GATE 2023 Electromagnetics & transmission line Quiz 36

A vector field is given as:

Then the value of K for which given field is solenoidal

Let D = 2xa_x + 3ya_y + za_z nC/m². Find the amount of electric flux crossing the surface defined by 0 ≤ x ≤ 1, 1 ≤ y ≤ 3, 0 ≤ z ≤ 2 is ………..nC

Consider scalar fluid given by V = xy²z³. Find the magnitude of rate of change of V in space at (1, 1, 1)

Given vectors A = 3a_x + 4a_y + a_z and B = 2a_y – 5a_z. Choose the correct option(s)

A charged particle of mass 1 kg and charge 1 C starts moving with velocity  in an electric field . At time t = 1s, the velocity of particle will be,

The direction of vector  is radially outward from the origin, with |A| = Krⁿ

Where, r² = x² + y² + z² and K is a constant. The value of n for which  is