The plates of parallel plate capacitor are charged upto $$100$$ V. A $$2$$ mm thick plate is inserted between the plates. Then to maintain the same potential difference, the distance between the plates is increased by $$1.6$$ mm. The dielectric constant of the plate is

Question

Infinity Learn · Accepted Answer

In air the potential difference between the plates Vair $$=$$σε$$0$$⋅d                  …(i)In$$ the presence of partially filled medium potential difference between the plates $$Vm=$$σε$$0(d$$−$$t+tK)            …(ii)Potential$$ difference between the plates with dielectric medium and increased distance is Vm'$$=$$σε$$0(d+d$$'$$)−$$t+tK$$            …$$(iii)According$$ to question $$Vair=Vm$$' which gives $$K=tt$$−d'Hence $$K=22$$−$$1.6=5$$

The plates of parallel plate capacitor are charged upto 100 V. A 2 mm thick plate is inserted between the plates. Then to maintain the same potential difference, the distance between the plates is increased by 1.6 mm. The dielectric constant of the plate is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material