Ex2: Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the y axis 0.5 m Sol:
Q: A nonconducting solid sphere of radius 9.60 cm has a uniform volume charge density. The magnitude of…
A: Given, Radius of sphere R=9.60 cmElectric field at r=19.2 cm is 2.19*103 N/C
Q: An infinite sheet with surface charge density a=5.6 µC/m² bisects a Gaussian surface in the shape of…
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Q: a) A very long non-conducting cylinder has an inner cylinder with radius R1 and uniform charge…
A: Given: The charge density of the inner cylinder of radius R1 is ρ1 The charge density of the outer…
Q: 1 Use the Divergence Theorem to compute the flux of the field (2ye², 25xz, √x² + y² arctan =)) ² +…
A: The given vector field is, F=2yeZ, 25xz, 1x2+y2arctanzx2+y2. The two spheres given in the first…
Q: A cube centered at the orgin with sides that are parallel to the x-y, y-z, x-z plane and have an…
A: Given: The edge length of the given cube is L. The strength of the electric field (E(x)) at any…
Q: 4- Verify the divergence theorem for the vector field A = 3p² â,+2p sin(o) â+2k for the cylinder of…
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Q: A torus (donut shape) is shown, with a negative charge Q1=-69 nC located inside the torus, and a…
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Q: 6. What is the electric flux through the surface shown in this figure? Where 0 = 25°; E = 100 N/C;…
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Q: (a) Find the shape of the free surface under constant ax and gy = -g.
A: Given : To find the shape of free surface under constant ax and gy = - g.
Q: A closed surface with dimensions a=b%3D0.40 m and c=0.60 m is located as in the figure below. The…
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Q: A Gaussian surface has the form of a closed cylinder. If 2 nC of charge is placed inside the…
A: Solution:-Given thatCharge inside cylinder=2 nC=2×10-9 Ccharge outside the cylinder=-3 nC=-3×10-9C
Q: z4 k across the surface S the upper hemisphere of x 2 + y 2 +z2 = 9 in the outward direction Find…
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Q: A solid conducting sphere with radius R = 5.0 cm carries a positive charge Q = 5.0 nC. The sphere is…
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Q: Find the area of the part of the sphere x2 + y2 + z² = 4z that lies inside the paraboloid z = x2 +…
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Q: . Find the surface area of that portion of the paraboloid z = 4-x² - y² that is above the xy plane.
A: Z = 4 - X2 - Y2
Q: Let D = y?z°a + 2xyz*ay + 3xy² z²a, nC/m2 be 2,3. ,2. %3| the electric flux density in free space.…
A: To solve the problem, we will write expression for electric flux and substitute the given values.…
Q: 2a A sphere of radius R=2a is made of a nonconducting material that has a uniform volumetric charge…
A: Given R=2a, Q=5.0nC=5.0x10-9C r=a=1.7cm=0.017m Point P (0,0,y) with y=17cm=0.17m The position of…
Q: What is the net electric flux through the closed cylindrical surface(of Radius=R) shown And What is…
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Q: A closed surface with dimensions a=b%3D0.40 m and c=0.60 m is located as in the figure below. The…
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Q: A closed surface with dimensions a=b=0.40 m and c=0.60 m is located as in the figure below. The left…
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Q: A negative charge (- 6 uC) is spread uniformly over the shell with a radius of 8 cm. Inside this…
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Q: Consider the field F (x, y, z) = 2yj^-> and the sphere centered at the origin of radius a. We can…
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Q: 2. Find the flux across the cylinder y = a² with 0 <r<1 and 0< z< 4 in the vector field F = (-y, r,…
A: Given: The equation of the cylinder is y=x2 with 0≤x≤1 and 0≤z≤4. The vector field is F→=-y,x,1.…
Q: A closed surface with dimensions a=b=0.40 m and c=0.60 m is locate as in the figure below. The left…
A: The flux is equal to
Q: Consider the following conversation: Student 1: "The net flux through the surface in each case must…
A: flux=field ×areastudent 1:as per by gauss law , net flux through a closed surface depend only on…
Q: Q2. Transform the vector V = pâp + zâz to Spherical Coordinates. What is the flux of this vector…
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Q: Q1. We have an electric Flux density D = 0.3² r nC/m² in free space. Find the total flux leaving the…
A: This problem can be solve applying Gauss's law. electric flux is given as φE =1ε∮D.dA Similarly…
Q: 1. Find the flux of the vector field F(x, y, z) = (x, 2z, 3y) outward across the surface of the…
A: Given Data: Vector field F(x,y,z) = x,2z,3y.Vertices = (0,0,0), (1,0,0), (0,2,0), (0,0,3). To…
Q: What is the net electric flux through the closed cylindrical surface(of Radius=R) shown And What is…
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Q: Problem 2: A closed hollow cylinder (i.e., with capped ends) is situated in an electric field…
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Q: A closed surface with dimensions a=b=0.40 m and c=0.60 m is located as in the figure below. The left…
A: A closed surface with dimensionsa=b=0.40 m and c=0.60 m is locatedas in the figure given. The left…
Q: 93 7, a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie…
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Q: Consider the field F(x,y,z)=2y j and the sphere centered at the origin of radius a. We can conclude…
A: This problem can be easily solved by using the law of Gauss's divergence theorem. Which state that…
Q: The electric charge q in the figure is suspended inside the volume of the tetrahedron. The…
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Q: 5-) Given the flux density by the equation. Determine the flow through a circular cylinder with the…
A: Given: D = 20 e-ρ/b aρ - 2 z/b az The standard cylindrical coordinates are (ρ, Φ, z) ρ = 2b 0 <z…
Q: For spherical and cylindrical electrode system designed in optimal geometric dimensions a)- Prove…
A: Spherical electrode system, E=Ur1r2r2-r1 Here, U is applied voltage, r1 is inner electrode radius…
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