Show that 1volt = 1weber/second
Answers
Answer:
Explanation:ou can refer to Faraday’s Law and show that if the flux through a single turn of a conductor changes at 1 wb/second it induces an EMF of 1 volt across the conductor.
This seems to rely too much on a particular experimental arrangement to be asatisfactory explanation of something that is generally true.
I cant say that I immediately thought- I can see why 1 volt = 1Wb/s.
To get a feel for the more general case, I think you have to explore what a volt is. For this I would want to start with the unit for electric field which can be expressed as Volts/metre ( eg the electric field (E) between parallel plates is E=V/d )
From this we can say V= E x d ie the voltage is the field x distance .
So return to 1 volt = 1 Wb/s, it is telling us that when the magnetic field changes at a certain rate, we get an electric field through an area. This is pretty poor in terms of accuracy but I want to try to get over the idea that a changing magnetic field produces an electric field. Now this idea is how electromagnetic waves propagate, this works in empty space with no apparatus present- so it gets closer to showing that 1Wb/s = 1 volt in the general case.
I could have quoted Faradays Law from Maxwells equations but I suspect if you understood Maxwells equations, the question would not have been asked.
EMF = B×L×v×sinθ
where
B = magnetic flux density (T or Wb/m²)
L = length of the conductor cutting the M field (m)
v = relative velocity of conductor to M field (m/s)
θ = angle between the direction velocity and direction of field lines.
By unit analysis, we can say that
[V] = [Wb/m2][m][m/s]
[V] = [Wb/s]
The simplest equation I can drop is the formula involving motors and generators, or simply a conductor cutting M field lines.
EMF = B×L×v×sinθ
where
B = magnetic flux density (T or Wb/m²)
L = length of the conductor cutting the M field (m)
v = relative velocity of conductor to M field (m/s)
θ = angle between the direction velocity and direction of field lines.
By unit analysis, we can say that
[V] = [Wb/m2][m][m/s]
[V] = [Wb/s]
HOPE THIS HELPS
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