Find the radius of curvature for the parametric сurve e-t cost , y = et sin t.

Q: ii, Calculate the volume and surface area of a solid cylinder 1.5 m diameter and 2.5 m tall.

A: The solution is given below

Q: 5. a) Suppose, a magnetic field, B = axzî + byzî + ck; using Gauss's law find out the relation…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: In a cartesian system, vector magnetic potential at a point (x.y,z) is defined as A = 4x?yax +2y2xay…

A: The magnetic flux density B  expressed as the space derivative of the magnetic vector potential A.…

Q: Q1. Verify Divergence theorem for the function F = ē,p over the semi-cylindrical volume %3D V = { x²…

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Q: K= arsin∅ + a∅6cos∅ and quarter circle is given . Find the rotation of the vector K and satisfy…

A: We have given and the quartle circle is given The rotation of vector K

Q: For static (time-independent) fields, which of the following current densities are possible? (1) J =…

A: Ans(1st option) 1

Q: I B

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Q: Q5-A filamentary conductor is formed into an equilateral triangle of side 2 m that carries a current…

A:

Q: Let there be a-30 nC at the origin of the Cartesian coordinate system. How much load should be…

A: Force between two charges=Q1×Q24π×ε×r2 Where r is the distance between two charges. We will find…

Q: Ex:- a- find the general from of the equation for the stream lines of the field E = 10 xy āx +5x2ay…

A: GivenE¯=10xya¯x+5x2a¯y

Q: In a cartesian system, vector magnetic potential at a point (x.y,z ) is defined as A = 4x2yax…

A:

Q: Where surfaces z=5 and o= 60 intersect is %3D An infinite line A circle An infinite plane a cylinder

A: For cylindrical coordinates (ρ,φ,z)   Given: Z=5, φ=60

Q: In a cartesian system, vector magnetic poteili is defined as A = 4x?yax +2y²xay -3xyzaz The total…

A: The magnetic flux can be calculated by using the surface integral of the A.

Q: Using Cauchy's integral formula (chapter 14.3), integrate counterclockwise -dz z2 + 4z + 3 where C…

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Q: Determine the flux of D p cos o a, + z sin o a, over the closed surface of the cylinder 0 szs 1, p =…

A: From the given Electric flux density

Q: Q1. Verify Divergence theorem for the function F = ëpp over the semi-cylindrical volume V = { x² +…

A: Divergence theorem

Q: Find the flux of the field F = -2xi-2yj across the closed semicircular path that consists of the…

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Q: find Me force on a loint charge of so le out MC0,0.5) due to a change of soome that is uniformly…

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Q: In constant M and N circles, if the value of M becomes unity, Which of the following will be correct…

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Q: A non magnetic medium has an intrinsic impedance 360230° Q. The loss tangent is

A: Wave is function of space and time. Frequency below which attenuation occur and above which…

Q: derive the electric field (assuming that r^(rhat) a unit vector along radial directin)

A:

Q: Q5 a) A fiber has the following characteristics: n1 = 1.45 (core index) and A =2%. Find the N.A and…

A: From the question n1=1.45(care index) ∆=2%=0.02

Q: Questions: 1. Convert points P(1,3,5) from Cartesian to Cylindrical. 2. Convert points T(0,-4 ,3)…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Q2: When x. y and z are positive and less than 6,a certain magnetic field intensity may be expressed…

A: The solution is given below

Q: In constant M and N circles, if the value of M becomes unity, Which of the following will be correct…

A: In the control systems In M and N circles, if M is unity then what will be centre ans radius of…

Q: If E = 2 18O (Um) at the surfoc e of g a at the origin, wat is 10 -cm conducting sphre centered the…

A: In the question, we have the values given as, E=R^180v/m

Q: Consider an infinite length line along the X axis conducting current. The magnetic field resulting…

A:

Q: Let there be a -30 nC at the origin of the Cartesian coordinate system. How much load should be…

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Q: ; f the infinite line of (pl-3uc) is parallel to (z_axis) at (=1,and y=2) find E at P(2,3,6) tvate W

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Q: Answer No. 6-8 . CONVERT AND GRAPH

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Q: Q39. In a cartesian system, vector magnetic potential at a point (.) is defined as A = 4x ya, + 2y…

A: As per the guidelines , I can solve only one question. I request you to post remaining as separate…

Q: In a cartesian system, vector magnetic potential at a point (x,y.z) is defined as A = 4x2yax +2y2xay…

A: Given :    The magnetic vector potential is A    A = 4x²y ax +2y²x ay -3xyz az   The range of…

Q: circular disk of radius a

A: Electric field lines are zero inside the perfect conductor.And permittivity of medium is8.854x10^-14…

Q: In a cartesian system, vector magnetic potential at a point (x.y.z ) 1s defined as A = 4x?yax…

A:

Q: Find Surface area after revolving about x-axis y = V(4 - x²), –1 <x<1

A: The surface area of revolution of y=f(x) about x-axis from x=a to x=b is given as:…

Q: uestion 12 A circular loop of radius a, centered at origin and lying in the xy plane, carries…

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Q: Consider a straight conductor of length 7.7 cm. The conductor moves at right angles to a magnetic…

A: We need to find velocity

Q: if D = 8xe-Yax - 4x?e-Ya, µC/ m2, find the total flux leaving the surface of the cube formed by |x],…

A:

Q: A magnetic vector potential A is defined as; A = - a, Wbim Calculate the total magnetic flux o…

A: Brief description:  In the above given question they have mentioned magnetic vector potential A'…

Q: deriv ds in spherical? deriv dv in sphevical ?

A: Differential area and volume in spherical coordinate :

Q: In a cartesian system, vector magnetic potential at a point (x.y.z) is defined as A = 4x2yax +2y2xay…

A: The magnetic flux can be calculated by using the surface integral of the A.

Q: Where surfaces z =5 and o = 60 intersect is %3D An infinite line a cylinder A circle An infinite…

A: Choose the correct option,  The surface charge z= 5 , angle = 60  The intersect is?

Q: Transform given vector A into spherical system. A = xax +y ay + z az

A: The given is cartesian coordinates are given by (x,y,z) the spherical coordinates are expressed in…

Q: Find the Jacobian for a spherical system.

A:

Q: In a cartesian system, vector magnetic potential at a point (x.y,z) is defined as A = 4x2yay +2y²xay…

A: The magnetic flux can be calculated by using the surface integral of the A.

Q: 27. a) Prove that B=yza;+zxa,+xy a- is solenoidal (divergence free) and irrational (curl free).

A: The condition for Solenoidal  is ∇·B→=0 (divergence of the vector should be zero) GivenB→=yz a^x+zx…

Q: B=yzâ;+zxâ,+xyd- is solenoidal (divergence free) and irrational (curl free). (b) Prove that

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Q: Q6) Find the current density J for the magnetic field intensity vectors: (a) H = x*ya, + y°za, -…

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Q: Q2: When x, y and z are positive and less than 6,a certain magnetic field intensity may be expressed…

A: By stoke theorm we will find out current .

Q: (b) For a rectangular box of dimension 2m x 3m x 4m determine the expression for net power flux as…

A: Given:  Brief description : In the above given question they have mentioned an electric field…

Electric field

A physical field present around an electrically charged particle that exerts a force on all other charged particles is called an electric field. The charged particles present in the field either repel or attract. From electric charges or time-varying magnetic fields, the electric field originates. One of the manifestations of electromagnetic force which is one of the four fundamental forces present in nature are the electric fields and magnetic fields.