Amperes Law

Question:
Find the magnetic field at P due to given arrangement of current carrying wire
..Plz solve by Amperes law ...
PFA

What's the mistake indeed ?
As the correct answer is 2√2ui/πa

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iTeachChem Helper•7/10/24, 9:05 AM

@Gyro Gearloose

iTeachChem Helper•7/10/24, 9:05 AM

Note for OP

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SSay_miracle_shadow Question: Find the magnetic field at P due to given arrangement of current carry...

lmaodedXD•7/10/24, 9:12 AM

ampere's circuital law inaccurate, usme maxwell ka correction lagta hai (for line current, it only gives correct B when the wire is infinitely long

)
pls only trust biot savart for such questions

LlmaodedXD ampere's circuital law inaccurate, usme maxwell ka correction lagta hai (for lin...

Say_miracle_shadowOP•7/10/24, 9:25 AM

Could you tell why Amperes circuital law is inaccurate here and what exactly is Maxwell correction ?
@lmaodedXD

LlmaodedXD ampere's circuital law inaccurate, usme maxwell ka correction lagta hai (for lin...

Say_miracle_shadowOP•7/10/24, 9:26 AM

Yess
,At the first glance I did by Biot Savarts law but then the Amperes law just striked my mind ...

SSay_miracle_shadow Yess ,At the first glance I did by Biot Savarts law but then the Amperes law jus...

lmaodedXD•7/10/24, 10:09 AM

i just know the formula you add
some constants* d(electric flux)/dt to the original RHS ( Unot I) pls google it

Mohit•7/10/24, 2:33 PM

You're applying the Ampere Circuital Law incorrectly. Treat the sides of the square as a separate wire in itself. at point P, the Magnetic field will be into the frame if you use the convention by Biot Savart's law. Once you have a direction, draw a circle concentric to the centre of the wire. The vector dl will be along the circumference of the circle.