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Standard XII
Physics
Dielectrics and Polarisation
Question

The voltage across an air-filled parallel-plate capacitor is measured to be $$85.0 \,V$$. When a dielectric is inserted and completely fills the space between the plates as in Figure, the voltage drops to $$25.0 \,V$$.
(a) What is the dielectric constant of the inserted material?
(b) Can you identify the dielectric? If so, what is it?
(c) If the dielectric does not completely fill the space between the plates, what could you conclude about the voltage across the plates?

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Similar Questions
Q1
The voltage across an air-filled parallel-plate capacitor is measured to be $$85.0 \,V$$. When a dielectric is inserted and completely fills the space between the plates as in Figure, the voltage drops to $$25.0 \,V$$.
(a) What is the dielectric constant of the inserted material?
(b) Can you identify the dielectric? If so, what is it?
(c) If the dielectric does not completely fill the space between the plates, what could you conclude about the voltage across the plates?

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Q2
Reason
Due to insertion of dielectric slab in an isolated parallel-plate capacitor(the dielectric completely fills the space between the plates), the electrostatic potential energy of the capacitor decreases.
Assertion
A dielectric is inserted between the plates of an isolated fully charged capacitor. The dielectric completely fills the space between the plates. The magnitude of electrostatic force on either metal plate decreases, as it was before the insertion of dielectric medium.
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Q3
Two identical parallel plate capacitors are connected in series to a battery of 100 V. A dielectric slab of dielectric constant 4 is inserted between the plates of the second capacitor to fill the space between its plates, completely. The potential difference across the capacitors will now be, respectively.
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Q4
Two parallel plate capacitor is to be designed to have a capacitance of 50 PF and voltage rating of 1000 v .
What minimum area of the plates is required if the space between the plates is to be completely filled with a dielectric of dielectric constant 4 and electric strength 10 raise to the power 6 v/m
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Q5
A parallel plate air capacitor with no dielectric between the plates is connected to the constant voltage source. What will be the new capacitance and charge on the capacitor if a dielectric with dielectric constant K=5 is inserted between the plates? Intially capacitance and charge on the capacitor are 50 μF and 200 μC respectively before the introduction of the dielectric.
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