A voltmeter reads ( 4 ~V ) when connected to a parallel plate capacitor with air as a dielectric. When a dielectric slab is introduced between plates for the same configuration, voltmeter reads ( 2 ~V ). What is the dielectric constant of t

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A voltmeter reads ( 4 ~V ) when connected to a parallel plate capacitor with air as a dielectric. When a dielectric slab is introduced between plates for the same configuration, voltmeter reads ( 2 ~V ). What is the dielectric constant of the material ?

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Correct answer: B. ( 12 )

We know that ( Q=C V ) [ array l V= Q C V 1 C array ] Also ( C_ dielectric =K C₀ ) Therefore, ( V_ dielectric 1 C_ dielectric ) and ( V₀ 1 C₀ ) and ( V_ dicloctic V₀ = C₀ C_ dielectric V_ diclectric V₀ = C₀ K C₀ V_ dielectric V₀ = 1 K ) Given ( V_ diclectric =2 V ; V₀=4 V ) ( 2 4 = 1 K K=2 ) Therefore, dielectric constant of the material is ( 2 ).

A voltmeter reads ( 4 ~V ) when connected to a parallel plate capacitor with air as a dielectric. When a dielectric slab is introduced between plates for the same configuration, voltmeter reads ( 2 ~V ). What is the dielectric constant of the material ?

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