There exists a straight line charge (finite length L) of uniform (constant charge per Unit length charge density P. (CIM) in air. The component Ex of the electric ficd intensity E is of interest. From the drawing it is apparant that d₁ = p.dy- Hence, 1 L है r شاه → de Express dEx in terms of & and dy Express dEx in terms of Gonly (replace y and R with the correct expression in 6). Let 6. be the minimum value of 0 and Or be the maximum value of e, Express Ex as Lan integral from B. and 02. ①Evaluate the integral expressing Ex in terms of O. and On.. © Referring to the drawing provided what are the maximum and minimum values of G? If Lis 3 meters, is 4 maters, and p₁ = 10% (CIM) what is Ex (dimensions of vals per meter)!

The work done by the force F- da. - 3a, + 2a. Nin giving a InC charge a displacement of 10a, + 24 - 7a, m is ? (note: be aware of the sign for the given direction) (a) 103al (b) 60 nl (e) 64 n (d) 20 n

For the circuit shown in Figure:a. Determine the reluctance values and show themagnetic circuit, assuming that μ = 3,000μ0.b. Determine the inductance of the device.c. The inductance of the device can be modified bycutting an air gap in the magnetic structure. If a gapof 0.1 mm is cut in the arm of length l3, what is thenew value of inductance?d. As the gap is increased in size (length), what is thelimiting value of inductance? Neglect leakage fluxand fringing effects.

Q.3 (a) A capacitor's structure is made up of two conductors that are separated by a dielectric material. Describe the phenomenon that allow the flow of current through the dielectric material. Include in the description relevant mathematical derivation of the abovementioned phenomenon. (b) A capacitor such as illustrated in Figure Q.3 is constructed using copper as plate A and plate B plus a dielectric material with ɛ, 3.8 and o = 4 S/m between the plates. Potential difference plates A across is VAB (t) = Vo cos(2n x 10°t) V. Assume that Plate A and plate B carry charges +Q(t) and and -Q(t) respectively as well as fringing field at the edge of the plates can be ignored, determine: (i) Q(t) if the capacitance is 2.135 x 10-11 F (ii) M(t) if electric field within the capacitor, E(t) = M(t) fV/m Based on Q.3(b)(ii), examine: (iii) Conduction current density and conduction current. UNIVE (iv) Displacement current density and displacement current. arch ASUS VivoBook