Derive the capacitance for a cylindrical capacitor ( two conducting concentric cylinders of radius R1 and R2)
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- A slab of copper of thickness b = 1.68 mm is thrust into a parallel-plate capacitor of plate area A = 1.96 cm2 and plate separation d = 5.35 mm, as shown in the figure; the slab is exactly halfway between the plates. (a) What is the capacitance after the slab is introduced? (b) If a charge q = 2.68 µC is maintained on the plates, what is the ratio of the stored energy before to that after the slab is inserted? (c) How much work is done on the slab as it is inserted? (d) Is the slab sucked in or must it be pushed in? Copper (a) Number 4.73e-13 Units (b) Number i 0.686 (c) Number i 5.36e-10 Units J (d) sucked inConsider a solid cylindrical conductor of inner conductor radius 61 cm and outer conductor radius 84 cm with charge Q that is coaxial with a cylindrical shell of negligible thickness. Find the capacitance, in nF, of this cylindrical capacitor if its length is 74 m and the insulator used is mica (εr = 6).Capacitance Problem 18: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 45 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m.
- There exist infinitely long concentric cylindrical structures as given in Figure right. The region p < a is filled with an electric charge of density P, = Po (1) Coul/m³. Here po is a constant. Besides, a concentric cylindrical conducting shell is placed outside of the cylinder. Except for the conductor, everywhere is in a vacuum (0) a) Find the electric field intensity everywhere b) Find the electrostatic potential difference between i) ii) iii) p = 0 and p = a p = a and p = b p = b and p = c A 7 p(T) If conductor Figure 2. The geometry of Q-2.Derive the capacitance for a spherical capacitor. (two conducting concentric spheres of radius R1and R2)