An inductive coil of resistance 15 ohms and inductance 0.2H is connected in parallel with a 100 micro farad capacitor to a variable frequency supply. Find the frequency at which the total current taken is in phase with the supply voltage. What is this value of this current if the voltage is 200v. Draw a phase diagram
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An inductive coil of resistance 15 ohms and inductance 0.2H is connected in parallel with a 100 micro farad capacitor to a variable frequency supply. Find the frequency at which the total current taken is in phase with the supply voltage. What is this value of this current if the voltage is 200v. Draw a phase diagram
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- A resistor, an inductor, and a capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency v. Let the source voltage be given by v = Vcosvt. (a) Show that each of the instantaneous voltages vR, vL, and vC at any instant is equal to v and that i = iR + iL + iC, where i is the current through the source and iR, iL, and iC are the currents through the resistor, inductor, and capacitor, respectively. (b) What are the phases of iR, iL, and iC with respect to v? Use current phasors to represent i, iR, iL, and iC. In a phasor diagram, show the phases of these four currents with respect to v. (c) Use the phasor diagram of part (b) to show that the current amplitude I for the current i through the source is I = √(I2R) + (IC - IL)2 . (d) Show that the result of part (c) can be written as I = V/Z, with 1/Z = √ (1/R2) + [ωC - (1/ωL)]2.An RLC series circuit has an impedance of 60 Ω and a power factor of 0.50, with the voltage lagging the current. (a) Should a capacitor or an inductor be placed in series with the elements to raise the power factor of the circuit?(b) What is the value of the capacitance or self-inductance that will raise the power factor to unity?A 200 V, 50 Hz a.c. supply is given to capacitance of 25 micro F. If the supply is given, write the formula for the curmate of the capacitor and find the RMS current of the capacitor.
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