A capacitor made of two circular plates each of radius $$12$$ cm and separated by $$5mm$$. The capacitor is being charged by an external source. The charging current is constant and equal to $$0.15A$$. The magnetic field between the plates at a point $$15$$ cm from the axis is

Question

Infinity Learn · Accepted Answer

Consider a loop of radius ’r’ between the two circular plates placed coaxially with them . Area of the loop  A'$$=$$π$$r2In$$ this case, only displacement current ID will cross the loop. Therefore using Ampere’s Maxwell law, we have∮B→.dl→$$=$$μoID ⇒$$2$$$$π$$$$rB=$$μ$$ox($$ current passing through the area A'$$)$$  ⇒$$2$$$$π$$$$rB=$$μoI×π$$r2$$$$π$$$$R2$$     [for rR  ,   $$B=$$μ$$0I2$$$$π$$r∴  $$B=4$$π×$$10$$−$$7$$×$$0.152$$π×$$0.15=2$$×$$10$$−$$7T$$

A capacitor made of two circular plates each of radius 12 cm and separated by 5mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.15A. The magnetic field between the plates at a point 15 cm from the axis is

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