Section 39.5 Superposition of Magnetic Fields
Often, we encounter situations where more than one current is involved, each producing its own magnetic field. Suppose, we have two wires carrying currents with \(\vec B_1\) be the magnetic field of wire 1 and \(\vec B_2\) be the magnetic field of wire 2. The net magnetic field will be just a vector sum of the two.
\begin{equation}
\vec B = \vec B_1 + \vec B_2.\tag{39.5.1}
\end{equation}
This is called superposition principle of magnetic field.