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Calculate the capacitance of the following multi slab capacitor.
Asked by hitanshu04 | 21 May, 2021, 07:05: PM
Let σ be the surface charge density on capacitor plates .
If a dielctric slab of dielectric constant K and thickness d is inside capacitor plates ,
Then electric field E in the dielectric slab is  given as

.............................. (1)

Potential difference across dielectric slab, V  = E × d =  ........................(2)

Potential difference across capacitor plates having three different dielectric slabs is given as

..........................(3)

If Q is the total charge on capacitor plates and A is area of plates , then surface charge density σ = (  Q / A  )

By substituting surface charge density in eqn.(3) , we get

............................. (4)
Using the definition of capacitance C = ( Q / V ) , we get capacitance of multislab dielectric capacitor as

Answered by Thiyagarajan K | 21 May, 2021, 08:55: PM

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