A parallel plate capacitor with air as medium between the plates has a capacitance of `10 muF`. The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant `k_(1) = 2` and `k_(2) = 4`. the capacitance of the system will now be

Options

A. `10muF`
B. `20muF`
C. `30muF`
D. `40muF`

Answer

C

Explanation

Air -`C_0 =10 muF`
`C_(eq)=C_1+C_2=((A/2)epsilon_0k_1)/(d)+((A/2)epsilon_0k_2)/d`
`=(Aepsilon_0)/d[k_1/2+k_2/2]= 10 [2/2+4/2]`
`= 30 muF`