Space between the plates of a parallel plate capacitor of plate area 4 ~cm ^2 and separation of (d) 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitanc

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Space between the plates of a parallel plate capacitor of plate area 4 ~cm ^2 and separation of (d) 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5 pF is connected in parallel with it. The effective capacitance of this combination is ________ pF. ( . Given . ₀=8.85 10⁻¹² ~F / m )

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aligned & C ₁= 5 4 10⁻⁴ 8.85 10⁻¹² 1.77 2 10⁻³ =20 pF & C ₂= 3 4 10⁻⁴ 8.85 10⁻¹² 1.77 2 10⁻³ =12 pF & C _ eq = C ₁ C ₂ C ₁+ C ₂ = 12 20 12+20 =7.5 pF aligned Finally equivalent capacitance ( C _ eq )_ final =7.5+7.5=15 pF

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