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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" that produces the force that the magnetic field exerts on the bar.
Based on the above, answer the following question:
Calculate the net torque on the bar around the axis passing through "a" and explain how it would rotate.


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- Write down an expression for the net force along the (tangentially to) arc of motion on a simple pendulum made of a metal rod of the length l and the mass m carrying the current I . The rod is suspended by the middle on a weightless wire of the length L in the magnetic field B and the gravitational field g perpendicular to the rod (see picture below).The net force on a current loop in a uniform magnetic field is zero. But what if B is not uniform? The figure (Figure 1) shows a square loop of wire that lies in the xy-plane. The loop has corners at (0, 0), (0, L), (L, 0), and (L, L) and carries a constant current I in the clockwise direction. The magnetic field has no x-component but has both y- and z- components: B = (Boz/L) j+ (Boy/L) Ê, where Bo is a positive constant. Figure (0, L) y (0, 0) (L, L) (L, 0) 1 of 1 X Part F Find the direction of the force on side 1, that runs from (L, L) to (L, 0). O OOOO +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction O Submit Previous Answers Correct ▼ Part G Find the magnitude of the force on side 4, that runs from (L, 0) to (0,0). Express your answer in terms of the variables Bo, L, and I. Π ΑΣΦ F4 = Doarson **** ?Each of two long straight parallel wires 5 cm apart carries a current of 100 A. The figure shows a cross section, with the wires running perpendicular to the page and point P lying on the perpendicular bisector of the line between the wires. Find the magnitude and direction of the magnetic field at P when the current in the left-hand wire is out of the page and the current in the right-hand wire is also out of the page. (I have attached a photo of the figure) a)What is the magnitude of B? b)What is the value of Bx? c)What is the value of By? Find the magnitude and direction of the magnetic field at P when the current in the left-hand wire is out of the page and the current in the right-hand wire is into the page. d)What is the magnitude of B? e)What is the value of Bx? f)What is the value of By? g)What is the value of Bz?
- A loop of wire is in the plane of the page and has a radius of 0.53m. A current of 2.26A goes around the loop in a counterclockwise direction. What is the magnitude of the magnetic field at the center of the loop? (Give your answer in x10-7T.)The diagram below depicts a rectangular wire loop of width a = 17.5 cm and height b = 7.95 cm, that is connected to a current source that when turned on, gives rise to a current I = 0.35 A in the wire. The loop is suspended in a uniform magnetic field B = 0.85 T that points in a vertical direction as shown in the diagram, and it would hang vertically if there were no current in the wire. We assume that the wire is massless, but two masses m = 9 g are suspended at the lower corners. What is the angle, θ, at which the loop is in equilibrium?Chapter 28, Problem 060 Your answer is partially correct. Try again. The figure shows a current loop ABCDEFA carrying a current i -4.58 A. The sides of the loop are parallel to the coordinate axes shown, with AB 21.4 cm, BC 25.4 cm, and FA = 8.46 cm. In unit-vector notation, what is the magnetic dipole moment of this loop? (Hint: Imagine equal and opposite currents i in the, line segment AD then treat the two rectangular loops ABCDA and ADEFA.) .0 k ) Units Number (
- A hexagonal loop of side L = 7.1 cm carries a current of I = 1.6 A (see figure below). Determine the magnetic field at the center of the loop. Assume the positive z axis points out of the page. (Express your answer in vector form.) B = TA wire-segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in thefigure below. A uniform magnetic field of magnitude 0.50 T pointing toward the negative xdirection is present as shown. The +z-axis points directly into the page.(a) Show in a diagram the direction of the magnetic force on the wire. Explain your answer.(b) Write both the magnetic field and the wire-segment vector in unit-vector notation.(c) Use the vector expressions for the magnetic field and the wire-segment vector found in (b) tocalculate the magnetic force on the wire-segment. Write your answer in unit vector notation.A loop in the form of an equilateral triangle with side L is in the first quadrant of the xy plane with one of the vertices at the origin and one of the sides on the x axis. Obtain the magnetic force on each side of the triangle if a current I passes through the loop and the applied magnetic field is given by Bo = (Box)i + (Bo)k, with Bo> 0. What is the total force on the loop? Obs: the magnetic field it's not defined in j.
- A conducting bar of length ℓ moves to the right on two frictionless rails as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 0.330 T. Assume R = 8.70 Ω and ℓ = 0.390 m. A vertical bar and two parallel horizontal rails lie in the plane of the page, in a region of uniform magnetic field, vector Bin, pointing into the page. The parallel rails run from left to right, with one a distance ℓ above the other. The left ends of the rails are connected by a vertical wire containing a resistor R. The vertical bar lies across the rails to the right of the wire. The bar moves to the right with velocity vector v. (a) At what constant speed should the bar move to produce an 8.60-mA current in the resistor? m/s(b) What is the direction of the induced current? clockwisecounterclockwise into the pageout of the page (c) At what rate is energy delivered to the resistor? mW(d) Explain the origin of the energy being delivered to the resistor.The net force on a current loop in a uniform magnetic field is zero. But what if B is not uniform? The figure (Figure 1) shows a square loop of wire that lies in the xy-plane. The loop has corners at (0, 0), (0, L), (L, 0), and (L, L) and carries a constant current I in the clockwise direction. The magnetic field has no x-component but has both y- and z- components: B = (Boz/L)j + (Boy/L) k, where Bo is a positive constant. Figure y (0, L) (0, 0) (L, L) (L, 0) 1 of 1 X Part E Find the magnitude of the force on side 3, that runs from (L, L) to (L, 0). Express your answer in terms of the variables Bo, L, and I. — ΑΣΦ F3 = Submit Part F Request Answer Find the direction of the force on side 1, that runs from (L, L) to (L, 0). +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction 0 Submit ? Request AnswerAn infinitely long wire carrying a current of I = 2.95 A is bent into the shape shown in the figure. The angle the arc subtends is = 73.5° and the radius of the arc is 24.0 cm. Determine the magnitude and direction of the magnetic field at the point P which is at the center of the arc. (Let the +x direction point to the right, the +y direction point up, and the +z direction point out of the page.) magnitude direction ---Select--- y