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$C_0$ is the capacitance of a parallel plate capacitor with air as dielectric $($ as in figure $(a))$. If, half of the entire gap as shown in figure $(b)$ is filled with a dielectric of permittivity $\epsilon _r$ , the expression for the modified capacitance is

  1. $\dfrac{C_0}{2}(1+\epsilon _r) \\$
  2. $(C_0+\epsilon _r) \\$
  3. $\dfrac{C_0}{2}\epsilon _r \\$
  4. $C_0(1+\epsilon _r)$
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