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Questions and Answers
What is the primary purpose of the Current Divider Rule (CDR)?
What is the primary purpose of the Current Divider Rule (CDR)?
- To simplify complex circuits by combining series resistors.
- To calculate the voltage drop across a single resistor.
- To calculate the total resistance in a parallel circuit.
- To determine how current is divided between parallel branches. (correct)
Kirchhoff's Current Law (KCL) is primarily based on what conservation principle?
Kirchhoff's Current Law (KCL) is primarily based on what conservation principle?
- Conservation of momentum
- Conservation of charge (correct)
- Conservation of mass
- Conservation of energy
What does KVL stand for?
What does KVL stand for?
- Kirchhoff's Voltage Law (correct)
- Kirchhoff's Value Limit
- Kelvin's Voltage Law
- Kirchhoff's Voltage Loop
In mesh analysis, what type of sources are considered when determining the mesh currents?
In mesh analysis, what type of sources are considered when determining the mesh currents?
What is the fundamental principle behind the Thevenin's Theorem?
What is the fundamental principle behind the Thevenin's Theorem?
For maximum power transfer to occur, what should the load resistance be equal to?
For maximum power transfer to occur, what should the load resistance be equal to?
What is the term for the frequency at which the impedance of a series RLC circuit is at its minimum?
What is the term for the frequency at which the impedance of a series RLC circuit is at its minimum?
In a series RLC circuit, what is the phase relationship between current and voltage at resonance?
In a series RLC circuit, what is the phase relationship between current and voltage at resonance?
What does the term 'half-power frequency' refer to in the context of a resonant circuit?
What does the term 'half-power frequency' refer to in the context of a resonant circuit?
What is a practical application of RC circuits?
What is a practical application of RC circuits?
Flashcards
Kirchhoff's Current Law (KCL)
Kirchhoff's Current Law (KCL)
A rule that states the total current entering a junction must equal the total current leaving it.
Mesh Analysis
Mesh Analysis
A circuit analysis technique to find currents in a complex circuit by applying KVL to independent loops.
Thevenin's Theorem
Thevenin's Theorem
A circuit analysis technique simplifying a circuit to a voltage source and series resistance.
Resonance
Resonance
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Half-Power Frequencies
Half-Power Frequencies
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Kirchhoff's Voltage Law (KVL)
Kirchhoff's Voltage Law (KVL)
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Study Notes
- Exam is for Fundamentals of Electrical Engineering EEG 201/211
- There are five questions to answer in 2 hours
Question 1
- Using Ohm's law and Kirchhoff's Current Law (KCL), develop the Current Divider Rule (CDR) for two resistors R1 and R2 connected in parallel
- Show that Ix/Is = (R5(R2 + R3)) / ((R2 + R3)(R5 + R6) + R5*R6 + R4(R5 + R6)) for the circuit of Figure Q.1
- Given R1 = 2.5Ω, R2 = 5Ω, R3 = 25Ω, R4 = 10Ω, R5 = 15Ω, and R6 = 30Ω, calculate:
- Ix if Is = 12mA
- Is if Ix = 12mA
- Ix if I2 = 15mA
- Ix if Is = 60mA
Question 2
- State the steps required for the mesh analysis of electric circuits with and without current sources
- Obtain the Kirchhoff's Voltage Law (KVL) equation for each mesh in the circuit shown in Figure Q.2
- Arrange the equations obtained in (b)(i) in matrix form: [V]=[R][I] and describe the characteristics of the [R] matrix
- Calculate I1, I2, and I3 when V1 = 12V, V2 = 5V, R1 = 50Ω, R2 = R3 = 20Ω, R4 = 10Ω, and R5 = 15Ω
- Find the voltage V across the resistor R4
- Repeat when the direction of the voltage sources is reversed
Question 3
- State Thevenin's theorem
- Obtain Thevenin's equivalent at the terminals a - b of the circuit in Figure Q.3
- Calculate Vx when RL = 12Ω
- Determine the value of RL for maximum power transfer and the corresponding max power transferred
Question 4
- For a series RLC circuit, establish that the resonant frequency ω0 = 1/sqrt(LC) rad/s
- Half-power frequencies w1,2 = -R/(2L) +- sqrt((R/(2L))^2 + 1/(LC))
- A 10mH inductor with an internal resistance of 5Ω is connected in series with a capacitor and a voltage source with Thevenin equivalent resistance of 15Ω
- Find the capacitance value that will produce resonance at 2krad/s
- Find the quality factor of the circuit
- Find the bandwidth of the circuit
Question 5
- State three practical applications of the RC circuits
- Derive the expressions for V when the switch s is at terminals a and b based on Figure Q.5a
- Given Vc(0) = 30V in the circuit displayed in Figure Q.5b, determine Vc, Vx, and ix for t >= 0
- Repeat the above process when the 12Ω resistor is replaced by a 6Ω resistor
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