Question

# An air filled parallel plate capacitor has a capacitance $$1 pF$$. The separation between the plates is doubled and wax is inserted between the plates, then the capacitance becomes $$2 pF$$. What is the dielectric constant of wax ?

A
8
B
2
C
4
D
16

Solution

## The correct option is C $$4$$ Capacitance of parallel plate capacitor with air ,$$C_a=\dfrac{\varepsilon _{0}A}{d} ....(1)$$ Capacitance of parallel plate capacitor with wax ,$$C_w=\dfrac{K\varepsilon _{0}A}{2d} .....(2)$$ $$(1)/(2),$$$$\dfrac{C_a}{C_w}=\dfrac{2}{K}$$ $$\dfrac{1}{2}=\dfrac{2}{K}$$ $$\therefore K=4$$ Physics

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