  the circuit to produce 7kHz frequency and a ±8V output waveform. Assume that I1 = 1mA and R2=R3. Do your design on a piece of paper and then enter the various resistor and capacitor. NOTE: Use only E24 values for your design   Enter the values of R1=_____Ω, R2_____kΩ . , R3._____kΩ , R4._____kΩ . , R5_____kΩ , R6_____kΩ and R7 _____kΩ and the value of C=_____ μF

7. What is the frequency in resonance condition? a) Minimum b) Maximum c) Cannot be determined d) Zero

Explain the cases why tuned filters or detuned filters are used in power distribution system. Give example of tuning frequencies for tuned and detuned filters. Draw the impedance - frequency curves of the passive harmonic filters in accordance with your example frequencies.

Q4. Suppose the circuit shown has the given characteristics at resonance. Determine: a) the value of L. b) the value of R. c) the values of w1 and W2. d) the value of V at resonance. V (volts) V, BW=5 krad/s 0.707 v, 3.6 mA /0. (krad/s) 12.5

This circuit represents a small signal amplifier.If C1= 1.5 μF, C2= 0.43 µF Assuming the transistor has: ac current gain =100. dynamic resistance = 100, and Internal Capacitances C= 42 pF, Chc-4pF, C=1pF. 1- Calculate the critical frequencies for the low frequency response. 2- Calculate the critical frequencies for the high frequency response. 3- Write the general formula for voltage gain as function of frequency. 4- Sketch the Bode Plot for the voltage gain magnitude. 2 T mill 1kQ2 O 560 ΚΩ 4.3 ΚΩ C2 HA R1 2 2,7 ΚΩ

1) For the circuit shown below, derive the resonant frequency and plot the resonant frequency behaviour as a function of the resistance R, inductance L and capacitance C.