The capacitance of a parallel plate condenser is C1(fig. a). A dielectric of dielectric constant ‘K’ is inserted as shown in figure ‘b’ and ‘c’. If C2 and C3 are the capacitances in figures ‘b’ and ‘c’ then :
Both C2 and C3>C1
C3>C1 and C2>C1
Both C2 and C3< C1
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Correct option is A)
We know that capacitance is given by
C1=d.ε0A b) In C2dkε0A2anddεoA2 are in series ⇒C21=kεA2d+2ε0Ad=2ε0Ad(k1+1) ⇒C2=dε0A(1+k2k) we know k>1 ∴1+k2k>1. ∴C2>C1.
c) in C32dkε0AanddkεoA are in parallel ∴C3=dε0A(2k+1) ∴C3>C1.
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