32. An alternating current generator in the United Kingdom generates current with a frequency of 50 Hz.Suppose that initially, the current is at its maximum of 12 amperes. If the current varies in simpleharmonic motion over time, write a model for the current I (in amperes) as a function of the time t (inseconds).The angular displacement 0 (in radians) of a pendulum swinging through a small angle with limited airresistance and internal friction can be approximated by the simple harmonic motion models 0 = a sin otor 8 = a cos ot. The period T (time required for one back-and-forth swing) is given byT- 27where L is the length of the pendulum and g is the acceleration due to gravity. The maximum angulardisplacement is |a| and positive angles are taken to the right of the center position. Use this informationfor Exercises 33-34.

Answered: Image /qna-images/answer/b302d1a4-e380-4c3f-89f9-3843ade2ef1d.jpg

An alternating curent generator in the United Kingdom generates current with a frequency of 50 Hz. Suppose that initially, the current is at its maximum of 12 amperes. If the current varies in simple harmonic motion over time, write a model for the current I (in amperes) as a function of the time t (in seconds).

An alternating curent generator in the United Kingdom generates current with a frequency of 50 Hz. Suppose that initially, the current is at its maximum of 12 amperes. If the current varies in simple harmonic motion over time, write a model for the current I (in amperes) as a function of the time t (in seconds).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

In this experiment, students have utilized a long field coil (750mm, 484 turns/m), a short induction coil (300 turns, 32 mm diameter), a function generator, a voltmeter and an ampere meter. In this setup, field coil is connected in series with an ampere meter which is connected to a function generator to act as an adjustable frequency AC (alternating current) voltage supply. Induction coil is placed inside the field coil and connected to a voltmeter as shown in the picture below. At a fixed frequency of 20 kHz they have changed the applied voltage and recorded readings of the ampere meter and volt meter. With these results they have constructed the graph below and fitted their results to a linear regression and obtained the equation shown in the graph; 320 y = 21.57x + 61.13 R? = 0.98 240 160 80 2 4 8. 10 l6 (mA) Calculate the magnetic constant from these experimental data by utilizing the slope of the given graph and compare your result with theoretical data by calculating error…
Consider a simple circuit that has a variable DC power supply connected to a resistor. The power supply is set up to steadily increase its voltage at a constant rate of u volts per second. The displacement current in this circuit is: O steadily decreasing with time zero O steadily increasing with time constant
An LC circuit has a capacitance of 100 µF and an inductance of 10 mH. At time t = 0, the charge on the capacitor is 60 µC and the current in the circuit is 80 mA. What is the charge on the capacitance when the current in the circuit is zero?
A place has electrical outlets which is supply alternating currents with V rms = 114 V and I rms = 11 A. If at time t = 2.10 ms, the instantaneous voltage is half the maximum, what is the frequency of oscillation in Hz of the alternating currents and voltages? Note: 39.86 Hz is wrong
A piece of electrical component inside a gaming laptop uses a source of electromotive force, resistor, and inductor. If the voltage, resistance, and inductance are 4 volts, 2 ohms, and 1 henry, respectively, what is the current along the circuit after 2 seconds when the initial current applied to the circuit is 0.6 amperes? Assume Kirchhoff's Voltage Law applies which states that travelling around any loop/circuit, the gains and losses of voltage across the elements add up to zero. Do not round off intermediate steps. Round off the final answer to two decimal places.
A 60-Hz AC generator develops a peak voltage of 170- V. The generator is connected to a lightbulb whose resistance when operating is 24002. Calculate an expression for the variation of current through the bulb with time.
A generator is connected across the primary coil (Np = 150 turns) of a transformer, while a resistance R2 = 24 Ω is connected across the secondary coil (Ns = 35 turns). This circuit is equivalent to a circuit in which a single resistor R1 is connected directly across the generator, without the transformer. What is R1?
The current in the RL circuit shown below reaches half its maximum value in 0.5 ms after the switch S1 is thrown. Determine (a) the time constant of the circuit and (b) the resistance of the circuit if L = 200 mH. R Hints a. The time constant is TL = ms. b. The resistance R is Ω.
A transformer has a primary coil with 325 turns of wire and a secondary coil with 650 turns. An AC voltage source connected across the primary coil has a voltage given by the function Δv = (140 V)sin(ωt). What rms voltage (in V) is measured across the secondary coil? V
A 0.185 H inductor is connected in series with a 94 resistor and an ac source. The voltage across the inductor is VL = −(11.0V) sin[(490rad/s)t]. Part A Derive an expression for the voltage VR across the resistor. Express your answer in terms of the variables L, R, V₁ (amplitude of the voltage across the inductor), w, and t. UR = Submit Π ΑΣΦ Request Answer ?
In an ideal transformer, it is known that the primary coil has 200 turns and the secondary coil has 10 turns. A. If the secondary coil has voltage of 10 V what is the voltage in the primary coil? B. When we say that U.S AC voltage is 120 V what does this voltage refer to? Name the voltage.
An RC circuit has a 5kΩ resistor and a 1μF capacitor. This circuit is driven by a 100Hz sine wave with 1V amplitude. What is the amplitude of the current in the circuit?