The space between the plates of a parallel plate capacitor is filled completely with a dielectric substance having dielectric constant $$4$$ and thickness $$3$$ mm and its capacitance is C. The distance between the plates in now increased by inserting a second sheet of thickness $$5$$ mm and dielectric constant K. If the capacitance of the capacitor so formed is $$C/2$$ then the value of K is

Question

The space between the plates of a parallel plate capacitor is filled completely with a dielectric substance having dielectric constant $$4$$ and thickness $$3$$ mm and its capacitance is C. The distance between the plates in now increased by inserting a second sheet of thickness $$5$$ mm and dielectric constant K. If the capacitance of the capacitor so formed is $$C/2$$ then  the value of K is

Infinity Learn · Accepted Answer

Original capacitance $$4CFinal$$ $$capacitance4C$$×$$3KC54C+3KC5=4C2Solving$$ K $$=$$ $$20/3$$

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