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- Define and sketch uniform and non uniform field, give examples of each.An isothermal plasma is confined between the planes ? = ±? in a magnetic field ? = ???. The density distribution is ? = ??(? − ??/??). Derive an expression for the diamagnetic drift velocity ??? as a function of x.Determine the Shear Modulus of Elasticity or Modulus of Rigidity of an electrical transmission material when the forces parallel to the faces in which they act is 100N and the radius of the material is 5mm, the displacement between the faces and the distance between the faces of the material are 400cm and 200cm respectively.
- A steady current ? flows down a long cylindrical wire of radius ?. Find the magnetic field both inside and outside if,a) The current is uniformly distributed over the outside surface of the wire. b) The current is distributed in such a way that ? is proportional to ?, the distance from the axis. check the image, explain step by step.Figure shows a Gaussian surface in the form of a closed cylinder (a Gaussian cylinder or G-cylinder) of radius R. It lies in a uniform electric field E with the cylinder’s central axis (along the length of the cylinder) parallel to the field. What is the net flux ϕ of the electric field through the cylinder?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 ?.3. A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability ?? of150, and a small air gap.A current ? flows through 200 turns of wire wrapped around the toroid.The magnetic flux of the circuit is 5 × 10−9 ??. The total length of the circuit is 0.8 m, and thecross-sectional area of the toroid is10−4?2. The length of the air gap is 0.07 m. Findi. the total reluctance and inductance of the circuitii. magnetomotive force and hence the current.?0 = 4? × 10−7?/Mvery thin spherical shells are given as in the figure below. Let the loads with the inner shell load -Q and outer shell load + Q be uniformly distributed to these shells. What should be the electric field strength for the distance R outside the two shells?
- In the figure, an electron accelerated from rest through potential difference V1=1.15 kV enters the gap between two parallel plates having separation d = 22.2 mm and potential difference V2= 187 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?In the figure, the current in the long straight wire is equal to I1 = 5A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10A. The dimensions are c = 0.100 m, a = 0.150 m, and ? = 0.450 m. Determine the magnitude and direction of the net force exerted on the loop by the magnetic field produced by the wire.A 4pole lap wound armature when driven at 600rpm generates 120V. if the flux per pole I 25mWb, find the number of armature conductors.