Pls solve 13q along with explanation and pls dont give any links

​Q13. A current of i ampere is flowing through the adjoining bent wire. Find the magnitude and direction of the magnetic field at the point O.
         
                    
     Ans .   B   = μ 0 i 8 1 a 1 + 3 a 2 , perpendicular to the page, directed downwards.
 

Magnetic field due to a wire bent in the form of a sector of angle θ of a circle of radius R, B=μ0I2rθ2πMagnetic field at center O due to sector of angle π2 of radius a1, B1=μ0I2a1π22π=μ0I8a1 direction:inside the plane of paperMagnetic field at center O due to sector of angle 3π2 of radius a2, B2=μ0I2a23π22π=3μ0I8a2 direction:inside the plane of paperMagnetic field on the axis of a straight current carrying wire is zeroSo net magnetic field at O,B=μ0I8a1+3μ0I8a2=μ0I81a1+3a2,  direction:inside the plane of paper

  • 2
What are you looking for?