Ampere's Law or Calculation of Magnetism Field
Also a tangent question: How exactly do you use Ampere's law? For instance, you have a finite wire, draw an Amperian loop along its length and you get an incorrect expression for cylindrically radial component of magnetic field.
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@Gyro Gearloose
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.This is from Irodov iirc
I remember seeing it
Answer should be zero?
Nvm, not zero, I dumb. Just field due to straight conductor
Field due to plane is zero
mu_0 I/2pir above the plate and zero below
But yeah I got that biot savart, but still the main doubt is as mentioned in the post above.
No, you get the correct expression, do you not?
You get zero
In your Amperian loop question that is
Yeah, but how does biot-savart law work in finite wire? Further what exactly is the significance of the plate-thingy here?
Oh crap, Im so dumb 🤦♂️ I confused Ampere's Law with Biot-Savart's
Biot-Savart for finite wire is really direct. I'm not sure what your confusion there is.
The plate thingy here, iirc, has a symmetric current distribution (radial), you could think of it as semi-infinite wires with opposite current from origin to infinity in all directions.
Oh, you want Ampere's law for finite wire?
Yeah
I'm not sure it would work because the magnetic field is really really ill defined near the ends of the conductor
Ah, is that the reason why you get an incorrect result?
The loop you mentioned gives zero, so I don't think that's an issue
I was thinking about this scenario. Cylindrically symmetric B & Loop and a finite wire with current I
It should still work in the differential form
Where you have j instead of i
did you do the question by amperes law or biot savart law
Ampere's
Oh god, the curl of magnetic field = mu*j form?
at P how do you get field due to the plane to be 0 from amperes law
No at P the answer is mu*I/2 pi r, below the plate its zero
I'm asking about field due to the plane not the net field
field due to the plate
Field due to plate at P=ne field-field due to wire no?
so to get the net field you are taking an amperian loop parallel to the plate and circular ?
won't that give you only tangential field to the loop or I'm just overthinking it
+solved @Opt
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