Question

two current carrying long wires are placed along x axis and y axis resp. magnetic field at any general point in first quadrant is

Answer 1

(3) may be pointing inwards or outwards...


points on ... y = x ... Net magnetic field = 0.
points above ... y = x ... Field will be inwards .
points below ... y = x,... Field will be outwards.

Answer 2

Answer:

Magnetic field at any general point in first quadrant is may be pointing inward and outward.

Explanation:

• The direction of magnetic field due to a current carrying conductor at any point is given by right hand thumb rule .
• Right hand thumb rule: " If we hold a current carrying conductor in grip of our right hand in such a way that right thumb points the direction of flow of current, then curled fingers will give the direction of magnetic field.
• For conductor lying on x-axis, pointing right thumb in the direction of current I2, and curling fingers around the conductor give direction of magnetic field, B2 at point P in 1st quadrant.
• The direction of magnetic field, B2 in 1st quadrant is out of the plane.
• For conductor lying on y-axis, pointing right thumb in the direction of current I1, and curling fingers around the conductor give direction of magnetic field, B1 at point P in 1st quadrant.
• The direction of magnetic field, B1 in 1st quadrant is inward the plane.
• The resultant magnetic field at point, P is difference of both the magnetic fields.
• Since, magnetic field due to a current carrying conductor is

$dB = \frac{μ₀}{4\pi} \frac{i \: dl \: sinθ}{{r}^{2} }$

• The magnetic field is dependent on i and r. So, magnetic field at any point is determined by magnitude of difference of magnetic field at that point .
• Magnetic field at any general point in first quadrant is may be pointing inward and outward.