Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. B = -B₁ cos(wt) ☑ × ☑ ☑ ☑ ☑ ☑ ☑ ☑ ☑ × ☑ ☑ Χ S x Χ ☑ ☑ ☑ × ✓ ☑ ☑ ✗ ☑ ☑ ☑ ☑ ☑ × ✓ ☑ ☑ ✓ Χ ☑ ☑ × ✓ ☑ ☑ ☑ ☑ ✓ ☑ ☑ X ☑ ☑ ☑ ☑ ☑ ☑ ☑ ☑ A square conducting loop of wire of resistance R and sides of length s is placed in a uniform time-varying magnetic field. The magnetic field B is given as a function of time t by the equation B = Bo cos (wt), where w is a positive constant and the negative sign indicates that at t = 0, the magnetic is directed into the page, as shown in the figure. Express your answers to parts (a) through (d) in terms of s, Bo, w, R, and physical constants, as appropriate. (d) On the axes, sketch a graph of the magnitude of the current I induced in the loop as a function of t for the first cycle. The time T for the first cycle is labeled on the horizontal axis. BIU x² X2 C₁ Ω !!! III ☑ ト 12 T (e) At time t = Clockwise 1T, is the current in the loop clockwise or counterclockwise? Justify your answer. Counterclockwise 0 / 10000 Word Limit

Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. B = -B₁ cos(wt) ☑ × ☑ ☑ ☑ ☑ ☑ ☑ ☑ ☑ × ☑ ☑ Χ S x Χ ☑ ☑ ☑ × ✓ ☑ ☑ ✗ ☑ ☑ ☑ ☑ ☑ × ✓ ☑ ☑ ✓ Χ ☑ ☑ × ✓ ☑ ☑ ☑ ☑ ✓ ☑ ☑ X ☑ ☑ ☑ ☑ ☑ ☑ ☑ ☑ A square conducting loop of wire of resistance R and sides of length s is placed in a uniform time-varying magnetic field. The magnetic field B is given as a function of time t by the equation B = Bo cos (wt), where w is a positive constant and the negative sign indicates that at t = 0, the magnetic is directed into the page, as shown in the figure. Express your answers to parts (a) through (d) in terms of s, Bo, w, R, and physical constants, as appropriate. (d) On the axes, sketch a graph of the magnitude of the current I induced in the loop as a function of t for the first cycle. The time T for the first cycle is labeled on the horizontal axis. BIU x² X2 C₁ Ω !!! III ☑ ト 12 T (e) At time t = Clockwise 1T, is the current in the loop clockwise or counterclockwise? Justify your answer. Counterclockwise 0 / 10000 Word Limit

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