Question

The flux density at a point in space is given by B = 4xa_x + 2kya_y + 8a_z Wb/m² . The value of constant k must be equal to
1. -2
2. -0.5
3. +0.5
4. +2
5.

Answer 1

Correct Answer - Option 1 : -2

We know that,

∇.B = 0

\(\left( {\frac{\partial }{{\partial x}}{a_x} + \frac{\partial }{{\partial y}}{a_y} + \frac{\partial }{{\partial z}}a_z} \right)\left( {4 x{a_x} + 2{ky}{a_y} + 8{a_z}} \right) = 0\)

4 + 2K = 0

K = -2