WebExplanation: To calculate the total current I, we integrate J over the cross-sectional area of the wire: I = ∫ J ( r) d A where dA is an element of cross-sectional area at distance r from … WebThe current density inside a long, solid, cylindrical wire of radius a 3.1 mm is in the direction of the central axis, and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 310 A/m2. Find the magnitude of the magnetic field at (a) r = 0, (b) r = a/2, and (c) r = a. Question
How to Calculate Current Density? - GeeksforGeeks
WebNov 5, 2024 · Inside of the cable, the circulation integral around a circular path of radius, r < R, is the same: ∮→B ⋅ d→l = B2πr However, in this case, the smaller Amperian loop does not enclose all of the current flowing through the cable. We are told that the current density, j, is uniform in the cable. WebDear friend pay attention to ampere's law which has in it the term I(enclosed) in it.So when you find field inside the wire current enclosed within a circle of radius r is something that you will obtain by integrating the current density and is not what you wrote. dome 5 gopro
The current density is a solid cylindrical wire a radius R, as a ...
WebIf the current density in a wire or radius R is given by J= kr, 0 < r < R, what is the current in the wire? (A) 2nkR3/3 ( (E) kR2/2 (B) 3mkR3/2 (C)kR3/3 (D) kR2 This problem has been solved! WebSep 12, 2024 · Calculate the current density, resistance, and electrical field of a 5-m length of copper wire with a diameter of 2.053 mm (12-gauge) carrying a current of \(I - 10 \, mA\). Strategy We can calculate the current density by first finding the cross-sectional area of the wire, which is \(A = 3.31 \, mm^2\), and the definition of current density ... WebThe emf produced in a wire by its motion across a magnetic field does not depend upon the A. Diameter of the wire B. Q: Water (viscosity = 8.90 × 10-4 Pa s, density = 1.00 ×103 kg/m3) flows along the pipe shown in the diagram, the diagram i pv organ\u0027s