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3 Questions Find a) The electric flux density vector: D-EVV, where s is a constant 10...
3 Questions Find: a) The electric flux density vector: D=-EVV, where & is a constant =...
3 Questions Find: a) The electric flux density vector: D=-EVV, where & is a constant = 10 pF/m. b) The electric volume charge density at any point in the region: p, = V D= divergence ofD e) The total charge enclosed by the specified region: Q= fpdv, dv element of volume d) Find Vx D and show that D is irrotational. In the cylindrical region: 0srs2m, 0s0s7/2 0szslm, the potential field V is given by V=50 2 sin volts
3...
1Introduction Computer equipments, x-ray machines, medical diagnosis equipments and many other industrial equipment are designed using...
1Introduction Computer equipments, x-ray machines, medical diagnosis equipments and many other industrial equipment are designed using electrostatic field theory. The theory uses essential mathematical tools such Since real life engineering applications involve 3D geometries whose fields are as vector calculus. functions of space (and time), it is critical that you master these tools. In real life, equipment/devices are not restricted to rectangular/cubical geometries but may be of cylindrical/spherical shapes. Objective: For a given scalar potential distribution inside a region, it...
Please step by step for D(electric flux density), E(electric field), V(electric potantial), P(polarization vector) ? A...
Please step by step for
D(electric flux density), E(electric field), V(electric potantial),
P(polarization vector) ?
A positive point charge Q is at the center of a spherical dielectric shell of an inner radius Ri and an outer radius RO. Determine E, V, D, and P as functions of the radial distance R. a)R>RO b)Ri<R<RO c)R<R find it. E1 = 60 €2 = Erzo (E3 = 6,360 = 0 - R + Ro conductive dielectric dielectric
(i) Electric flux froin volume Vis given by the surface integral of electric field E: where...
(i) Electric flux froin volume Vis given by the surface integral of electric field E: where S is the outer surface of volume V and η is a unit vector normal to surface S. Find the total flux of the electric field E = [y2, 0,23] from the charged cylinder desribed by s4, 0 sz s 5 where surface S comprises the top, base and curved side of the cylinder. [10 marka] (ii) Use Gauss's divergence theorem to verify your...
MARK WHICH OF THE FOLLOWING ARE TRUE/FALSE A. The component of flux, given flux density F,...
MARK WHICH OF THE FOLLOWING ARE TRUE/FALSE
A. The component of flux, given flux density F, crossing the surface dsu F.ûdsu OB. In spherical coordinates the following is true for any point, r= Rsin o cos 6î + Rsin o sin oſ + R cos and de =R c. The gradient in the u, v, w coordinates is 1 0 1 0 V= ü+T V .hu du h, du + 1 0 hw dw Then, the component of flux, given...
A charge q = -3 nC is placed at x = 2.5 m, where the electric...
A charge q = -3 nC is placed at x = 2.5 m, where the electric potential is given by V = -2.4x2 + 5.6x, where Vis in volts and x is in meters. What is the electric potential energy of the system? Select one O a.-23.00 E-9 J Ob.-30.40 E-9 J OC. 0.00 O d. - 15.00 E-9 J e. 30,40 E-9
A charge q = -3 nC is placed at x = 2.5 m, where the electric...
A charge q = -3 nC is placed at x = 2.5 m, where the electric potential is given by V = - 2.4x2 + 5.6x, where Vis in volts and x is in meters. What is the electric potential energy of the system? Select one: a.-23.00 E-9 J b. 0.00 J c. -15.00 E-9 J d.-30.40 E-9 J O e. 30.40 E-9 J
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S of V...
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S of V
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S...
1. Find the electric field at point a for: a. A solid sphere of radius R...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
4.35 please (a) Find the net flux crossing surface r = 2 m and (b) Determine...
4.35 please
(a) Find the net flux crossing surface r = 2 m and (b) Determine D atr Im and r 5 m 6 m. 4.34 A spherical region of radius a has total charge Q If the charge is uniformly distributed apply Gauss's law to find D both inside and outside the sphere Sections 4.7 and 4.8 Electric Potential and Relationship with iE 4.353) Two point charges Q 2 nC and Q-4nC are located at (1. 0. 3) and...
3 Questions Find: a) The electric flux density vector: D=-EVV, where & is a constant = 10 pF/m. b) The electric volume charge density at any point in the region: p, = V D= divergence ofD e) The total charge enclosed by the specified region: Q= fpdv, dv element of volume d) Find Vx D and show that D is irrotational. In the cylindrical region: 0srs2m, 0s0s7/2 0szslm, the potential field V is given by V=50 2 sin volts
3...
1Introduction Computer equipments, x-ray machines, medical diagnosis equipments and many other industrial equipment are designed using electrostatic field theory. The theory uses essential mathematical tools such Since real life engineering applications involve 3D geometries whose fields are as vector calculus. functions of space (and time), it is critical that you master these tools. In real life, equipment/devices are not restricted to rectangular/cubical geometries but may be of cylindrical/spherical shapes. Objective: For a given scalar potential distribution inside a region, it...
Please step by step for
D(electric flux density), E(electric field), V(electric potantial),
P(polarization vector) ?
A positive point charge Q is at the center of a spherical dielectric shell of an inner radius Ri and an outer radius RO. Determine E, V, D, and P as functions of the radial distance R. a)R>RO b)Ri<R<RO c)R<R find it. E1 = 60 €2 = Erzo (E3 = 6,360 = 0 - R + Ro conductive dielectric dielectric
(i) Electric flux froin volume Vis given by the surface integral of electric field E: where S is the outer surface of volume V and η is a unit vector normal to surface S. Find the total flux of the electric field E = [y2, 0,23] from the charged cylinder desribed by s4, 0 sz s 5 where surface S comprises the top, base and curved side of the cylinder. [10 marka] (ii) Use Gauss's divergence theorem to verify your...
MARK WHICH OF THE FOLLOWING ARE TRUE/FALSE
A. The component of flux, given flux density F, crossing the surface dsu F.ûdsu OB. In spherical coordinates the following is true for any point, r= Rsin o cos 6î + Rsin o sin oſ + R cos and de =R c. The gradient in the u, v, w coordinates is 1 0 1 0 V= ü+T V .hu du h, du + 1 0 hw dw Then, the component of flux, given...
A charge q = -3 nC is placed at x = 2.5 m, where the electric potential is given by V = -2.4x2 + 5.6x, where Vis in volts and x is in meters. What is the electric potential energy of the system? Select one O a.-23.00 E-9 J Ob.-30.40 E-9 J OC. 0.00 O d. - 15.00 E-9 J e. 30,40 E-9
A charge q = -3 nC is placed at x = 2.5 m, where the electric potential is given by V = - 2.4x2 + 5.6x, where Vis in volts and x is in meters. What is the electric potential energy of the system? Select one: a.-23.00 E-9 J b. 0.00 J c. -15.00 E-9 J d.-30.40 E-9 J O e. 30.40 E-9 J
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S of V
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
4.35 please
(a) Find the net flux crossing surface r = 2 m and (b) Determine D atr Im and r 5 m 6 m. 4.34 A spherical region of radius a has total charge Q If the charge is uniformly distributed apply Gauss's law to find D both inside and outside the sphere Sections 4.7 and 4.8 Electric Potential and Relationship with iE 4.353) Two point charges Q 2 nC and Q-4nC are located at (1. 0. 3) and...
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