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- Capacitance
NEET · Physics · Capacitance
The space between the plates of a parallel plate capacitor is...
The space between the plates of a parallel plate capacitor is completely filled with two dielectric slabs of equal thickness . The first slab has a dielectric constant and the second slab has a dielectric constant . If the original capacitance with air between the plates was , what is the ratio of the new equivalent capacitance to the original capacitance?
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
The original capacitance with air is .
The two dielectric slabs can be considered as two capacitors connected in series, each with thickness .
Capacitance of the first part:
Capacitance of the second part:
The equivalent capacitance for the series combination is given by:
The ratio of the new capacitance to the original capacitance is .
Answer:
The two dielectric slabs can be considered as two capacitors connected in series, each with thickness .
Capacitance of the first part:
Capacitance of the second part:
The equivalent capacitance for the series combination is given by:
The ratio of the new capacitance to the original capacitance is .
Answer: