The expression for the capacity of the capacitor formed by compound dielectric placed…

Physics · JEE Advanced · NTA ExamsElectrostatics

The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in figure, will be (area of plate = A)
  1. \[\frac{\varepsilon_{0} \mathrm{~A}}{\left(\frac{\mathrm{~d}_{1}}{\mathrm{~K}_{1}}+\frac{\mathrm{d}_{2}}{\mathrm{~K}_{2}}+\frac{\mathrm{d}_{3}}{\mathrm{~K}_{3}}\right)}\]
  2. \[\frac{\varepsilon_{0} \mathrm{~A}}{\left(\frac{\mathrm{~d}_{1}+\mathrm{d}_{2}+\mathrm{d}_{3}}{\mathrm{~K}_{1}+\mathrm{K}_{2}+\mathrm{K}_{3}}\right)}\]
  3. \(\frac{\varepsilon_{0} \mathrm{~A}\left(\mathrm{~K}_{1} \mathrm{~K}_{2} \mathrm{~K}_{3}\right)}{\mathrm{d}_{1} \mathrm{~d}_{2} \mathrm{~d}_{3}}\)
  4. \(\varepsilon_{0}\left(\frac{\mathrm{AK}_{1}}{\mathrm{~d}_{1}}+\frac{\mathrm{AK}_{2}}{\mathrm{~d}_{2}}+\frac{\mathrm{AK}_{3}}{\mathrm{~d}_{3}}\right)\)

Answer

(A) _ 0 ~A ( ~d _ 1 ~K _ 1 + d _ 2 ~K _ 2 + d _ 3 ~K _ 3 )

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