According to the figure, a uniform bar of length L carries a current I in the direction from point "a" to point "b". The bar is in a uniform magnetic field directed toward the page. Consider the torque about an axis perpendicular to the bar at point "a" produced by the force that the magnetic field exerts on the bar. Based on the above, answer the following questions: a. Calculate the magnetic force on the bar, magnitude, and direction, in terms of the given quantities. b. Calculate the net torque on the bar about the axis through a and explain how the bar would rotate. c. What must the current I be in the bar for it to be in rotational equilibrium when it is at an angle 0 = 30° above the horizontal? If the bar has a mass of 0.0120 kg and is 30 cm long and rotates without friction about an axis perpendicular to the bar at point a and is in a uniform magnetic field directed toward the page and has a magnitude B = 0.150 T. (The gravitational force on the bar acts in the -y direction) d. How can the direction of a magnetic field be determined solely from qualitative observations of the magnetic force on a straight, current-carrying wire? explain in detail
According to the figure, a uniform bar of length L carries a current I in the direction from point "a" to point "b". The bar is in a uniform magnetic field directed toward the page. Consider the torque about an axis perpendicular to the bar at point "a" produced by the force that the magnetic field exerts on the bar. Based on the above, answer the following questions: a. Calculate the magnetic force on the bar, magnitude, and direction, in terms of the given quantities. b. Calculate the net torque on the bar about the axis through a and explain how the bar would rotate. c. What must the current I be in the bar for it to be in rotational equilibrium when it is at an angle 0 = 30° above the horizontal? If the bar has a mass of 0.0120 kg and is 30 cm long and rotates without friction about an axis perpendicular to the bar at point a and is in a uniform magnetic field directed toward the page and has a magnitude B = 0.150 T. (The gravitational force on the bar acts in the -y direction) d. How can the direction of a magnetic field be determined solely from qualitative observations of the magnetic force on a straight, current-carrying wire? explain in detail
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