An equilateral triangle on a side is in a uniform magnetic field. The magnetic flux through the triangle is . What is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?
The angle between the magnetic field and an axis perpendicular to the plane of the triangle,
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.
The entire area of a triangle is equal to half of it's own base times its height. The Pythagoras equation is used to compute the altitude.
Therefore the area of a triangle,
Then align the equation for to obtain
Then put the data for , and to the equation(3) to obtain
I A 20-cm-long, zero-resistance slide wire moves outward, on zero-resistance rails, at a steady speed of in a magnetic field. (See Figure 30.26.) On the opposite side, a carbon resistor completes the circuit by connecting the two rails. The mass of the resistor is .
a. What is the induced current in the circuit?
b. How much force is needed to pull the wire at this speed?
c. If the wire is pulled for , what is the temperature increase of the carbon? The specific heat of carbon is.
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