**Category:** Electromagnetism  
**Subtype:** Electromagnetic Waves  
**Problem Description:** This problem involves analyzing the behavior of an electromagnetic wave, specifically focusing on the relationship between the magnetic field and the electric field. The task is to determine the first time after \(t=0\) when the electric field intensity at a point is zero, given the time-varying magnetic field described by the equation \(B = B_{0} \cos(2 \pi \cdot 10^{6} t)\).