Questions
A parallel plate capacitor of plate area A and plate separation d is charged to a potential V and then battery is disconnected. A slab of dielectric constant K is then inserted between the plates of the capacitor so as to fill the space between the plates. If Q E and If denote respectively, the magnitude of charge of each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then
detailed solution
Correct option is D
C0=ε0Ad and Q0=C0V=ε0AVd ...(1)When the battery is disconnected, the charge remains the same, i.e.,Q=ε0AV/d. Electric field in the dielectric between plates of capacitor E=Eair K=1KVd ....(2)After the insertion of dielectric, the new capacity C' becomes C′=Kε0Ad=KCNow, V′=QC′=QKC=VKWork done on the systemW=12CV2−12C′V′2=12CV2−12KCVK2=12CV21−1K=12ε0AdV21−1KTalk to our academic expert!
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A parallel plate, air filled capacitor has capacitance C. When a dielectric material of dielectric constant 4 is filled so that half of the space between plates is occupied by it, then percentage increase in the capacitance is equal to
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