Current passes through the circuit while a capacitor is charging (or draining). However, no actual charge transfer occurs in the insulated region between the capacitors, which is incompatible with current flow. As a result, displacement current is the current flowing through the insulated zone as the electric flux changes.
For a charged capacitor, electric field between the plates is given by:
![\[\begin{array}{l} \mathrm{E}=\frac{\mathrm{Q}}{\varepsilon_{0} \mathrm{~A}} \\ \mathrm{Q}=\varepsilon_{0} \phi_{\mathrm{E}} \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-97768edc7a26bc1283025fc28352e9c3_l3.png "Rendered by QuickLaTeX.com")
Displacement current is given by:
![\[\mathrm{i}_{\mathrm{d}}=\frac{\mathrm{dQ}}{\mathrm{dt}}=\varepsilon_{\mathrm{0}} \frac{\mathrm{d} \phi \mathrm{E}}{\mathrm{dt}}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-45f3268d8aeb3658abaa98b40bd10456_l3.png "Rendered by QuickLaTeX.com")
According to Maxwell’s Ampere circuital Law, the line integral of magnetic field along a closed path is equal to 
times the total current.
![\[\oint \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dl}}=\mu_{\mathrm{o}}\left(\mathrm{i}_{\mathrm{c}}+\mathrm{i}_{\mathrm{d}}\right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-b856100d4245e5d08584ce391eefdd27_l3.png "Rendered by QuickLaTeX.com")
where 
: Conduction current
: Displacement current
![\[\oint \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dl}}=\mu_{0}\left(\mathrm{i}_{\mathrm{c}}+\varepsilon_{0} \frac{\mathrm{d} \phi}{\mathrm{dt}}\right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-603b33a23f009b8c7b17481e52318655_l3.png "Rendered by QuickLaTeX.com")
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west of the geographic north. The north tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian points above the horizontal. The horizontal component of the earth’s field is measured to be 
Specify the direction and magnitude of the earth’s field at the location.At a certain location in Africa, a compass points 
and 
carrying currents of 
and 
in the same direction are separated by a distance of 
. Estimate the force on a 
section of wire A.
wire carrying a current of 
is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 
. What is the magnetic force on the wire?
and making an angle of 
with the direction of a uniform magnetic field of 
. What is the magnitude of the field 
at a point 
from the wire?
-turns carrying current 
.
is at distance 
from the wire. Find the force acting on the electron if its velocity is directed towards the wire.