First slide

Displacement current

Question

A condenser has two conducting plates of radius 10 cm separated by a distance of 5 mm. It is charged with a constant current of 0.15 A. The magnetic field at a point 2 cm from the axis in the gap is

Moderate

Solution

Magnetic induction at a distance point from the axis of the plates is
R = 10 cm = 10^–1 m
$\begin{array}{rcl} B & = & (\frac{μ_{0} i_{d}}{2 {πR}^{2}}) r; r = 2 cm = 2 x 10^{- 2} m \\ = & \frac{4 π x 10^{- 7} x 15 x 10^{- 2} x 2 x 10^{- 2}}{2 π x 10^{- 2}} \\ = & 60 x 10^{- 9} \\ = & 6 x 10^{- 8} T \end{array}$

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