A very long flat conducting strip of width d and negligible thickness lies on a horizontal plane and carries a uniform current I across its cross section. a) Show that at points a distance y directly above from its center the field is given by:.
B = μ0/πd arctan (d/2y)
assuming the strip is infinitely long. [Hint: Divide the strip into many thin "wires" and sum (integrate) over these]
b) What value does B approach for y >> d ? Does this make sense? Explain.

What is created when solids,liquids,an gases mix with one another

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

Unpolarized light whose intensity is 1.19 w/ is incident on a polarizer. (a) what is the intensity of the light leaving the polarizer? (b) if the analyzer is set at an angle of = 41.0∘ with respect to the polarizer, what is the intensity of the light that reaches the photocell?