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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

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

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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 X X x b X X 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 @. (as depicted in Figure.). a X X X X X хх X X хх xBx X X X хх хх (a) Determine the induced electromotive force as a function of time t>0 (and a, b, w , B). R (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, , B, R and t).
Transcribed Image Text: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 X X x b X X 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 @. (as depicted in Figure.). a X X X X X хх X X хх xBx X X X хх хх (a) Determine the induced electromotive force as a function of time t>0 (and a, b, w , B). R (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, , B, R and t).
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