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The astronomical object 4U0142+61 has the distinction of creating the most powerful magnetic field ever observed. This object is referred to as a "magnetar" (a subclass of pulsars), and its magnetic field is 1.32E+15 times greater than the Earth's magnetic field. Suppose a 3.49 m straight wire carrying a current of 2.29 A is placed in this magnetic field at an angle of 70.3 ° to the field lines.
a) What force does this wire experience?
b) A field this strong can significantly change the behavior of an atom. To see this, consider an electron moving with a speed of 2.80E+6 m/s. What is the maximum magnetic force exerted on the electron?
c) Calculate the ratio of this magnetic force to the electric force a proton exerts on an electron in a hydrogen atom. The radius of the hydrogen atom is 5.29E-11 m.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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