Three parallel plate capacitors 
and C 3 each of capacitance 
are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of C 1 capacitor is filled with a dielectric medium having dielectric constant of 4, is:
Text Solution
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Update Capacitance of C 1 :
The initial capacitance of C 1 is 
. Adding a dielectric with a dielectric constant of 4 increases C 1 to:
Identify Capacitances of C 2 and C 3 :
Both C 2 and C 3 remain at 
since no dielectric is added to them.
Calculate Effective Capacitance:
Capacitors C 1 and C 2 are in series, and this series combination is parallel to C 3 .
Series Combination of C 1 and C 2 :
The formula for capacitors in series is:
Parallel Combination with C 3 :
The formula for capacitors in parallel is:
Thus, the effective capacitance between points A and B is 
.
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