Two parallel plates, 8.15 cm on a side, are separated by 4.72 mm . Determine the
ID: 1337891 • Letter: T
Question
Two parallel plates, 8.15 cm on a side, are separated by 4.72 mm .
Determine their capacitance if the volume from one edge to the middle is filled with a material of dielectric constant 2.55 and the rest is filled with a different material of dielectric constant 4.10. [Hint: Do you see two capacitors in parallel?]
If these plates are connected to a 12-V battery, what is the electric field strength in the dielectric region with 1 = 2.55?
What is the electric field strength in the dielectric region with 2 = 4.10?
Explanation / Answer
givn length l = 8.15 cm = 0.0815 m
area = l^2
C1 = k1*eo*(A/2)/d
C1 = k1*eo*A/2d = (2.55*8.84*10^-12*0.0815^2)/(2*4.72*10^-3)
C1 = 1.58*10^-11 F
C2 = k2*eo*(A/2)/d
C2 = k2*eo*A/2d = (4.1*8.84*10^-12*0.0815^2)/(2*4.72*10^-3)
C2 = 2.55*10^-11 F
C1 & C2 are parallel
Ceq = C1 + C2
Ceq = 4.13*10^-11 F
++++++++++++++
potentail across the C1 & C2 are same
E1 = V/d = 12/(4.72*10^-3) = 2542.4 N/C
E2 = V/d = 12/(4.72*10^-3) = 2542.4 N/C
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