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7 Fig 1 shows a contour consisting of two semicircular parts, of radii a and b...
2) Consider a coaxial capacitor with two concentric metal cylinders of radii a and b (a < b), filled with a dielectric material whose permittivity e varies linearly from ea at r = a to Ep at r = b. a. Find the capacitance per unit length. b. Find the numerical value of the capacitance if the radii are 2 mm and 6 mm and the relative dielectric constant varies from 2.25 to 8.5, respectively.
7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b (Fig. 4). The dielectric material between the surfaces has a relative permittivity s, 2+(4/r) for a <r< b. (a) Determine the capacitance of this capacitor. (b) Find the electrostatic energy stored in the dielectric region. (Neglect the fringing of the electric field at the edge.) (1490) If the constant electric field in Fig. 5 has a magnitude Eo, calculate the totala electric flux through...
1. Consider two independent events, A and B, where 0< P(A) <1,0< P(B)< 1. Prove that A and B' are independent as well.
A water trough of semicircular cross section of radius 0.6 m consists of two symmetric parts hinged to each other at the bottom, as shown in Fig. 1. The two parts are held together by a cable and turnbuckle placed every 3 m along the length of the trough. Calculate the tension in each cable when the trough is filled to the rim. Draw a sketch to illustrate the problem solution and show all your work (write formulae, substitutions with...
7. Find the inverse Laplace Transform of X(so2 with ROC-1< Rels) 1.
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary of the square D = {z E C:-4 < Re(z) < 4, -4 < Im(z) < 4} traversed once counterclockwise.
Two thin conducting wires shaped as cylinders with radii ro, separated by distance b from each other, are attached to a large conducting slab of 2ro ffIh thickness a, where a < r。《 b. Estimate the resistance between the wires, assuming that the conductivity of the wires σ0 is much larger than the conductivity of the slab o. points)
Current loop with two circular and two linear parts QUESTION 4.4C A steady current of intensity I (I> 0) flows along a planar loop consisting of two circular and two straight wire conductors, as in Fig.Q4.2. The medium is air. The magnetic flux density vector at the center of the circles (point O) (A) is directed into the plane of drawing (B) is directed out of the plane of drawing (C) lies in the plane of drawing. (D) is zero....
(20 points) line having an inner conductor of radius a and a shell of radii b and c as specified in the following diagram. The lowing in the inner conductor ) is opposite to that in the outer Find the magnetic fields [H(r)] produced in (1) Region O < r< a, a rsb, (3) Region b<r< c, and (4) Region c<r. (5) Plot Consider a coaxial line having de current shell (-I (2) Regi H(r) ).
Bl A co-axial cable can be treated as two straight cylindrical layers with length of h -6 cm, radii of a lcm and b 4 cm, that is filled with air. Let there be a charge ( +12 pC) on the inner layer and - -12 pC) on the outer layer (as shown in Fig. Bla). Assume each layer has negligible thickness. -Q bt Fig. Bla Fig. Blb (1) Find the electric field intensity E (p) and potential difference in...