Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are κ1=39,κ2=51,κ3=45. The plate area of the capacitor is A=33cm2 and plate seperation is 32mm. a) Identify series and parallel connections and find the equivalent capacitance of the capacitor. b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of the new material κ′.
Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are κ1=39,κ2=51,κ3=45. The plate area of the capacitor is A=33cm2 and plate seperation is 32mm.
a) Identify series and parallel connections and find the equivalent capacitance of the capacitor.
b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of the new material κ′.
PartII
c) We take the capacitor with only new material (κ′) and setup a series circuit with another resistor R=22kΩ and battery V=7.0volts. Calculate the maximum amount of charge the capacitor can store.
d) We close the switch at t1=0 and open it at t2=1.2τ. Here, τ is the time constant of the circuit. What's the potential across the capacitor after t2 time? Plot how potential changes as a function of time.
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