a) Write the Biot-Savart Law for a steady current I.
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- 2)Suppose: Find the flux through the surface of a cylinder with and by evaluating the left side and the right side of the divergence theorem. Use divergence theorem . With the help of these values formulate equations of electrostatic field environment equations.Describe the shape of the curve. How is the magnetic field welated to the current thwough the solenoid? Determine the best-fit line equation of the curve. (Nowt the constants and their unitsss.) Wat is the significance of the slope and y-intercept of the cuwve?a) A circular loop of radius ? carries current ? as shown in the figure. Find the magnetic flux density ?⃗ at a point on the axis of the loop by using Biot-Savart law. Show all the details of Biot-Savart formulation b) A surface charge density exists on the hemispherical surface of the radius ? shown in the figure given as??⃗⃗ =?0????ê?A/m where ?0 is constant. i) Find the total current flowing on the surface ii) Using the solution of part (a), find the magnetic flux density ?⃗ at the origin ?.
- A finite length wire, which is bent as shown in the below figure, lies in xy-plane and carries a current I. If the magnetic flux density in the region is ?⃗⃗ = ?⃗⃗ ??⃗⃗⃗⃗ , determine the magnetic force acting on the wire.Giving information about the behavior of magnetic materials, he gives the magnetization vector of a cylinder of radius R and infinite product as ..... and k is a constant. Accordingly,connected current densities. Jb and Kb, the total current l through the cylinder system, and the B inside and outside the cylinder. (You can find mathematical expressions by looking at the image.,thanks)A free standing linear conductor of length (l) carries a current (I) along the z-axis. Determine the flux density (B) at a point (P) located at distance (r) in the (x-y) plane. (see figure) Please write clearly.
- Given a magnetic flux density of 0.128 T that is uniform in the positive z direction. What is the magnetic flux: a. across the surface abcd? b. across the surface befc? c. across the surface aefd?14 .Combining the equation for the convection current density and the equation relating the drift velocity and the electric field will yield: the point form of Ohm's Law; the equation relating the electron mobility and the mean time per collision; the mathematical definition of current density; (The answer cannot be found on the other choices.)Two ideal solenoids of radii R and 4R , respectively, have n turns per meter, and each carries a current of I. Both currents flow in the same direction. The small‑radius solenoid is placed inside the large-radius solenoid so that their axes of symmetry are parallel and separated by a distance d=2R . Neglecting any magnetic screening effects, express the magnetic field strength on the axis of the small-radius solenoid analytically in terms of the quantities given and the magnetic permeability of a vacuum, μ0 .
- Q)In steady magnetic fields, can we define a potential function based on the current distribution from which the magnetic fields may be easily determined? Justify your answer.The magnetic field intensities inside and outside of a long and smooth conductor with a cross section radius are as follows. Accordingly, find the current densities J inside and outside the conductor. (Hint: Use cylindrical coordinates)The figure shows a cable through which a current I flows, which is composed of a straight segment of length L and parallel to the z axis, then a semicircular segment of radius R and contained in the xy plane, and then another segment of length L, parallel to the x axis. In all space there is a uniform magnetic field B (with arrow) = Bz (z with hat), find the total magnetic force on the three segments of the wire. (The answer must be expressed in terms of I, B, L and R)