As shown in the figure same current is flowing in the two similar coils. The centres of the coil coincide and the planes are perpendicular. If B is the magnetic field due to a coil then what would be the resultant magnetic field at coinciding center?(a) Zero(b) 2B(c) \(\frac{B}{\sqrt{2}}\)(d) \(\sqrt{2} B\)

As shown in the figure same current is flowing in the two similar coil

1.	As shown in the figure same current is flowing in the two similar coils. The centres of the coil coincide and the planes are perpendicular. If B is the magnetic field due to a coil then what would be the resultant magnetic field at coinciding center?(a) Zero(b) 2B(c) \(\frac{B}{\sqrt{2}}\)(d) \(\sqrt{2} B\)
Answer» (d) \(\sqrt{2} B\) Resultant magnetic field at common centre B = \(\sqrt{\left(B_{1}^{2}+B_{2}^{2}\right)}=\sqrt{B^{2}+B^{2}}=\sqrt{2} B\)