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Suppose a coaxial capacitor with inner radius 1.0 cm, outer radius 2.0 cm, and length 1.0 m is constructed with two different dielectrics. When oriented along the z–axis,
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Fundamentals of Electromagnetics with Engineering Applications
- 27. A phasor can be represented or expressed in either rectangular form (x +j y) or polar form (z cis n) True False 28. By convention, values obtain from time domain representation are always real while in phasor domain representation, values are generally expressed in complex form. True False 31. Value of capacitance is usually affected by the following physical dimensions and construction of a capacitor: such as number of turns, its length, its cross-sectional area and the permeability of the core. True Falsearrow_forwardA parallel-plate capacitor consists of square plates of edge length ℓ that are separated by a distance d, where d << ℓ. A potential difference ΔV is maintained between the plates. A material of dielectric constant k fills half the space between the plates. The dielectric slab is withdrawn from the capacitor as shown. (a) Find the capacitance when the left edge of the dielectric is at a distance x from the center of the capacitor. (b) If the dielectric is removed at a constant speed υ, what is the current in the circuit as the dielectric is being withdrawn?arrow_forward3.(Part I) A 50 V voltage generator at 20 MHz is connected to the plates of an air dielectric parallel-plate capacitor with a plate area of 2.8 cm^2 and a separation distance of 0.2 mm. Find the maximum value of displacement current density and displacement current. (Part II) A dielectric material with permeability that of free space, permittivity = 9xpermittivity of free space, conductivity = 4 S/m, is placed between the plates of a parallel-plate capacitor. Calculate the frequency at which the conduction and displacement currents are equal.arrow_forward
- 1) Suppose the capacitor plates have a meaured diameter of (0.210+/-0.001) m and a plate separation of (0.020 +/- 0.001)m. Calculate the capacitance (including uncertainty) of the variable capacitor. 2) The separation (d) for the capacitor in Problem 1 is aried and the capacitance is meauresd for 5 separations. Thes points are recorded in the following table: Note: The Table is in the image. A) Calculate the reciprocal of the separation and prepare a new table that has the separation, reciprocal of the separation and capacitance. Do not calculate uncertainties for the reciprocal separation. B)Plot on graph paper the capacitance vs. the reciprocal separation. C) Determine the slope of this line. D) Use the diameter of the plates from Problem 1 and the slope from part C of the problem to calculate the value of esub0 from this data.arrow_forwardBetween the plates of a capacitor with an area of A = 40 cm², and distance between the plates of d = 30 cm, three dielectric materials are placed, as shown in the following figure. what is the equivalent capacitance of the capacitor with the three dielectric materials with permittivities ε1= 0.20 F / m, ε2=0.30 F / m, ε3= 0.40 F / m ? a) 3,7mF b) 6,7mF c) 9,7mF d)10mF e)none of the alternativesarrow_forwardcalculate the capacitance for a spherical capacitor composed of an internal conductor of radius ra and an external conductor of radius rb and containing a dielectric of permittivity Earrow_forward
- Two conducting spherical shells have radii a= 2 cm (inner), and b= 5 cm (external). The interior is a perfect dielectric for which εR = 10. The value of capacitance between the two plates equals toarrow_forwardThe capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C = (2πϵrϵo)*L / (ln (b / a))is known to be. The capacitor is angularly composed of two insulating regions and these insulating regions are; With ø1 = 2.3 rad and a region with a relative dilutive constant εr1 = 5.6 Regions with relative dilutive constant ø2 = 3.9831 rad r2 = 3.2 The equivalent capacity of this capacitor is how many times the capacitor whose insulator is the space. (ø2 + ø2 = 2π) The gap dielectric constant εo = 8.842 pF / m and capacitor dimensions; L = 20 cm a = 1.5 cm b = 3.4 cmarrow_forwardA capacitor sensor of three parallel plates, having distance between upper plate and middleplate is 0.75cm and the distance between lower plate and middle plate is 0.46cm, having an areaof 28mm. Due to displacement, if upper plate and lower plate are moved towards the middleplate by 3mm, then calculate the following,i. Capacitance between upper and middle plates.ii. Capacitance between lower and middle plates. iii. Net capacitance of the capacitor sensor.arrow_forward
- Two concentric cylindrical plates have an outer radius of 4 cm, an inner radius of 3.8 cm, and a cylinder length of 10 cm. The gap of both plates contains air. Specify: a. Capacitance of capacitors (in pF, pico-farad). b. Capacitor charge (in nC, nano-coulomb) if the capacitor is connected to a 12 volt power source. c. Capacitance and charge captor if the gap of both plates is filled by the material with a dielectric constant of 2.3.arrow_forward1. а. Obtain the absolute potential at point A (2, 2, 3) m due to a point charge Q=0.4nC is located at the origin. If the same point charge is relocated to B (2, 3, 3) m, calculate the absolute potential at new position due to charge Q. b. A coaxial cable has inner radius of 1.2cm and outer radius of 1.8cm and has a length of 35m with an insulating material with relative permittivity 4.5. Calculate: i. Capacitance per meter. ii. Total Energy stored in the cable if a potential of 400v is applied across the cable.arrow_forwardb. A coaxial cable has inner radius of 1.2cm and outer radius of 1.8cm and has a length of 35m with an insulating material with relative permittivity 4.5. Calculate: i. Capacitance per meter. ii. Total Energy stored in the cable if a potential of 400v is applied across the cable.arrow_forward
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