Physics · Capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor
The capacity of a parallel plate condenser is without the dielectric. Material w
The capacity of a parallel plate condenser is \( 10 \mu F \) without the dielectric. Material with a dielectric constant of 2 is used to fill half- thickness between the plates. The new capacitance is \( \mu F \)
- A. 10
- B. 20
- C. 15
- D. 13.33
Step-by-step solution
Original capacitance C0 = ε0A/d = 10 μF. With half thickness filled with dielectric (K=2) and half air, the arrangement is equivalent to two capacitors in series: C1 = Kε0A/(d/2) = 2K C0 = 40 μF, C2 = ε0A/(d/2) = 2C0 = 20 μF. Total capacitance C = (C1 C2)/(C1+C2) = (40*20)/(60) = 800/60 = 13.33 μF.
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