Case : Read the passage and answer the question(s).

In a parallel plate air capacitor having plate separation 0.05mm, an electric field of 4X10⁴ V/m is established between the plates. After the removal of the battery a metal plate of thickness t = 0.02 mm is inserted between the plates of the capacitor. 

What is the potential difference across capacitor if dielectric slab with dielectric constant K=3 and same thickness were inserted in place of metal plate?

1466 V

C' = \(\frac{\epsilon_{o} A}{d - t(1-1/k)}\) 

k = 3 ; d = 0.05 mm ; t = 0.02 mm 

C' =  \(\frac{\epsilon_{o} A}{0.05)}\) \(\frac{15}{11}\)

Q is constant ∴ C' V' = C V 

V = E x d 

E = 4X10⁴ V/m ; d = 0.05mm

V = 2000 V

V' = 1467.67 V