In the loop shown, the magnetic induction at the point O is

Question

In the loop shown, the magnetic induction at the point O is (A)  (μ0 I/8)( (R1-R2/R1R2)) (B)  (μ0 I/8)( (R1+R2/R1R2)) (C)  (μ0 I/8)( (R1R2/R1+R2) ) (D) Zero

Tardigrade Admin · Accepted Answer

Net magnetic field at O B = B1+B2 = (-π/2/2π)-(μ0I/2R1)+(π/2/2π)⋅(μ0I/2R2) = (μ0I/8)((R1+R2/R1R2))

Q. In the loop shown, the magnetic induction at the point $O$ is

$\frac{μ _{0} I}{8} (\frac{R _{1} - R _{2}}{R _{1} R _{2}})$

$\frac{μ _{0} I}{8} (\frac{R _{1} + R _{2}}{R _{1} R _{2}})$

$\frac{μ _{0} I}{8} (\frac{R _{1} R _{2}}{R _{1} + R _{2}})$

$Z ero$

Net magnetic field at O
$B = B_{1} + B_{2} = \frac{- π /2}{2 π} - \frac{μ _{0} I}{2 R _{1}} + \frac{π /2}{2 π} \cdot \frac{μ _{0} I}{2 R _{2}}$
$= \frac{μ _{0} I}{8} (\frac{R _{1} + R _{2}}{R _{1} R _{2}})$

Q. In the loop shown, the magnetic induction at the point O is

8μ0​I​(R1​R2​R1​−R2​​)

8μ0​I​(R1​R2​R1​+R2​​)

8μ0​I​(R1​+R2​R1​R2​​)

Zero