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Sheet 3 Circuit 3

The document outlines a series of problems related to parallel resonance in electrical circuits for a second-year electrical engineering course. It includes calculations for resonant frequency, total impedance, quality factor, bandwidth, and other parameters for various circuit configurations. The problems involve both ideal and practical components, requiring students to apply theoretical concepts to determine circuit characteristics.

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27 views2 pages

Sheet 3 Circuit 3

The document outlines a series of problems related to parallel resonance in electrical circuits for a second-year electrical engineering course. It includes calculations for resonant frequency, total impedance, quality factor, bandwidth, and other parameters for various circuit configurations. The problems involve both ideal and practical components, requiring students to apply theoretical concepts to determine circuit characteristics.

Uploaded by

diaaelsagheer
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Sohag University Year 2020/2021

Faculty of Engineering 2nd year elec.


Electrical Engineering department Electrical Circuits (3)
SHEET 3
PARALLEL RESONANCE
(1) A parallel network composed of ideal elements as foolows:
Ideal current source with 10 mA , resistance of 10 kilo ohm , pure inductance with 1 mH and a
capacitor with 1 micro Farad.
a- Determine the resonant frequency
b- Find the total impedance at resonance
c- Calculate the quality factor, bandwidth, and cut-off frequencies f1 and f2 of the system.
d- Find the voltage across the capacitor at resonance
e- Determine the currents through the inductor IL and capacitor IC at resonance.

(2) A parallel resonant circuit consists of a practical coil with a resistance rL=50 ohm and an
inductive reactance L in parallel with a capacitor with a capacitive reactance Xc. If at
resonance, the total impedance of the circuit ZT is resistive and equals 50 kilo ohm. A 120 V
voltage source is applied to the circuit .Find:
a- XL and Xc
b- The resonance frequency if L=16 mH
c- The value of C

(3) A practical coil with Rs=2 ohm and XLS=40 ohm is connected in parallel with pure capacitor
with a capacitive reactance Xc is fed from a constant sinusoidal current source Is=3 mA.
a- Find the quality factor Qs, the capacitive reactance XC
b- Calculate the bandwidth B.W. for fp=30 kHz and the voltage across the capacitor at
resonance V0.

(4) A parallel resonance circuit has a resistance of 2 kilo ohm and half-power frequencies of 86
kHz and 90 kHz. Determine:
a- the capacitance
b- the inductance
c- the resonant frequency
d- the bandwidth
e- the quality factor
(5) A parallel RLC circuit is resonant at 5.6 MHz, has a Q of 80, and has a resistive branch of 40
ohm. Determine the values of L and C in the other two branches

(6) Find the resonant frequency and quality factor for the following circuits

(7) The network shown is connected to an ac current supply


with 5 mA magnitude and angle zero.
Given that R=40 kilo ohm & Ls= 200 mH with Qs=20 and C= 0.01
micro farad.
a- Find resonant frequency
b- Calculate the magnitude of Vc at resonance
c- Determine the power dissipated at resonance
d- Find the B.W.

(8) Determine the capacitance of the circuit so that it will resonant at 22.3 kHz and have a
bandwidth of 4.05 kHz ,when including a coil whose resistance an inductance are 56 ohm and
3.2 mH respectively; assume the circuit is supplied by a current source whose source
resistance is 8081 ohm.

Best regards,

Dr. Ahmed Refai

Eng. Abdel Hady Ramadan

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