As shown in the figure, two infinitely long, identical wires are bent by $90^o$ 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 $OP = OQ = 4\, cm$, and the magnitude of the magnetic field at $O$ is $10^{-4}\, T$, and the two wires carry equal current (see figure), the magnitude of the current in each wire and the direction of the magnetic field at $O$ will be $(\mu_ 0 = 4\pi \times10^{-7}\, NA^{-2})$

Q: As shown in the figure, two infinitely long, identical wires are bent by $90^o$ 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 $OP = OQ = 4\, cm$, and the magnitude of the magnetic field at $O$ is $10^{-4}\, T$, and the two wires carry equal current (see figure), the magnitude of the current in each wire and the direction of the magnetic field at $O$ will be $(\mu_ 0 = 4\pi \times10^{-7}\, NA^{-2})$

c $B=2\left[\frac{\mu_{0} i}{4 n d}\left(\cos \theta_{1}-\cos \theta_{2}\right)\right]$ $B=10^{-4} \quad \theta_{1}=90^{\circ}$ $\mu_{0}=4 \pi \times 10^{-7} \quad \theta_{2}=180^{\circ}$ $d=4 \times 10^{-2}$ $\Rightarrow \mathrm{i}=20\, \mathrm{A}$ (into the page)

Question

A$20\, A$, perpendicular out of the page
B$40\, A$, perpendicular out of the page
C$20\, A$, perpendicular into the page
D$40\, A$, perpendicular into the page

JEE MAIN 2019, Diffcult

Download our app
and get started for free

Similar Questions

Download our appand get started for free

Similar Questions

Download our app
and get started for free