please do fastA rectangular loop of width w and height h is set in the plane of the page so that one side is a distance s from a long cable. The long cable carries a current I. A rectangular loop of width w and height h is set in the plane of the page so that one side is a distances from a long cable. The long cable carries a current I.[Hint: Type "pi" for π and "mu_0" for μo.](a) Write an expression for the magnetic flux through the loop in terms of I, w, h, and s.mu_0lw/(2pi)ln((h+s)/s)WThe current in the wire decreases according to the equation I = Ae-kt. The rectangular loop has a resistance R. Answer the following in terms of A, k, R, w, h, and s.(b) Write an expression for the current induced in the loop as a function of time.Iloop=(c) What is the total energy dissipated in the loop from t = 0 to t = infinity?

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A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. A long, straight, horizontal wire carries current I toward the right. A rectangular loop of wire, with length L and height w, lies below the straight wire. The length is parallel to the straight wire, and the top edge of the loop is a distance h below the straight wire. (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: ?0.) ΦB = (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf (in V) that is induced in the loop if b = 20.0 A/s, h = 1.00 cm, w = 20.0 cm, and L = 1.25 m. How do you determine the induced emf from your equation for the flux from part (a)? V (c) What is the direction of the induced current in the rectangle?…
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