Engineering
Physics
Magnetization and Magnetic Intensity
Question

As shown in the figure, two infinitely long, identical wires are bent by 90° and placed in such a way that the segments LP and QM are along the x-axis, while segments PS and QN are parallel to the y-axis. If OP = OQ = 4cm, and the magnitude of the magnetic field at O is 10–4 T, and the two wires carry equal currents (see figure), the magnitude of the current in each wire and the direction of the magnetic field at O will be (µ0 = 4π × 10–7 NA–2) :

20 A, perpendicular into the page

40A, perpendicular into the page

20 A, perpendicular out of the page

40A, perpendicular out of the page

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Solution

B=2[μ0i4nd(cosθ1−cosθ2)]

B = 10–4                  θ1 = 90°

µ0 = 4π × 10–7       θ2 = 180°

d = 4 × 10–2

⇒ i = 20 A (into the page)