5. A stiff wire bent into a rectangular shape with sides a and b is connected to the rest of the circuit with resistance R and X x x X x X immersed in the uniform magnetic field B, pointing into the paper, as depicted in Figure. At time t = 0 the normal of the rectangle is parallel with the direction of the magnetic field, and we start rotating it with angular frequency o. (as depicted in Figure.). X X X x a X X X Ix X хх хх x xBx X X X X x X X X X (a) Determine the induced electromotive force as a function R of time t>0 (and a, b, w , B). (b) Determine the torque as a function of time (and a, b, o , B, R), needed to keep the rectan- gular shape rotating. (c) Determine the rate at which the energy dissipates in the circuit (in terms of a, b, w , B, R

Need help figuring out: Using the standard cartesian coordinate system, which of the following vectors have a NEGATIVE X-COMPONENT? Choose all that do.

Two vectors are defined in component form below. Use them to answer the following questions. Note: ,ŷ, and 2 are Cartesian unit vectors. H = -5ŷ + 42 G = -5x + 22 a) Determine A if A = H.G. b) If] = G., then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. ii. A = -J A = J c) Determine C in component form if C = H x G. d) If K = G x A, then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. C = -K ii. iii. iv. C = R K C. K = 0 |× K = 0

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