BEE ASSIGNMENT-3(Alternating quantities)

                                                          ASSIGNMENT-3

                                             Unit-3(ALTERNATING QUANTITIES).

1. (a).Define the following terms.

(A) Alternating quantity (B) Waveform (C) Frequency (D) Time period (E) Instantaneous value (F) Average value (Mean) (G) RMS value (H) Peak Value (Maximum value) (I) form factor

 (b) Derive the expression for root mean square value (Effective value or virtual value or RMS value) of an alternating sinusoidal voltage wave form v = v_m Sin θ. (Using mid ordinate method and Analytical method)

  (c)   Derive the expression for Average value (Mean value) of an alternating sinusoidal current i = i_m Sin θ

3. (A) explain Addition phasor using Parallelogram method and Method of components.

    (B) Explain A.C through pure inductor and Show that power dissipated by a pure inductor exited by a sinusoidal voltage source V = Vm Sinωt is Zero.

  ( c ) An alternating current is given by the equation i=100 Sin(314t) find (i) maximum value (ii)frequency   (iii) Time period  (iv) value of current after t=0.01 sec

4. (A) Explain Ac through RC series circuit with phasor diagrams.

    (B) Explain AC through RLC series circuit with Phasor diagrams and Explain Resonance in RLC series circuit.

    (C) A coil of resistance R and inductance L is connected across 100v 50Hz supply. The current through the coil is found to be 2A and the power dissipated is 100W.find R and L

****5. (A) A reactor having negligible resistance and an inductance of 0.1 H is connected in series with a resistor of 15 ohms. The circuit is connected across a 230 V, 50 Hz, Single phase AC supply. Find

i) Current flowing through the circuit

ii) Power factor of the circuit

            iii) Voltage across the reactor.

**** B) A capacitor of 100 μF is connected across 200 V, 50 Hz, Single phase supply. Calculate

i) The reactance of the capacitor

ii) RMS value of the current

iii) The maximum value of the current

**** 6. (A)Find the active and reactive components of the current taken by a series circuit Consisting of a coil of inductance 0.1 H and resistance 8 and a capacitor of 120 μF connected to a 240 V, 50 Hz supply?

             (B) A conductor carries a sinusoidal A.C peak value 12 Amps superimposed on an direct current of 12 Amps.. Find the RMS value of resultant current.