ENSU HOME WORK (1): The field B = -2āx +3āy +4āz mT is present in free space. Find the vector force exerted on a straight wire carrying 12 A in the AB direction, given A(1, 1, 1) and: (a) B(2, 1, 1); (b) B(3, 5, 6). AF

Q: Problem 2.20 One of these is an impossible electrostatic field. Which one? (a) E=k[xy£+2yzý+3xzZ];…

A: For a possible electric field, curl of E should be zero

Q: Two concentric cylinders of radius ra and rb, (ra rb.

A: Refer to the figure below :  Let the length of the cylinders be L.

Q: A vector field is defined by v = (yz, xz, xy). Show that curl v = 0.

A: v=(yz,xz,xy)

Q: the origin. Initially particle 1 is at x₁ = -10.0 cm and particle 3 is at x3 = 10.0 cm. (a) To what…

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Q: y, z) = (x. y, z²)across the boundary of

A: Given: To find the flux across the boundary as,

Q: Two charges of magnitude Qı=3×10“ C and Q2= -104 C are placed at the points P(1, 2, 3) and Q(2, 0,…

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Q: Determine whether the following vector field is conservative. If it is , find the potential…

A: The given force field is; F→=cosz,2y,-xsinzF→=coszx^+2yy^+-xsinzz^ The condition for a force field…

Q: y dE R +dQ

A:

Q: Given the two points P(1,2,3) and Q(2,-2,1) find the vectors

A: Tail of both 'vector lies on origin

Q: The normal force is always perpendicular to the surface. True False

A: As per Newton's third law, for every action force, there is a reaction force.

Q: Calculate the flux of the vector field F = (5 – x) i through the cube whose vertices include the…

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Q: A charged particle of hMass M length ? = 25.5 cm and spun in circular motion with a = 7.85 rad/s.…

A: Let us resolve the mass of particle and electric field into their corresponding horizontal and…

Q: A particle of mass m carrying a charge - starts moving around a fixed charge +92 along a circular…

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Q: Find the electnc field intensity at the point P(8,4,4) due to a uniform line charge lying along the…

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Q: Compute the flux of the vector field F = through the surface S where S is the surface bounded by r=…

A: Write the given values of this problem. F→=<r2+sin2θ,rsinθ cosθ,3z>Bounded surface=Sr=2, Z=0,…

Q: Consider another subatomic particle called muon (u), quite similar to an electron; it is found that…

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Q: Calculate the gradient V(x,y,z) for the scalar field (x,y,z) defined as (x, y, z) = 32xz + 18yz3 +…

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Q: 1. Show that F is a conservative vector field and then find a function f such that F = Vf where F(x,…

A: We have a vector field which is given by the expression F→=(exlny)i^+(ex/y+sinz)j^+(ycosz)k^. We…

Q: 2. Show that F is a F(x, y, z) = (e)i + (xey + ez)j + (yez)k and C is the line segment from (0, 2,…

A: If a force is ,  F→=Mi⏜+Nj⏜+Pk⏜it will be a conservative field only and only if∂M∂y=∂N∂x , ∂N∂z=∂P∂y…

Q: Point charge of Q=1uC at A(1,0,-5) B(2,-1,3) C(-1,0,4) and D(-1,2,3). Find the total vector force…

A: Given the point charge of Q =1uC so let we assume that A B C and D are four points and they were…

Q: 4.1 Is the vector field V(x,y,z)=3y²z î+ 4x'z*j+2x’y’(-k) a sink field at (1,-2,1). 3 4.2 Use Vx V…

A: Solution: 4.1 A vector field sinks if the divergence of the field is less than zero at the given…

Q: For an infinitely long conducting cylinder of radius a, with its axis coincident with its z-axis,…

A: The Laplacian equation can be re-written using the Laplacian operator form in cylindrical operator…

Q: Suppose a twodimensional force field is everywhere directed outward from the origin, and C is a…

A: It is given that the two-dimensional force field is directed outward from the origin everywhere.…

Q: b.Show that the vector field A is conservative if A possess one of these two properties: i) The…

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Q: A metal spherc with radius r=2.0 cm is suspended from the ceiling by an insu kating rope. A point…

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Q: a solenoid composed of 500 turns with a length of L = 10 cm and a diameter of 2 cm, flowing with a…

A: n=500 L=10 cm= 0.1 m diameter=2 cm r=1 cm= 0.01 m I=2A a. B=nμ0I2cos θ1-cosθ2 cos…

Q: If the field is centrally represented by F = f(x, y, z), r = f(r)r, then it is conservative…

A: We have-F=f(x,y,z),r=f(r)rF=0,  that is field is irrotational.

Q: 20сm — 10ст- -1µC

A: According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is…

Q: U (x) = b x x +C 2.

A: Equilibrium points are the points where particles can stay permanently at rest i.e. Force acting on…

Q: Four positive charges, each of modulus q, are placed at the vertices of a rectangle of sides a and…

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Q: A charge of 3 x 10 -4 C at P (1, 2, 3) and a charge of -10 -4 C at Q (2, 0, 5) in a vacuum.…

A: Given value--- A charge of 3 x 10 -4 C at P (1, 2, 3). a charge of -10 -4 C at Q (2, 0, 5). We…

Q: Problem 1: A point-Q is located at (a, 0, 0) while another charge Q is at (-a, 0, 0). Calculate the…

A: Here, k=8.98×109 Nm2C-2

Q: (b) Using Gauss's law, determine the gravitational field g(r) for all points in the regions 0R

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Q: A light, unstressed spring has length d. Two identical particles, each with charge q, are connected…

A: The expression for the spring force,   The expression for the Coulomb force between two identical…

Q: A charge oartical of mass 1 kg and charge 2 C starts at the origin with zero initial velocity in a…

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Q: Although the vector nature of forces deems otherwise, the electrical attraction between two…

A: The total charge =120μcThe distance d=40cm

Q: Particle 1 carrying charge +4g is foxed at the origin of a rectangular coordinate system, particle 2…

A: