Consider the rectangular loop in Figure (Q1). The width (\(l\)) of the loop is constant, but its length (\(x\)) is increased uniformly with time by moving the sliding conductor at a uniform velocity (\(v\)). The flux density (\(B\)) is normal to the plane of the loop and its magnitude varies harmonically with respect to time, given by\[ B = B_0 \cos(\omega t) \]Find the total emf induced in the loop.**Diagram Explanation:**The diagram shows a rectangular loop with one of its sides being a sliding conductor. The width of the loop is marked as \(l\) and remains constant. The length of the loop changes over time as the sliding conductor moves to the right with a uniform velocity (\(v\)). The magnetic flux density, \(B\), is perpendicular to the plane of the loop, implying it points inward or outward relative to the loop. It changes harmonically with time, as expressed by the equation \(B = B_0 \cos(\omega t)\), where \(B_0\) is the maximum flux density and \(\omega\) is the angular frequency.The challenge is to determine the electromotive force (emf) induced in the loop as a result of the changing magnetic flux, due to both the motion of the conductor and the harmonic variation of the magnetic field.

Given: The width of the loop is l The length of the loop varies with time is x The conductor sliding…

Consider the rectangular loop in Figure (Q1). The width (1) of the loop is constant, but its length (x) is increased uniformly with time by moving the sliding conductor at a uniform velocity (v). The flux density (B) is normal to the plane of the loop and its magnitude varies harmonically with respect to time, given by B = B, cos(wt) Find the total emf induced in the loop. OB Sliding conductor

Consider the rectangular loop in Figure (Q1). The width (1) of the loop is constant, but its length (x) is increased uniformly with time by moving the sliding conductor at a uniform velocity (v). The flux density (B) is normal to the plane of the loop and its magnitude varies harmonically with respect to time, given by B = B, cos(wt) Find the total emf induced in the loop. OB Sliding conductor

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