CBSE Class 12-science Answered
Calculate the capacitance of the following multi slab capacitor.
Asked by hitanshu04 | 21 May, 2021, 07:05: PM
Expert Answer
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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