The current density in a cylindrical wire of radius 4R is given by J = J,(1 –). Density is parallel to the axis. Find the total current passing through the section
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- A wire of circular cross-section carries a current density that is not uniform but varies with distance from the center asj(r)=Ar/Rfor radius rin the range 0<r<R. Here, Ais a constant with units of amperes per square meter, and the radius of the wire is R=3.9mm. (a) If the total current is 4.5A , what is the constant A , in amperes per square meter? (b) What is the maximum value of the enclosed current, in amperes? (c) What is the maximum value of the magnetic field, in units of teslas?The current density present in a conductor is 570A/m2. What is the current flowing the conductor if the radius of cross-sectional area is 0.34 ft?If a current of 80.0 mA exists in a metal wire, (a) howmany electrons flow past a given cross-section of the wire in10.0 min? (b) In what direction do the electrons travel withrespect to the current?
- The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00 mm is given by J= (3.00 × 10^8) r^2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.500R and r = R ?The current density in a cylindrical wire of radius 4R is given by J = J0 [1- (r² / R²)]. Density is parallel to the axis. Find the total current passing through the section perpendicular to the axis.In a cylindrical wire of lenght way larger than its raduis a current flow with linear density J=kr. Determine the expression of B as a function of r inside and outside the wire
- discuss how current flows in n type and p type semi-conductorsThe current density in a cylindrical wire of radius 3R is given by J=J0 (1 - r2/R2). Density is parallel to the axis. Find the total current passing through the section perpendicular to the axis.What is the current through a cylindrical wire of radiusR = 0.1 mm if the current density is J=J0Rr where J0=32000Am2?
- A 10-gauge copper wire has a cross-sectional area A=5.26mm2 and carries a current of I=5.00A . The adensity of copper is =89.50g/cm2 . One mole ofcopper atoms (6.021023atoms) has a mass ofapproximately 63.50 g. What is the magnitude of the drift velocity of the elections, assuming that each copper atom contributes one free electron to the current?The current in a conductorvaries in time as shown inFigure P17.60. (a) How manycoulombs of charge passthrough a cross section of theconductor in the interval fromt = 0 to t = 5.0 s? (b) Whatconstant current would transportthe same total chargeduring the 5.0 - s interval asdoes the actual current?A long coaxial cable, crossection of which is shown in the figure, is made up of a cylindrical inner wire of radius a and a cylindrical shell shaped coaxial outer wire of inner radius b and outer radius c. The current density with magnitude J = Kr2/a is spread over the cross section of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = πKa 3 having into-the-page direction. a) Find the total current of the inner wire iin in terms of ?.Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a< r< b) d) inside the outer wire (b< r < c) e) outside the outer wire (r> c) in terms of i, π, μ and r. For each case indicate the direction of the magnetic field as well.