Awire, of length l = 4.1 mm, on a circuit board carries a current of i = 1.96 μa in the j direction. a nearby circuit element generates a magnetic field in the vicinity of the wire of b = bxi + byj + bzk, where bx = 4.9 g, by = 2.3 g, and bz = 2.4 g.
a. calculate the magnitude of the magnetic field b, in gauss, in the vicinity of the wire due to the circuit element.