A cylindrical conductor of area A and length L has a conductivity (σ-1/R) that varies as...
A solid conductor of circular cross section with a radius of 5 mm has a conductivity (σ) that varies with radius. The conductor is 20 m long, and there is a potential difference of 0.1 V between its two ends. Within the conductor, H̀ = 10⁵r² ǿ A/m. Find σ as a function of r.
1172 A cylindrical conductor has inner radius 'a and outer radius 'b'. conductor is I, distributed so that the current per unit cross- sectional area is constant. Find the magnetic flux density at any radius r, where a<r<b, in terms of I, r, a, b. The total current in the 1172 (a) (b) Suppose that the current density in (a) above is not uniform but (Amp/m2), where k is a constant. Find the flux varies as J-k density at any...
A long, cylindrical non-conductor of radius R and length L is placed with it long axis along the Z-axis as shown The cylinder has a total charge Q distributed non-uniformly thrpughout its volume. The charge density is only a function of the radial distance "r" from the cylinder axis and varies as ρ(r):- where α is a constant Vr. 2 +9R2 c) What coordinate system will you use? L (xy,z), (p,o,Z), (,o,)) d) What variables will the magnitude of the...
4) Figure 5 illustrates a solid cylindrical conductor having length L and uniform X-sectional area A. The resistivity p of the cylinder is non-uniform and described by the function P(x) = Cx where is a constant and x is position measured along the length of the cylinder such that x = 0 at the left end and x = L at the right end. The terminals of an ideal Figures battery having emfE are connected to the opposing ends of...
An infinitely long cylindrical conductor with radius R has a uniform surface charge density ơ on its surface. From symmetry, we know that the electric field is pointing radially outward: E-EO)r. where r is the distance to the central axis of the cylinder, and f is the unit vector pointing radially outward from the central axis of the cylinder. 3. (10 points) (10 points) (a) Apply Gauss's law to find E(r) (b) Show that at r-R+ δ with δ σ/a)....
2. Consider a conical conductor of length L, radius a at one end and b at the other end, as shown to the right. The material has conductivity σ. We want to find the total resisitance R V/I of the conductor, when a voltage V is applied between the two ends. (a) A common approach is to slice the conductor into (infinitesimal) disks of thickness dz and add up the (infinitesimal) resistance of each disk. Evaluate R in this manner....
2072 A hollow cylindrical conductor of length L (like the insulation around a pipe) has inside radius a and outside radius b. The inside surface temperature is T, and the outside surface temperature is T T, and T, remain fixed. Unlikely as it seems, the conductivity of the insulating material is not constant but increases as the square of the radius, according to K(r) K,r , where K, is a constant. Find the heat flow rate ( in cal/sec), in...
A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are b and c respectively, from the center z axis. It carries a current I in z direction. (a) Find the vector current density J. (b) Use Ampere's Law to find the magnetic field B and H outside the conductor(r>c). (c) Find B inside the hollow interior(r<b). (d) Find B in the conductor(b<r<c).
(1 point) [DL:2/5] A cylindrical conductor of radius R = 0.85 m is centred on the z-axis. The current density in the conductor is given in cylindrical coordinates: J = 16e (1-p/R)a, A/m? 'a, A/m² Find the total current passing through the plane z = 0. 146.8/e
please answer each question separately A cylindrical conductor of radius R = 9 cm has a non-uniform current density J = 2 r^2in units of A/m2 i Р (a) Calculate the magnetic field at distance r = 8 cm from the center of the conductor. Select one: a. 107.67 O b. 121.00 O c. 362.00 A cylindrical conductor of radius R = 9 cm has a non-uniform current density J = 2 r^2 in units of A/m2 i (b) Calculate...