* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Physics 121 Practice Problem Solutions 13 Electromagnetic
Stepper motor wikipedia , lookup
Mercury-arc valve wikipedia , lookup
Three-phase electric power wikipedia , lookup
Brushed DC electric motor wikipedia , lookup
Ground (electricity) wikipedia , lookup
Stray voltage wikipedia , lookup
Spark-gap transmitter wikipedia , lookup
Electric machine wikipedia , lookup
Surge protector wikipedia , lookup
Capacitor discharge ignition wikipedia , lookup
Electrical ballast wikipedia , lookup
Mains electricity wikipedia , lookup
Power MOSFET wikipedia , lookup
Current source wikipedia , lookup
Switched-mode power supply wikipedia , lookup
Opto-isolator wikipedia , lookup
Earthing system wikipedia , lookup
Resistive opto-isolator wikipedia , lookup
Resonant inductive coupling wikipedia , lookup
Alternating current wikipedia , lookup
Physics 121 Practice Problem Solutions 13 Electromagnetic Oscillations AC Circuits Contents: 121P13 - 2P, 3P, 9P, 33P, 34P, 36P, 49P, 51P, 60P, 62P • • • • • • • Recap Mechanical Harmonic Oscillator Electrical – Mechanical Analogy LC Circuit Oscillations Damped Oscillations in an LCR Circuit AC Circuits, Phasors, Forced Oscillations Phase Relations for Current and Voltage in Simple Resistive, Capacitive, Inductive Circuits. Fall 2012 PROBLEM 121P13-2P*: In an oscillating LC circuit, L = 1.10 mH and C = 4.00 µF. The maximum charge on the capacitor is 3.00 µC. Find the maximum current. Fall 2012 PROBLEM 121P13-3P*: An oscillating LC circuit consists of a 75.0 mH inductor and a 3.60 µF capacitor. If the maximum charge on the capacitor is 2.90 µC, (a) what is the total energy in the circuit and (b) what is the maximum current? Fall 2012 PROBLEM 121P13-9P: In an oscillating LC circuit with L = 50 mH and C = 4.0 µF, the current is initially a maximum. How long will it take before the capacitor is fully charged for the first time? Fall 2012 PROBLEM 121P13-33P: a) At what frequency would a 6.0 mH inductor and a 10 µF capacitor have the same reactance? (b) What would the reactance be? (c) Show that this frequency would be the natural frequency of an oscillating circuit with the same L and C. Fall 2012 PROBLEM 121P13-34P*: An ac generator has emf = m sin ωdt, with m = 25.0 V and ωd = 377 rad/s. It is connected to a 12.7 H inductor. (a) What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c) When the emf of the generator is -12.5 V and increasing in magnitude, what is the current? Fall 2012 PROBLEM 121P13-36P: The ac generator of Problem 34 is connected to a 4.15 µF capacitor. (a) What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c) When the emf of the generator is -12.5 V and increasing in magnitude, what is the current? Fall 2012 PROBLEM 121P13-49P: What direct current will produce the same amount of thermal energy, in a particular resistor, as an alternating current that has a maximum value of 2.60 A? Fall 2012 PROBLEM 121P13-51P: What is the maximum value of an ac voltage whose rms value is 100 V? Fall 2012 PROBLEM 121P13-60P: A typical “light dimmer” used to dim the stage lights in a theater consists of a variable inductor L (whose inductance is adjustable between zero and Lmax) connected in series with the lightbulb B as shown in the figure. The electrical supply is 120 V (rms) at 60.0 Hz; the lightbulb is rated as “120 V, 1000 W.” (a) What Lmax is required if the rate of energy dissipation in the lightbulb is to be varied by a factor of 5 from its upper limit of 1000 W? Assume that the resistance of the lightbulb is independent of its temperature. (b) Could one use a variable resistor (adjustable between zero and Rmax) instead of an inductor? If so, what Rmax is required? Why isn't this done? Fall 2012 PROBLEM 121P13-62P: A generator supplies 100 V to the primary coil of a transformer of 50 turns. If the secondary coil has 500 turns, what is the secondary voltage? Fall 2012