WebDec 22, 2024 · The current density varies with radial distance r as J =ar2, in a cylindrical wire of radius R. The current passing through the wire between radial distance R/3 and … WebThe current density → j inside a long, solid cylindrical wire of radius a = 12 m m is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J 0 r a where J 0 = 10 5 4 π A m 2.
Current Density Formula - Definition, Equations, Examples - Toppr
WebIf the current density is not uniform over the wire, then we are left with IC given by Eq. 7: IC = 2π Z r 0 J(r′)r′ dr′ (12) Where J(r′) is an explicit function for the current density and varies with the position within the wire. Going back to the case of … Webcurrent density through a cylindrical wire of radius R varies as j=kr, where k is a constant and r is its distance from the axis of cylinder. Then total current passing through the wire is Option 1) ∏R2k Option 2) ∏R3k Option 3) 2∏R3k/3 Option 4) ∏R2k/3 Answers (1) As we learnt If current density is not uniform - - wherein how are employee stock option plans taxed
Impact of the radial density profile on the Z-pinch stability at a ...
WebCurrent density or electric current density is very much related to electromagnetism. It is defined as the amount of electric current flowing through a unit value of the cross-sectional area. In case of a steady current that is flowing through a conductor, the same current flows through all the cross-sections of the conductor. WebQuestion. A very long, thick cylindrical wire of radius R carries a current density J that varies across its cross-section. The magnitude of the current density at a point a distance r from the center of the wire is given by J = J _ { 0 } \frac { r } { R } J = J 0Rr, where J _ { 0 } J 0 is a constant. Find the magnetic field (a) at a point ... WebThe current density varies with radial distance r as J = ar2, in a cylindrical wire of radius R. The current passing through the wire between radial distance R/3 and R/2 is 2753 41 VITEEE VITEEE 2016 Report Error A 259265πaR4 B 7225πaR4 C 293865πa2R3 D 14481πa2R4 Solution: Current density J = ar2 Current I = ∫ JdA I = R/3∫ R/2 ar2(2πrdr), how many main layers does earth have