Question

A parallel plate condenser has a capacitance 50 $\mu$F in air and 110 $\mu$F when immersed in an oil. The dielectric constant K of the oil is

• A. 0.45
• B. 0.55
• C. 1.10
• D. 2.20

Answer 1

Answer: (D)

D

Answer 2

The capacitance of a parallel plate capacitor increases by a factor equal to the dielectric constant $K$ when a dielectric material is introduced between its plates. The relationship is $C_{dielectric} = K \cdot C_{air}$. Given $C_{air} = 50 \, \mu F$ and $C_{oil} = 110 \, \mu F$, the dielectric constant $K = C_{oil} / C_{air} = 110 / 50 = 2.20$.