The figure shows two closed paths wrapped around two conducting loops carrying currents i₁-6.9 A and i₂ = 4.1 A. What is the value of the integral B. ds for (a) path 1 and (b) path 2? (a) Number (b) Number i Units Units
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- Derive an expression for the current in a system like shown, under the following conditions. The resistance between the rails is R , the rails and the moving rod are identical in cross section A and have the same resistivity ρ .The distance between the rails is l, and the rod moves at constant speed v perpendicular to the uniform field B . At time zero, the moving rod is next to the resistance R .The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I1 = 1.14 A out of the page and the current in the outer conductor is I2 = 2.90 A into the page. Assuming the distance d = 1.00 mm, answer the following.(a) Determine the magnitude and direction of the magnetic field at point a.find magnitude ut and direction(b) Determine the magnitude and direction of the magnetic field at point b.find magnitude ut and directionB₁ X B>A>C C>B>A B>A=C AY X X A>B>C A=B=C=0 Consider a cross-section through an ideal torus. The arrangement of wires is shown in the figure, and each wire carries an identical current, i (x means current into the page, a dot means current out of the page). Three possible Amperian paths are shown as the dotted circles, the largest is C, the smallest is A. Rank the magnitude of the magnetic field you would find on the three Amperian paths.
- The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I1 = 1.20 A out of the page and the current in the outer conductor is I2 = 2.86 A into the page. Assuming the distance d = 1.00 mm, answer the following. (a) Determine the magnitude and direction of the magnetic field at point a. magnitude µT direction (b) Determine the magnitude and direction of the magnetic field at point b. magnitude µT direction10.8 cm, v = 4.86 m/s, and B = the resistance of the rails is neglibly small and the resistance of the rod is R = 415 mN, what is the magnitude of the current 3. Assume that L 1.18 T. If in the circuit? в А. О.50 A В. 1.0 А С. 1.5 А D. 2.0 A 3.The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.16 A out of the page and the current in the outer conductor is I, = 2.90 A into the page. Assuming the distance d = 1.00 mm, answer the following. d d (a) Determine the magnitude and direction of the magnetic field at point a. magnitude HT direction -Select--- (b) Determine the magnitude and direction of the magnetic field at point b. magnitude UT direction ---Select---
- You want to make a solenoid of radius r and length l out of a piece of copper wire of resistance R, length L, and diameter D, that you already have, and power it with a battery of voltage V that you also already have. The solenoid must be wrapped N times around a cylinder without overlapping turns. What is B (an equation) inside the solenoid going to be based on V, L, D, N (turns), R, r, l, and any other parameters - geometric or otherwise that you need?A cylindrical solenoid of length 0.711 m and radius 0.0334 m which carries a current of i = 4.06 A has a total stored energy of UB = 4460 J. How many turns per unit length does the solenoid have? i m-1a a X, Two long wires are parallel to the zaxis and are located at x = 0, y = ±a. Take a = 6 cm. a) Find B at point P with b = 5 cm, given that the wires carry equal currents in opposite direction I1 = I2 = 6 A. B = ( it j)T b) At what point is B equal to 10 % of its value at x = 0? b = cm.