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An inventor has a rough design for a light fixture with a dimmer knob. The fixture contains a 50-µF capacitor, an inductor, and a 100-W light bulb , forming a series RCL circuit. The idea is that when the dial is set to MAX, the resonant frequency of the circuit is 60 Hz, the frequency of the standard household ac service in the US. Thus, the circuit is at resonance, and the light bulb operates at 100 W. Turning the dimmer knob down from MAX gradually pulls a thin cardboard sheet out from between the capacitor's plates, decreasing its capacitance and thereby changing the circuit's resonant frequency. This lowers the power output of the bulb, dimming it. When the knob is turned to MIN, the cardboard sheet is completely out of the capacitor, and the bulb is meant to be operating at just 40 W.
Question: will the fixture work as designed? If not, should a material with a higher or lower dielectric constant should be used in constructing the capacitor?
The moon is a satellite that orbits the earth at a radius of 3.85 108 m. What is the orbital speed of the moon
Consider the system with m1 = 24kg, m2 = 14.60kg, R = 0.1400m, and the mass of the pulley M = 5.0kg. Object m2 is resting on the floor, and object m1 is 4.600m above the floor when it is released from rest. The pulley axis is frictionless. The cor..
Astronomers have observed a planet orbiting a near-by star. Through close observation, What is the velocity at apogee, in km/s, for the planet
At rest, a car's horn sounds the note A (440 Hz). The horn is sounded while the car is moving down the street, What is the speed of the car
You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the empire state building. Before the state legislature votes on funding for the project.
A copper bar 2.5 m long has a circular cross section of radius 2 cm. One end is kept at 80 oC and the other end is kept at 0 oC. what is the thermal current in the copper bar
One force is 60.0 N along the x-axis, the second is 75.0 N along a direction making a counterclockwise angle of 150.0° with the x-axis. Illustrate what is the magnitude of the third force?
What temperature change would reason a 0.20 % enhance in the volume of a quantity of water that was at first at 20 ^circ {rm C}.
A 40-N crate rests on a rough horizontal floor. A 12- N horizontal force is then applied to it. find the magnitude of the frictional force on the crate
An osprey's call is a distinct whistle at 2200 Hz. An osprey calls whereas diving at you, to drive you away from her nest. You hear call at 2220 Hz. How fast is the osprey approaching.
To get to a concert in time, a harpsichordist has to drive 120 miles in 2.09 hours. What is his average velocity for the entire trip
A 193 kg satellite is in a circular orbit of 26,273 miles (42,300,000 m) in radius. compute the velocity (speed) of the satellite
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