Types of Examples

1. For the network shown following figure, determine the current supplied by the
battery using star-delta transformation.(All resistances are in ohms)


2. Calculate the current flowing through the 10Ω resistor of circuit shown below, by using
any method. Values of resistors are in ohm.
3.Two capacitors having 8 μF and 4 μF are connected in series and charged from a
constant voltage of 210 Volts supply. Calculate (a) The voltage across each capacitor (b)
The charge on each capacitor.

4. A parallel plate capacitor has a plate area of 4 cm2.The plates are separated by Three
slabs of different dielectric materials of thicknesses 0.3, 0.4 , & 0.3 mm with relative
permittivity of 3, 2.5 and 2 respectively. Calculate the capacitance of each material
and the voltage across them if the supply is 200 V

5. A 4 1 5 V, 3 - phase voltage is applied to a balanced star-connection connected to 3-
phase load of phase impedance (3 + j 4) ohms each. Calculate (i) Line current (ii) Total
power supplied.

6. The following expressions represent the instantaneous values of e.m.f. in three coils
connected in series:
e1 = 50 sin ωt
e2 = 40 sin (ωt+60°)
e3 = 60 sin (ωt-30°). Find an expression for the resultant e.m.f. when coils are
connected to give the sum of e.m.f.s

7. Two impedances are connected in parallel across a 100 volt, 50 Hz a.c. supply.
Impedance no.1 has resistance of 8 Ω and capacitance reactance of 7 Ω. While
impedance no.2 has resistance of 5 Ω and inductive reactance of 6 Ω.
Calculate:
(i) Current through each circuit and p.f. of each circuit
(ii) Total current and p.f. of combined circuit
(iii) Power taken by the whole circuit.

8. A resistance of 10Ω, an inductance of 0.2H and a capacitance of 100μF are connected
in series across 220V, 50Hz mains. Determine the following (1)Impedance (2) current
(3) voltage across R,L, and C (4) Power Factor

9. An iron ring of cross sectional area 6 cm2 is wound with a wire of 100 turns
and has a saw cut of 2 mm. Calculate the magnetizing current required to produce a
flux of 0.1 mWb if the mean length of magnetic path is 30 cm and relative
permeability of iron is 470. Neglect leakage.


10.  Determine mesh currents I1, I2 and I3 for fig.. All the resistances are in Ω.





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