If a potential V is 2V at x = 1mm and is zero at x=0 and volume charge density is -106εo, constant throughout the free space region between x = 0 and x = 1mm. Calculate V at x = 0.5mm.(a) 0.875(b) 0.675(c) 0.475(d) 0.275This question was posed to me by my college director while I was bunking the class.My question comes from Laplacian Operator topic in division Vector Calculus of Electromagnetic Theory

If a potential V is 2V at x = 1mm and is zero at x=0 and volume charge

1.	If a potential V is 2V at x = 1mm and is zero at x=0 and volume charge density is -106εo, constant throughout the free space region between x = 0 and x = 1mm. Calculate V at x = 0.5mm.(a) 0.875(b) 0.675(c) 0.475(d) 0.275This question was posed to me by my college director while I was bunking the class.My question comes from Laplacian Operator topic in division Vector Calculus of Electromagnetic Theory
Answer» Correct option is (d) 0.275 Explanation: Del^2(V) = -ρv/εo= +106 On INTEGRATING TWICE with respect to X, V = 106. (x^2/2) + C1x + C2. Substitute the boundary conditions, x = 0, V = 0 and x = 1mm, V = 2V in V, C1 = 1500 and C2 = 0. At x = 0.5mm, we get, V = 0.875V.

Discussion

No Comment Found

Related InterviewSolutions

For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π^2 m.(a) 1(b) 2(c) 3(d) 4This question was addressed to me by my school teacher while I was bunking the class.The question is from Gauss Divergence Theorem topic in portion Vector Calculus of Electromagnetic Theory
If a function is described by F = (3x + z, y^2 − sin x^2z, xz + ye^x5), then the divergence theorem value in the region 0
Find the divergence theorem value for the function given by (e^z, sin x, y^2)(a) 1(b) 0(c) -1(d) 2I got this question in a job interview.My query is from Gauss Divergence Theorem topic in chapter Vector Calculus of Electromagnetic Theory
The divergence theorem value for the function x^2 + y^2 + z^2 at a distance of one unit from the origin is(a) 0(b) 1(c) 2(d) 3I have been asked this question by my college director while I was bunking the class.I need to ask this question from Gauss Divergence Theorem in portion Vector Calculus of Electromagnetic Theory
The divergence theorem for a surface consisting of a sphere is computed in which coordinate system?(a) Cartesian(b) Cylindrical(c) Spherical(d) Depends on the functionThe question was asked during an interview.Question is from Gauss Divergence Theorem in portion Vector Calculus of Electromagnetic Theory
Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions.(a) 0(b) 3(c) -3(d) 1The question was asked by my school teacher while I was bunking the class.I want to ask this question from Gauss Divergence Theorem in chapter Vector Calculus of Electromagnetic Theory
The Gauss divergence theorem converts(a) line to surface integral(b) line to volume integral(c) surface to line integral(d) surface to volume integralThis question was addressed to me in an online interview.This key question is from Gauss Divergence Theorem topic in chapter Vector Calculus of Electromagnetic Theory
Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x^2 + y^2 + z^2 = 9.(a) 120π(b) 180π(c) 240π(d) 300πThis question was addressed to me during a job interview.My enquiry is from Gauss Divergence Theorem topic in division Vector Calculus of Electromagnetic Theory
Gauss theorem uses which of the following operations?(a) Gradient(b) Curl(c) Divergence(d) LaplacianThis question was posed to me in an online interview.I want to ask this question from Gauss Divergence Theorem topic in chapter Vector Calculus of Electromagnetic Theory
Calculate the Green’s value for the functions F = y^2 and G = x^2 for the region x = 1 and y = 2 from origin.(a) 0(b) 2(c) -2(d) 1I got this question during an interview for a job.This key question is from Green’s Theorem topic in division Vector Calculus of Electromagnetic Theory

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment