What is the magnetic flux through the loop shown in FIGURE EX30.4?
The net magnetic flux through the loop, .
A magnetic flux seems to be the magnitude of magnetic field which passes through some kind of ring of area . If the magnetic field lies straight towards the plane's normal, This magnetic flux was provided by
The magnetic flux, however, would be supplied by if the magnetic field forms an angular position only with planes.
While denotes the magnetic field as well as denotes a substring circumference. Magnetic fields of various types and sizes and inclinations are required. Because the magnetic field of is directed through into sheet, whose angle was . So the magnitude of the flux of is
Since 's magnetic field is beyond the sheet, whose inclination is
Since the total flux through into the looping is equal to the amount of the two fluxes, the total combined flux is
One possible concern with MRI (see Exercise 28) is turning the magnetic field on or off too quickly. Bodily fluids are conductors, and a changing magnetic field could cause electric currents to flow through the patient. Suppose a typical patient has a maximum cross section area of . What is the smallest time interval in which a magnetic field can be turned on or off if the induced around the patient's body must be kept to less than ?
Your camping buddy has an idea for a light to go inside your tent. He happens to have a powerful and heavy horseshoe magnet that he bought at a surplus store. This magnet creates a field between two pole tips apart. His idea is to build the hand-cranked generator shown in FIGURE .He thinks you can make enough current to fully light a lightbulb rated at . That’s not super bright, but it should be plenty of light for routine activities in the tent.
a. Find an expression for the induced current as a function of time if you turn the crank at frequency . Assume that the semicircle is at its highest point at .
b. With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Is this feasible?
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