Electrostatics 5 Question 19

21. A parallel plate capacitor having plates of area S and plate separation d, has capacitance C1 in air. When two dielectrics of different relative permittivities (ε1=2 and ε2=4) are introduced between the two plates as shown in the figure, the capacitance becomes C2. The ratio C2C1 is

(a) 65

(b) 53

(c) 75

(d) 73

(2015 Adv.)

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Answer:

Correct Answer: 21. (d)

Solution:

C1=ε0sd,C=2ε0s2d2=2ε0sdC=4ε0s2d2=4ε0sd

 and C=2ε0s2d=ε0sdC2=CCC+C+C=43ε0sd+ε0sd=73ε0sdC2C1=73



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