An LC circuit (i.e. one with R = 0) shows SHO at an angular frequency, called the resonant frequency, Res = 1/√LC. Find the ratio max/Res. If we hold L,C constant and vary R, do we need to increase or decrease R in order to get max closer to Res?

2) a. For the circuit shown below, use the Branch Current Method to find an expression for i3 in terms of the circuit components. [ ans: i3 = -Va (R1 + R2)/ (RI R2 + R2 R3 +RI R3) ] b. Do at least two ranging checks on the answer of part a. c. Evaluate the voltage across R3 for the component values given. | ans: v = - 600 mV ] R, Values: Va = 1.0 v R1 = 100 2 R3 R2 = 200 2 R3 = 100 2 a. Use the Branch Current Method to derive an expression for v3 in the circuit below in terms of the other parameters of the circuit. (Hint: Solve for iz first.) W- R, ww | V,R, - V,(R, +R2)], V3= R3 R,R2 +R;R3+R,R3 [ans: b. Perform a units check on this equation. c. Perform one ranging check on this equation. ww

A testing engineer while designing a HVDC source uses several modules of circuits having six stageseach. Each stage capacitance is of 15 nF. The engineer observes that voltage is not enough with onemodule. How many such modules can he connect in cascaded fashion so that it gives best possibleperformance? Input voltage to the circuit is 100kV at 100 Hz and the load current is 1mA. Justifyyour opinion with relevant mathematical analysis.

ExampleConsider the following electrical system as shown in the following figure. This circuit consistsof resistor, inductor and capacitor. All these electrical elements are connected in series. Theinput voltage applied to this circuit is vi and the voltage across the capacitor is the outputvoltage vo. Find vo/vi ?

1/1 By using the experiment of series connection: if the R1=50ohm, R2=100ohm and R3=150ohm.. the voltage drop at R2 is greater than R3 * and less than R1 true O false O

A series circuit connected across a 100-Vac Source consists of a 10-2 resistor, a 5-2 capacitor, and a resistance R that takes 100 W and a reactance X taking 50 inductive VArs. Determine the minimum current required satisfying the above conditions.

c) An AC bridge in the Figure Q1c is balanced at 1 kHz and has the following components: Arm AB has 1.5 µF of capacitance in parallel with 2 kQ variable resistance Arm AC has 1 kO resistance Arm BD has 2.7 kQ variable resistance Arm CD has an unknown inductor, L. and a resistor, R, connected in series i) ii) iii) Sketch and show the components of the bridge. Classify the type of the bridge. Compute the unknown inductor, L, and resistor, R. A Z2 AC Z3 Zx D Figure Q1c

A coil of resistance 152 and an inductance 1H and a capacitance 15µF are connected in series across 70 N supply. The current drawn is 5A. Find the frequency of power supply. (i) A capacitor and resistor are connected in series to an ac supply of 150 V and 60Hz. The current is 5A and the power dissipated in the circuit is 70W. Calculate resistance and capacitance value. Also, draw the phasor dogram Vivo V15Pro AFTHple Camera

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In an R-L-C series circuit a maximum current of 0.5 A is obtained by varying the value of inductance L. The supply voltage is fixed at 230 V, 50 Hz. When maximum current flows through the circuit, the voltage measured across the capacitor is 350 V. What are the values of the circuit parameters? ..