Is there any doable way to find this outside the cylinder or anywhere that's not the axis (at finite distance)? The 2kL/r (L being lambda) is basically infinite thin and infinitely long wires wires at distance of r from a point. I can't think of any way to concentrate the charges to a point so as to avoid having a variable R if we're not observing the centre. Any suggestions or it's not practical?
Yes. And it will come constant everywhere inside as the answer we calculated(even though we did it at z-axis here). I am happy you noticed the similarity :)
@@Ankit_Singhvi Sir i tried to derive the surface charge density as you did in 3.17 but the σ is coming out to be 'ρt' where t is the length of the elemental cylinder(as you took in the derivation in 3.17), and therefore it is not matching with σ=(σ0)cos(x)...please help I DID IT
Is there any doable way to find this outside the cylinder or anywhere that's not the axis (at finite distance)? The 2kL/r (L being lambda) is basically infinite thin and infinitely long wires wires at distance of r from a point. I can't think of any way to concentrate the charges to a point so as to avoid having a variable R if we're not observing the centre. Any suggestions or it's not practical?
Inside its a constant. Outside it can be found by approximating it to two almost overlapping cylinders of opposite charges. Just like 3.17!
@@Ankit_Singhvi Oh right my bad sir, I forgot. Thanks a lot!
can be done like in 3.17 ??
Yes. And it will come constant everywhere inside as the answer we calculated(even though we did it at z-axis here). I am happy you noticed the similarity :)
@@Ankit_Singhvi Sir i tried to derive the surface charge density as you did in 3.17 but the σ is coming out to be 'ρt' where t is the length of the elemental cylinder(as you took in the derivation in 3.17), and therefore it is not matching with σ=(σ0)cos(x)...please help
I DID IT