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( Problem 3) If field J is expressed as below at 712, π2, 3T2) , determine...
3. Under the influence of a vector field a particle spirals on the surface of a unit sphere toward the (t)-t and ф(t)- uppermost pole. With its spherical angular positions parametrically defined by 2...
3. Under the influence of a vector field a particle spirals on the surface of a unit sphere toward the (t)-t and ф(t)- uppermost pole. With its spherical angular positions parametrically defined by 24t, the particle's path can be defined t€[3m/2.2n. r(t)-sin(θ(t)) cos(d(t)) ị t sin(θ(t)) sin(φ(t))J+cos(θ(t)) k, Compute the work done by the constant vector field F(,y,z) 1 k in moving the particle along this path We were unable to transcribe this image
3. Under the influence of a...
Could you please 1.question ЕЕ211 Electromagnetic Field Theory 1 Homework 2 Due by 12th of Nov,...
Could you please 1.question
ЕЕ211 Electromagnetic Field Theory 1 Homework 2 Due by 12th of Nov, 2018 at 5 PM ANTALYA BILIM UNIVERSITY Homework 2 Q1. Given three vectors A, B, and C A-a +2a, -3a, Find (a) unit vector along A. (b) IA -BI (c) A.B (d) the angle between vectors A and B (e) The vector component of A in the direction of C. (f) AxC (g) A. (x C) and (A x B).C (h) (A x B)...
Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on ...
Please help me. i didnt understand those formulas. can you
please explain them. thanks.
Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on the surface of the cylinder described by r-2. At point P find (a) the vector component of E perpendicular to the cylinder, (b) the vector component of E tangential to the cylinder. Can anyone please tell me where does these formulas come from and also is there any formulas...
2. Consider the vector field F = (yz - eyiz sinx)i + (x2 + eyiz cosz)j...
2. Consider the vector field F = (yz - eyiz sinx)i + (x2 + eyiz cosz)j + (cy + eylz cos.) k. (a) Show that F is a gradient vector field by finding a function o such that F = Vº. (b) Show that F is conservative by showing for any loop C, which is a(t) for te (a, b) satisfying a(a) = a(6), ff.dr = $. 14. dr = 0. Hint: the explicit o from (a) is not needed....
(1) Let F denote the inverse square vector field (axr, y, z) F= (Note that ||F...
(1) Let F denote the inverse square vector field (axr, y, z) F= (Note that ||F 1/r2.) The domain of F is R3\{(0, 0, 0)} where r = the chain rule (a) Verify that Hint: first show that then use (b) Show that div(F 0. (c) Suppose that S is a closed surface in R3 that does not enclose the origin. Show that the flux of F through S is zero. Hint: since the interior of S does not contain...
MA330 Homework #4 1. This exercise concerns the function its gradient vector field F-vo See the p...
the excercise concerns the function (x^2 + y^2)* e^(1-x^2 -
y^2)
please do all parts
MA330 Homework #4 1. This exercise concerns the function its gradient vector field F-vo See the plots of each below. a) Compute the partial derivatives os and ty to find the gradient field vo. (b) In MA231, learned 1, you learned that mixed second-order partial derivatives of reasonable functions Verity that here by computing day and dys and checking that they are the same. should...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
3. Under the influence of a vector field a particle spirals on the surface of a unit sphere toward the (t)-t and ф(t)- uppermost pole. With its spherical angular positions parametrically defined by 24t, the particle's path can be defined t€[3m/2.2n. r(t)-sin(θ(t)) cos(d(t)) ị t sin(θ(t)) sin(φ(t))J+cos(θ(t)) k, Compute the work done by the constant vector field F(,y,z) 1 k in moving the particle along this path We were unable to transcribe this image
3. Under the influence of a...
Could you please 1.question
ЕЕ211 Electromagnetic Field Theory 1 Homework 2 Due by 12th of Nov, 2018 at 5 PM ANTALYA BILIM UNIVERSITY Homework 2 Q1. Given three vectors A, B, and C A-a +2a, -3a, Find (a) unit vector along A. (b) IA -BI (c) A.B (d) the angle between vectors A and B (e) The vector component of A in the direction of C. (f) AxC (g) A. (x C) and (A x B).C (h) (A x B)...
Please help me. i didnt understand those formulas. can you
please explain them. thanks.
Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on the surface of the cylinder described by r-2. At point P find (a) the vector component of E perpendicular to the cylinder, (b) the vector component of E tangential to the cylinder. Can anyone please tell me where does these formulas come from and also is there any formulas...
2. Consider the vector field F = (yz - eyiz sinx)i + (x2 + eyiz cosz)j + (cy + eylz cos.) k. (a) Show that F is a gradient vector field by finding a function o such that F = Vº. (b) Show that F is conservative by showing for any loop C, which is a(t) for te (a, b) satisfying a(a) = a(6), ff.dr = $. 14. dr = 0. Hint: the explicit o from (a) is not needed....
(1) Let F denote the inverse square vector field (axr, y, z) F= (Note that ||F 1/r2.) The domain of F is R3\{(0, 0, 0)} where r = the chain rule (a) Verify that Hint: first show that then use (b) Show that div(F 0. (c) Suppose that S is a closed surface in R3 that does not enclose the origin. Show that the flux of F through S is zero. Hint: since the interior of S does not contain...
the excercise concerns the function (x^2 + y^2)* e^(1-x^2 -
y^2)
please do all parts
MA330 Homework #4 1. This exercise concerns the function its gradient vector field F-vo See the plots of each below. a) Compute the partial derivatives os and ty to find the gradient field vo. (b) In MA231, learned 1, you learned that mixed second-order partial derivatives of reasonable functions Verity that here by computing day and dys and checking that they are the same. should...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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