is the value of current density at (0, 0, 1)
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- A cylindrical rod of semiconducting material with length L and cross-sectional area A is doped so that its resistivity varies with position along the rod as ?(x) = ?0exp(-x/L) where x=0 is at one of the rod's ends. If the rod has a voltage drop of V = 23.3 V across it, evaluate the current I through the rod and fill in the missing numerical factor below. I = ( )A/(?0⋅L)The conventional current in a wire travels in the direction I =. Find the direction of the velocity of electrons in the wire, û. û = (A silver wire of radius r- 0.5 mm and resistance 0.06 2 is connected to a voltage source of 4.2 mV. The density of the free charge carriers is n=1.59x1028 m-3. Find the drift speed of the free charges (in um/s).
- The radii of the two concentric conductive spheres are r1 and r2>r1. The resistivity of the material between the spheres is p. If the total current I from the inner sphere to the outer sphere, Find the electric potential difference between the spheres.Give your answer in terms of (r1, r2, p, I).A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)=j0(1-(r/R)2), for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.49 mm. A) Find an expression for the current enclosed in a cylinder with a radius of r < R. B) If the total current in the wire is I, find an expression for the constant j0, in terms of the other variables in the problem. C) If the total current is 1.5 A, what is the constant j0, in amperes per square meter? D) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. E) Find an expression for the magnetic field outside of the wire, for r > R. F) For what r, in meters, is the current enclosed maximum? G) What is the maximum value of the enclosed current, in amperes? H) For what r, in meters, is the magnetic field maximized? I) What is the maximum value of…What would happen to the temperature and the resistivity value of a wire if the current were very large?
- Consider a hollow spherical conductor of inner radius a and outer radius 3a. The conductivity (sigma) is a function of r, measured from the center of the sphere: sigma = c / r, where a < r < 3a and c is a constant. a) If we apply a potential difference V between it's inner and outer surfaces, with the inner surface at a higher potential, find the resulting current density j and the electric field E as a function of r. b) Find the resistance R of the spherical resistorA cylindrical, ohmic, uniform conductor is placed in a uniform electric field that points from bottom to top along the axis of the conductor, which is aligned with the z-axis. Which of the following statements is correct (select all that apply)? Group of answer choices A)The current density does not depend on r or φ B)The current density is proportional to the conductivity C)The current density is proportional to the cube of the conductor's radius D)The current density is inversely proportional to the cross-sectional area of the conductorThe current through a conductor is modeled as I(t) = Im sin (2π[60 Hz]t) . Write an equation for the charge as a function of time.