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UMHB ENGR 1310 - Electrical Practice Problems

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Electrical Practice ProblemsEGR 1301Voltage, Current, and Power in Resistive Circuits:1. Find the current, I, in the circuit below. 2. Given the current I = 5 A, find the value of the second resistor, R. 3. Replace the three resistors with a single resistor, Req. Find Req in terms of R. 4. Given V = 10 V and R = 30 Ω, find the power delivered to each of the three resistors ofproblem #3. What power is delivered to Req? Does this comply with conservation of energy?5. Given the Power delivered to the 1 Ω resistor is 9 W, what power is delivered to the 20 Ω resistor?Capacitors, Inductors, Transformers:6. What energy is stored in the capacitor shown?7. What energy is stored in an inductor L=200 mH if the current passing through it is 2 A?8. Resonance may be defined as the periodic transference of energy from type to another. For instance, mechanical resonance can be seen in a vibrating mass on a spring. When the spring is compressed or elongated, it stores potential energy. As the spring moves through its natural (unstretched) length, the velocity of the mass (and hence its kinetic energy) are at a maximum. So in this way energy is transferred back and forth between potential and kinetic. Electrical circuits can behave in the same way. When an inductor and capacitor are connected together, electrical resonance can occur. This is the transference of energy from the electric field of the capacitor to the magnetic field of the inductor (or voltage to current). The the initial voltage of the capacitor is 100 V. a) What energy is stored in the capacitor?b) Given the initial current through the circuit is zero, what is the maximum current the inductor will experience? 9. Recall that transformers do not create or destroy energy, they only change its “flavor” by changing the voltage and current. Given this fact and the following input conditions (left hand side), a) what is the input power? b) what is the output current?10. A mile-long transmission line has a resistance of 10 Ω. Calculate the power lost in the line with and without the transformer of problem #9. 11. Determine the truth table and Boolean expression for the digital logic circuit shown:12. Determine the truth table and Boolean expression for the digital logic circuit shown:13. Given the Boolean expression CBAF , draw a circuit to accomplish this logic. Also create a truth table.14. Given the Boolean expression ABAF  )(.Answers:1. 0.2 A or 200 mA2. 8 Ω3. Req=R/34. 3.33 W, 10 W, yes because Req represents three resistors, 10W ÷ 3 ≈ 3.33 W5. 2.25 W6. 50 µW7. 400 mW8. a) 500 W, b) 22.36 A9. a) 10,000 W, b) Iout = 1 A10. 4000 W and 10 W respectively. That’s why we use transformers!11. BBAF  )( and 12. )()( CBBAF  and 13. One schematic (of infinitely many) is:14. A B F0 0 00 1 11 0 01 1 0A B C F0 0 0 00 0 1 00 1 0 00 1 1 01 0 0 01 0 1 01 1 0 11 1 1 1A B CBA BA CBAF  )(0 0 0 0 1 10 0 1 0 1 00 1 0 0 1 10 1 1 0 1 01 0 0 0 1 11 0 1 0 1 01 1 0 1 0 01 1 1 1 0


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