1.

Figure shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15 A.Obtain the displacement current across the plates.

Answer»

Solution :According to the formula of displacement current
`i_(d)=in_(0)(d Phi_(E ))/(dt)` (Where `Phi_(E )=` ELECTRIC FLUX)
`= in_(0)(d)/(dt)(AE)`
`=in_(0)(d)/(dt)(A XX(sigma)/(in_(0)))(because E=(sigma)/(in_(0)))`
`= in_(0)xx(1)/(in_(0))(d)/(dt)(A sigma)`
`= (dQ)/(dt)(because sigma =(Q)/(A)rArr Q=A sigma)`
`=i_(C )` (Where `i_(C )=(dQ)/(dt)=` CONDUCTION current)
= 0.15 A


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