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Question

Physics Question on Magnetism and matter

Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is 5.0 cm. The magnitude of the magnetic field at a point P midway between the wires is ____ μT
(Given: μ0=4π×107TmA1\mu_0 = 4\pi \times 10^{-7} \, \text{TmA}^{-1})
Straight wire

Answer

The magnetic field BB at a point midway between two parallel currents in opposite directions is:

B=μ0I2πa×2=4π×107×10π×(2.5×102)B = \frac{\mu_0 I}{2 \pi a} \times 2 = \frac{4 \pi \times 10^{-7} \times 10}{\pi \times (2.5 \times 10^{-2})} =16×105=160μT= 16 \times 10^{-5} = 160 \, \mu T