Use integration to compute the total force on q in the x direction

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Q: a) Find the outward flux of the vector field F(x,y,z) = x³i+ y°j+(z³ + xz)k across the surface of…

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Q: Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C,…

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Q: 14 kg object is dropped from rest on a surface inclined 31º from the horizontal and slides 10.9 m to…

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Q: Re-derive Gauss’s law for the gravitational field, with g → directed positively outward.

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Q: The friends now try a homework problem. Consider an electron, of charge magnitude e = 1.602 × 10-1⁹…

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Q: (Figure 1) shows five electric charges. Four charges with the magnitude of the charge 2.0 nCnC form…

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Q: Evaluate both sides of the Divergence Theorem of the given vector field D = ye* ax + z(xy)? ay + (x…

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Q: Consider the portion of the sphere shown in the figure. Given the field H = 6r sin Ø ȓ + 18r sinθ…

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Q: Two conductors with concentric radii r1=12 m and r2=25 m are placed in such a way that their center…

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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: 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…

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Q: Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C,…

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Q: Find the net electric force in the given system on Q, due to other given charges. Q = 2.7 x 105 c…

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Q: Find the angle between these given vectors: u3D{7.19] v- (12,-5]

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

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Q: 16. A vector whose divergence is zero everywhere is said to be solenoidal and a vector wh curl is…

A: 16)a  ϕ and ψ are differentiable functions, such that A→=∇→ϕand B→=∇→ψR.T.P: A→×B→ is…