Solveeit Logo
Login

Question

Physics Question on Moving charges and magnetism

A pair of stationary and infinitely long bent wires are placed in the x-y plane as shown in figure. The wires carry currents of 10A each as shown. The segments L and M are along the x-axis. The segments P and Q are parallel to the y-axis such that OS = OR = 0.02m. Find magnitude and direction of the magnetic induction at the origin O.
A pair of stationary and infinitely long bent wires are placed in the x-y plane as shown in figure

A

100 Wb m−2100\,Wb\,m^{-2} vertically upward

B

10−4 Wb m−210^{-4}\,Wb\,m^{-2} vertically downward

C

10−4 Wb m−210^{-4}\,Wb\,m^{-2} vertically upward

D

0.01 Wb m−20.01\,Wb\,m^{-2} vertically downward

Answer

10−4 Wb m−210^{-4}\,Wb\,m^{-2} vertically upward

Explanation

Solution

Point O is along the segments L and M, so magnetic field due to them is zero. Point O is near the end of conductors P and BR=Bp+BQ=μ0I4πRO+μ0I4πSO=μ04π(2Id)B_R = B_p + B_Q = \frac{\mu_0 I}{4\pi RO} + \frac{\mu_0 I}{4 \pi SO} = \frac{\mu_0}{4 \pi} \left( \frac{2I}{d}\right) Using the given data, BR=10−7×2×100.02=10−4Wbm−2B_R = 10^{-7} \times \frac{2 \times 10}{0.02} = 10^{-4} Wbm^{-2} , outside the sheet of paper.