JEE Main 2022 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2022

A parallel plate capacitor with width 4 cm, length 8 cm and separation between the plates of 4 mm is connected to a battery of 20 V. A dielectric slab of dielectric constant 5 having length 1 cm, width 4 cm and thickness 4 mm is inserted between the plates of parallel plate capacitor. The electrostatic energy of this system will be J. (Where is the permittivity of free space)

Answer: 240

Solution

The capacitor is equivalent to two capacitors in parallel: the part with the dielectric (area ) and the part with air (area with ). So

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Question ID VK-034291