SME
College · Engineering
Circuit Analysis II
5 topics
Electrical
Before this course
Topics
Phasors and AC steady state
Main lesson
Phasor form: polar and rectangular
Use this for “Write 10∠36.87° in rectangular form, and −3 − j4 in polar form.”
Reactance and resonance at a frequency
Use this for “Find the reactances of a 0.1 H inductor and a 100 μF capacitor at 60 Hz, and the frequency at which they are equal.”
Parallel RC: impedance from admittance
Use this for “A 50 Ω resistor is in parallel with a capacitor of reactance 25 Ω. Find the impedance and its angle.”
AC power
Main lesson
The power a load impedance draws
Use this for “A 120 V rms source feeds a load Z = 8 + j6 Ω. Find the current and the real and reactive power.”
Power-factor correction with a capacitor
Use this for “A 960 W load runs at power factor 0.8 lagging on 120 V, 60 Hz. What capacitor raises the power factor to 0.95?”
RMS voltage from the peak
Use this for “A sine wave peaks at 170 V. Find its rms value and the average power it delivers to a 60 Ω resistor.”
Frequency response and filters
Main lesson
RC high-pass filter: gain and phase
Use this for “An RC high-pass filter has R = 1 kΩ and C = 0.1 μF. Find its cutoff, and its gain and phase at 159.2 Hz.”
Series RLC band-pass: resonance, Q and bandwidth
Use this for “A series RLC circuit has R = 10 Ω, L = 10 mH and C = 1 μF. Find the resonant frequency, Q and the bandwidth.”
Gains in decibels
Use this for “A filter gives 1 V out for 10 V in. Find its gain in decibels, and the power out when 5 W goes in.”
Transformers
Main lesson
Turns ratio for impedance matching
Use this for “An amplifier with 800 Ω output resistance drives an 8 Ω speaker. Find the turns ratio for maximum power.”
Coupling coefficient and mutual voltage
Use this for “Coils of 4 mH and 9 mH have a mutual inductance of 3 mH. Find k, and v₂ when i₁ rises 1 A in 1 ms.”
Three-phase circuits
Main lesson
Balanced delta load
Use this for “A balanced Δ load of 20 Ω per phase at pf 1 is fed at 240 V. Find the phase and line currents and the power.”
Delta to wye conversion
Use this for “Replace a balanced Δ load of 30 Ω per phase with its equivalent Y, and find the line current at 208 V.”
Two-wattmeter method
Use this for “Two wattmeters on a balanced three-phase load read 1000 W and 2000 W. Find the total power and the power factor.”
Course test
See what you know: 10 questions on this course
New questions each time. Pass to mark it complete.