Assignment-2
Semester-II (EVEN), Session: 2024-25
BEE-201: Fundamentals of Electrical Engineering
S.No Question CO Diff.
Level
Q.1: Derive that the average power consumed by a pure inductor is zero. In a series RLC CO2 2
circuit, R=20 Ω, L = 2mH, C = 10µF. Find the resonant frequency and Q-factor.
Q.2: Find the inductance of a coil in which a current of 0.2A increasing at a rate of 0.4 CO2 1
A/sec represents a power flow of 0.4 watt.
Q.3: Derive the relation between line and phase voltages in a 3-4, star- connected circuit. CO2 3
A balanced star-connected load of (3+j4) 2/phase is connected to a 3-4, 400 V
supply Calculate the line current, power factor, active and reactive power drawn
from the supply.
Q.4: A series R – L – C circuit consists of R = 1000 Ohm, L = 100 mH and C = 10 µF. CO2 3
The applied voltage across the circuit is 100 V.(i) Find the resonant frequency of the
circuit.(ii) Find the quality factor of the circuit at the resonant frequency. (iii) At
what angular frequencies do the half power points occur? (iv) Calculate the
bandwidth of the circuit.
Q.5: Three impedances of (70.7 + j 70.7) Ohm, (120 + j 160) Ohm and (120 + j 90) Ohm CO2 2
are connected in parallel across a 250 V supply. Determine (i) admittance of the
circuit (ii) supply current and (iii) circuit power factor.
Q.6: Two coils having resistance 5 Ω and 10 Ω and inductances 0.04 H and 0.05 H CO2 2
respectively are connected in parallel across a 200 V, 50 Hz supply. Calculate: (i).
Conductance, susceptance and admittance of each coil. (ii). Total current drawn by
the circuit and its power factor. (iii). Power absorbed by the circuit.
Q.7: A balanced star connected load of (6+j8) ohm per phase connected to a balance 3 CO2 2
phase, 400V supply. Find the line current, power factor, power and total
volt-amperes.
Q.8: If load draws a current of 10A at 0.8 p.f lagging, when connected to 100 volt supply, CO2 2
calculate the values of real, reactive and apparent powers. And also find the
resistance of load.
Q.9: Determine the form factor of AC current i= 200 Sin (157 t + π/6). CO2 1
Q.10: The instantaneous values of two alternating voltages are represented by V₁ = 60 Sin CO2 3
0 and V2 = Sin (0- π/3). Derive an expression of resonance frequency in series
resonance circuit. If the bandwidth of a resonant circuit is 10 KHz and the lower half
power frequency is 120 KHz, find out the value of the upper half power
frequency and the quality factor of the circuit.
Q.11: A balanced delta connected load of (12+j9)/phase is connected to 3- phase 400 V CO2 2
supply. Calculate line current, power factor and power drawn by it.
Q.12: Consider the circuit shown in figure below and calculate the following CO2 3
a. Determine the resonant frequencies, ω(rad/s) and f(Hz) of the tank
circuit.
b. Find the Q of the circuit at resonance.
c. Calculate the voltage across the circuit at resonance.
d. Solve for currents through the inductor and the resistor at resonance.
Q.13: A 3 phase voltage source has a phase voltage of 120V and supplies star connected CO2 2
load having impedance 36+j48Ω per phase. Calculate: (a) line voltage (b) line
current (c) power factor (d) total 3 phase power supplied to the load.
Q.14: A resistance of 15n, choke coil of 0.05 H and the capacitor of 0.03 F are connected CO2 2
in series. Find the impedance of the circuit if frequency is 50 Hz.
Q.15: What is resonance curve and prove the bandwidth of resonant frequency is CO2 2
𝑅
𝑓2 − 𝑓1 = 2π𝐿
Q.16: Derive series resonance frequency in R-L-C circuit. A series R-L-C circuit has CO2 2
R=20 N, L=0.1H and C=0.09F. Determine (i) Resonant frequency (ii) Q factor of
the circuit at resonance. (iii) Bandwidth
Q.17: Explain the phenomenon of parallel resonance circuit. Also derive the formula for CO2 2
resonant frequency of the circuit with a pure capacitor in parallel with a coil having
resistance and inductance as shown figure.
Q.18: A series RLC circuit containing a resistance of 12, an inductance of 0.15H and a CO2 2
capacitor of 100uF are connected in series across a 100V, 50Hz supply. Calculate
the total circuit impedance, the circuits current, power factor and draw the voltage
phasor diagram.
