Question

Let’s say you want to “float” a section of copper wire, which is 7.65 cm long and 2.34 mm in diameter within the magnetic field of Earth near the Earth’s surface. Assume the magnetic field of Earth makes a 31° with respect to the horizontal and has a magnitude of 3.5.×10-5 T. The current is flowing from west to east. See the diagram given below.

Let's say you want to "float" a section of copper wire, which is 7.65 cm long and 2.34 mm in diameter within the magnetic field of Earth near the Earth's surface. Assume the magnetic field of Earth makes a 31° with respect to the horizontal and has a magnitude of 3.5. 10-5 T. The current is flowing from west to east. See the diagram given below. 5.Draw a Free Body Diagram of the wire. 22 degrees B 6. What is the value of current needed to suspend this section of copper wire? 7. What is the emf as a function of time produced in the wire due to its unbalanced force? How would this effect the current in the wire? Would its vertical position increase, decrease, or stay the same?

Answer 1

ide x3 = 1 Free Body Diagram : Eg = mg 6) To suspend it, it must be balanced 1781 lg! => ildel B sno=mg =) il B sine mg =) i = mg e B sino =) iz à x (1.17 x 10 3 ² x 7.6540x9.8 x 8940 (7 65x1 x3.5810 -) ; = 3:14 x( 19 )? x 19.8 x8946 3.5x0.515 x 0.515 5 A = 52.08 XLO f mg - iLB a: 9) Motion al Emf = VBL m -) 4V mg -LB z> EM F = (mg-iLB). Bet at iLB =) v = (mg - iLB) + BLt =) Emf= قه This would deer oppose the mo increase the current as the magnetic field (the angle between magnetic field and wire deseas es :) Its vertical position would nemarn same.