Two circular loops of wire, each containing a single turn, have the same radius of 3.40 cm and a common center. the planes of the loops are perpendicular. each carries a current of 1.80 a. what is the magnitude of the net magnetic field at the common center?

To solve for the net magnetic field of two circular loops of wire, each containing a single turn

B net= √[( NUI / 2R)^2 × ( NUI / 2R)^2]

Where B net = Net magnetic field

B net = √2 × (NUI/ 2R)

B net =[ √2 × 1 × ( 4 × 3.142 × 10^-7) × (1.8)] ÷ 2 × 0.034

B net = { 1.414 × (0.00000126) × (1.8)}÷ 0.068

B net = 4.72 × 10^-5 T