3. You have a cylindrical cable that encloses a surface charge (Pg: surface charge density) asshown below. The cable consists of double dielectric cylindrical shell layers separated by ametallic shell. The cable is deposited with a metal cover which is biased at zero potential.The radii of the shells are given in the figure. Please answer the following questions.Surface charge (p.) on metallic bar of radius aDielectric shell 1 (ɛ) of outer radius bMetallic shell of outer radius cDielectric shell 2 (82) of outer radius dMetal cover(1) What would be an equivalent line charge density?(2) Find the distribution of electric field intensity, potential, and electric flux density.(3) Find the surface charge densities that may be present on the metal surface.

Part (1) Given: The surface charge density of the cable is ρs. The formula to calculate the line…

Answered: You have a cylindrical cable that…

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Subject: Electrmagnetics A capacitor consists of three concentric spherical shells with radii R, 2R, and 3R. The inner and outer shells are connected by a wire so they are at the same potential. The shells start neutral, and then a battery transfers charge from the middle shell to the inner and outer shells.a. If the final charge on the middle shell is -Q, what are the charges on the inner and outer shells? Your answer should be a function of Q.b. Determine the electrostatic energy of this system in terms of Q.
Question B
Two identical capacitors (A and B) with capacitance Co are hooked up to a battery of voltage Vo. A dielectric of constant ko is added between the plates of capacitor B while it is connected to the battery, as in the figure at right. a) Is the charge on capacitor A (QA) greater than, less than, or equal to the charge on capacitor B (QB)? What about the voltages (VA and VB)? Explain your reasoning. b) Vo CB The capacitors above are carefully disconnected from the battery (without being discharged), after the battery is disconnected the dielectric slab is removed from capacitor B. The capacitors remain connected to each other the entire time. Determine an expression for the final charges on each of the capacitors (QA₁f and QB₁f) after the dielectric has been removed in terms of the given constants (Ko, Co, Vo). Show your work and explain your reasoning.
a-d
Q.9
A spherical capacitor consists of an inner spherical shell of radius R1 and an outer spherical shell of radius R2, as shown above. Our goal is to calculate the capacitance of this configuration of electrodes.To start, suppose the inner sphere has a charge +Q and the outer sphere an equal but opposite charge -Q. Find the capacitance using the following steps:1. Use Gauss's law to find an expression for the electric field in the region between the two spheres.2. Find an expression for the potential difference between the spheres from the electric field (you'll have to integrate the electric field from the negative electrode to the positive one).3. Calculate the capacitance from C = Q / ΔV.Suppose in this case that R1 = 2.00 cm and R2 = 4.30 cm. What is the value of the capacitance?