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Review & Practice for Basic Electricity, By C-C Tsai June 2016 Contents Determine the total inductance LT for Inductors in Series and parallel. Determine the self-induced voltage VL for an Inductor entered into a varying current. Explain how to generate a power for storing energy into battery. Determine the total capacitance CT for Capacitors in Series and parallel. Determine the distributed voltage VC for Capacitors in Series and parallel. Determine the voltage VC for Capacitors charging and discharging. Determine the voltage or current for a circuit containing R, C, and L in DC steady state. Determine the voltage or current for a resitive circuit containing at least one color-code resistor. Determine the limited resistance Rs for turning on multiple LEDs in series and parallel. Determine the voltage Va using Millman’s theorem for a resistive circuit. Determine the loading resistance RL using Maximum power transfer for a resistive circuit. Determine the voltage or current for a resistive circuit using Source conversion. Determine the voltage or current for a resistive circuit using Nodal analysis. Determine the voltage or current for a resistive circuit using Superposition theorem. Determine the voltage or current for a Bridge network. Determine the voltage or current for a resistive circuit using Thevenin’s theorem. Determine the voltage or current for a resistive circuit using Delta-Wye conversion. Determine the total inductance LT for Inductors in Series and parallel. Given L1=1mH, L2=4.4mH, L3=3mH, L4=1.6mH, L5=8mH, and L6=2mH, determine the total inductance LT. L1 LT L2 L3 L4 L5 L6 Determine the induced voltage VL for an Inductor entered into a varying current. Determine VL if L= 0.75H with a varying current i. Explain how to generate a power for storing in battery in your motorcycle. Faraday’s Law: Voltage is induced in a circuit whenever the flux linking the circuit is changing Lenz’s Law: Polarity of the induced voltage opposes the cause producing it Determine the total capacitance CT for Capacitors in Series and parallel. Given C1=2F, C2=8F, C3=0.6F, and C4=1.8F, find the total capacitance CT. C2 18V C3 C4 C1 Determine the distributed voltage VC for Capacitors in Series and parallel. Given C1=2F, C2=8F, C3=0.6F, and C4=1.8F, find the voltage VC3 and the energy of C4. C2 18V C3 C4 C1 Determine the voltage VC for the circuit of Capacitors charging and discharging. Given R=2k and C=100F and an input Vin, plot the waveform of the voltage VC and mark the voltages at t=0.4s, 1.0s, 1.6s, and 2.0s. 10V Vin R Vin C VC 0 0.4 1.0 1.6 2.0 t(s) Given R=10K and C=47F, and if Vc3.16V can start the alarm, how long the input voltage will be started up to 5V. Determine the voltage or current for a circuit containing R, C, and L in DC steady state. Given E=24V, R1=3k, R2=6k, R3=2k, and R4=4k, determine VC1 if the circuit is DC steady state. R1 E R3 R2 C1 R4 Given E=12V, R1=1.6k, R2=4k, R3=6k, R4=3k, and L1=0.5H, determine IR1 if the circuit is DC steady state. R1 E R3 R2 C1 L1 R4 Determine the resistance R for a color-code resistor. Given RS=0.25k, R1=2k, and R2=orange-black-red-gold, determine VR2. RS R1 R2 E=24V Given RS=0.5k, R1=2k, R2=4k, and R3=yellow- black-red-gold, determine IR3. RS R1 R2 R3 E=24V Determine the limited resistance Rs for turning on LEDs in series or parallel. A normal-on LED has the forward voltage 1.5V and forward current 10mA, find the proper resistance RS and RS2 such that their circuits can drive these LEDs. RS2 Rs E=24V V1 12 V Determine the voltage Va using Millman’s theorem for a resistive circuit. Given R1=3k, R2=6k, R3=12k, and RL=2k, find VRL using Millman’s theory. R1 R2 R3 12V 18V 24V RL Given R1=3k, R2=6k, R3=12k, and RL=2k, find VRL using Millman’s theory. R1 R2 R3 18V 12V 36V RL Determine the loading resistance R using Maximum power transfer for a resistive circuit. Given R1=4k, R2=12k, R3=2k, R4=6k, and R5 =1.5k, determine RL such that can get maximum power transfer. R1 R3 R5 R2 R4 8V RL 12V 4mA Given R1=4k, R2=16k, R3=2k, R4=6k, and R5 =1.5k, determine RL such that can get maximum power transfer. R1 R3 R2 R5 R4 RL 8V 12V 4mA Determine the voltage or current using Source conversion for a resistive circuit. Given R1=1k, R2=2k, R3=4k, and RL=3k, determine IRL using source conversion. R1 R3 R2 E=8V I=4mA IRL RL Determine the voltage or current using Nodal analysis for a resistive circuit. Given R1=1k, R2=2k, R3=4k, and RL=3k, determine IRL using Nodal analysis. R1 R3 R2 E=8V I=4mA IRL RL Determine VR2 using Nodal analysis. R3 6Ω I2 I1 3A R1 10Ω 2A R2 4Ω Determine the voltage or current using Superposition theorem for a resistive circuit. Given R1=1k, R2=2k, R3=4k, and RL=3k, determine IRL using Superposition theorem. R1 R3 R2 E=8V I=4mA IRL RL Determine the voltage or current for a Bridge network. Given R1=4k, R2=5k, R3=8k, and RL=0.5k, determine R4 such that the current IRL is zero. R1 R2 RL E=36V IRL R3 R4 Determine the voltage or current using Thevenin’s theorem for a resistive circuit. Given R1=3k, R2=5k, R3=7k, R4=5k, and RL=0.4k, determine the current IRL. R1 R2 RL E=24V IRL R3 R4 Determine the voltage or current using Delta-Wye conversion for a resistive circuit. Determine the voltage Vo using and Y conversion. 30Ω Vo 10Ω I1 1A 30Ω 10Ω 10Ω 30Ω V1 10 V