A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d 1 and dielectric constant K 1 and the other has thickness d 2 and dielectric constant K 2 as shown in figure. This arrangement can be through as a dielectric slab of thickness (d=d 1 +d 2 ) and effective dielectric constant K. The K is

Text Solution
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C
The capacities of two individual condensers are
and 
The arrangement is equivalent to two capacitors joined in series.
Equivalent capacitance, 


or,
…(i)
Also
…(ii)
From (i) and (ii),


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