GTU BE04000301 Electromagnetics Summer 2026 Question Paper & PDF

Represent spherical coordinate system with neat sketch indicating coordinates and unit vectors & write differential lengths, areas and volume.

Two vectors extending from origin are v1= (7,3,-2) and v2= (-2,7,-3) then find (a) a unit vector perpendicular to both v1 and v2 (b) area of triangle defined by v1 and v2.

An infinite long uniform line charge with density 30 nC/m is lying along y=3 and z=5. Determine E at point P (5,6,1) due to this line charge.

Calculate the work done in moving a 3 C charge from B(1,3,5) to A(2,0,3) along the straight-line segments joining (1,3,5) to (2,3,5) to (2,0,5) to (2,0,3) in the electric field E = y ax V/m.

A volume is defined by 1< x,y,z < 1.2 in free space. If D = 2x2y ax + 3x2y2 ay C/m² then determine total flux leaving the closed surface using Gauss’s law.

Calculate volume charge density using poisson’s equation if potential at point P(1,2,3) is given by V =4yz/(1+x2) Volts.

Three infinite uniform sheet charges are located in free space as 3 nC/m² at z= - 4, 6 nC/m² at z=1 and -8 nC/m² at z=4. Then find electric field at point P(-1,-5,2).

If V= (v0. ρ /d).cosϕ in cylindrical system then check wheter it satisfies Laplace equation or not.

Write Maxwell’s equations in point form for static and time varying conditions and state their significance.