Problems with capacitors in magnetic fields

Why does a capacitor have a curly magnetic field?

Since the capacitor plates are charging, the electric field between the two plates will be increasing and thus create a curly magnetic field. We will think about two cases: one that looks at the magnetic field inside the capacitor and one that looks at the magnetic field outside the capacitor.

Is there a magnetic field outside a capacitor?

There cannot be a magnetic field outside the capacitor and nothing inside. However, applying this law to surface S2, which is bounded by exactly the same curve ∂ S, but lies between the plates, provides: B = . Any surface that intersects the wire has current I passing through it so Ampère's law gives the correct magnetic field.

Why does a capacitor have a higher electric field than a current?

Because the current is increasing the charge on the capacitor's plates, the electric field between the plates is increasing, and the rate of change of electric field gives the correct value for the field B found above. d dt

Can a capacitor have a magnetic field without a conduction current?

and again the magnetic field is given by eq. (37). the capacitor without direct use of any conduction current. However, this should not be currents. Rather, we follow Maxwell in noting that both conduction and displacement cur- situations. The calculations in secs. A.1 and A.3-4 have all been based on Amp`ere’s law, which gives

What happens if a capacitor is formed by two circular armatures?

If in a flat capacitor, formed by two circular armatures of radius R R, placed at a distance d d, where R R and d d are expressed in metres (m), a variable potential difference is applied to the reinforcement over time and initially zero, a variable magnetic field B B is detected inside the capacitor.

Do variations in V(t) produce magnetic fields between capacitor plates?

Thus we could conclude that variations in V(t) will produce magnetic fields between capacitor plates by virtue of Ampere’s law and the values of either ∂∂Dt between the capacitor plates or⎯Jswithin the plates. These two approaches to finding⎯H (using ∂∂D t or⎯Js) yield the same result because of the self-consistency of Maxwell’s equations.