1Read the question srinath sir,u will get to know we don know potential diffrence across plates
C=q/V
where V is potential diffrence across plates
i have concluded that this pbm cant be solved .if u have solved the pbm please give ur soln.i have seen the soln for this pbm in two buks which was wrong one
A parallel capacitor has the space between the plates filled with a medium whose dielectric constant increases linearly with distance.If d is the distance between the plates and K1 and K2 are the dielectric constant of the medium at the two plates (spuare each of are A ) respectively, the capacity of the capacitor
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40 Answers
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3hey akshay have u practised tamil
however akshay i didnt know the answer. can u post ur soln.my book has given wrong soln
1I don know how to draw the diagrams here
The dilectric varies as K=K1+(K2-K1)x/d
refer to figure given by srinath sir
now small potential drop,
dV=qdx/Aε(K1 +(K2-K1)x/d
integrating we get potential diffrence between plates
use q=CV then
to get the capacitence
1Machan just remember one thing one dielectric varies like it is varying here then always find net potential diffrence between plates by integrating and then find capacitance
but if it varies along perpendicular direction then use C=∫dC
Hope u got it machan
1Akshay SIR !!!!(call me srinath , that should be fine)
I didn't get you . isn't the pd across the plates given by the cell terminal pd ?
1@ srinath
why r u calling me sir
We don know the cell terminal PD Sir,if we knew we could have directly found out the answer
1@ Sankara
The electric field=q/AεK
where K=K1+(K2-K1)x/d
now dV=Edx
Hope u would be knowing this
3txxxxxxxxxxxxxxxxxxxxxxxxxxx Akshay u r rite i am cleared
sory for making u to wait more than 2min
3i know the meaning only rang it means colour i think so
wat abt other words Pamnani
1My Name is Akshay,call me Akshay
mohe rang de means give me colour(hear I mean pink)
lol
11Machan, what do u mean by dielectric constant of the medium at the two plates ?
21we take a thin strip of capacitor dc of length dx and dielectric constant k1 +x . now since the capacitors are in series so integrate for 1/dc from 0 to d and since at d distance dielectric is k2 so put its value accordingly after integration.
3ani value of the dielectric constant at the end of the plates is K1 and K2
11That's what. What does it mean?
A thin layer of dielectric above the metal plate like this?
11Then why can't we ignore this veryveryveryveryveryveryveryveryveryvery thin layer?
1no da. It is some thing like this.
I've assumed that the p.d across capacitor is V . then considering elemental capacitors . dx . at a distance X from the left side.we get many capacitors in parallel.
just integrating that will do .
I hink we get C as C= ε0A[KL + αL2/2} / d
