The diagram shows a wire loop that consists of two different-radius half-circles. Segment 1 has a larger radius than Segment 2, but both segments are centered on point P.
The segments are connected by straight wires as shown, and an unseen source of EMF creates a constant counterclockwise current in the wire.
What is the direction of the magnetic field created at point P due to each wire segment?

Both segments 1 and 2 create magnetic field that is into the page at point P.

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Both segments 1 and 2 create magnetic field that is out of the page at point P.

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Segment 1 creates magnetic field that is out of the page; Segment 2 creates magnetic field that is into the page at point P.

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Segment 1 creates magnetic field that is into the page; Segment 2 creates magnetic field that is out of the page at point P.

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Solution

The correct option is B Both segments 1 and 2 create magnetic field that is out of the page at point P.
Magnetic field due to segment 1 at point P ,

$B_{1} = \frac{μ_{0} I}{4 R_{1}}$ (out of the page , by right hand thumb rule )

Magnetic field due to segment 2 at point P ,

$B_{2} = \frac{μ_{0} I}{4 R_{2}}$ (out of the page , by right hand thumb rule )

as both fields have same direction therefore total magnetic field will also be out of the page a point P .

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