Two infinitely long wires carry currents 4 ~A and 3A placed along X -axis and Y -axis respectively. Magnetic field at a point P(0,0 , d) m will be ...... T .

Step-by-step solution

Magnetic field at point P due to I_x aligned B _x & = ₀ I_x 2 d (-Y -direction ) or B _x & =- ₀ 4 2 d j aligned Similarly, magnetic field at point P due to I_y , B _y= ₀ 3 2 d a i Resultant magnetic field, aligned B & = B_x^2+B_y^2 & = ₀ 2 d 4^2+3^2 B & = 5 ₀ 2 d ( at -45^ from X -axis ) aligned