Two parallel conducting plates, each having a surface area of 2 × 10-2 m2 on its sides, form a…

Two parallel
conducting plates, each having a surface area of 2 × 10_2 m2 on its
sides, form a parallel-plate capacitor. Their separation is 1.25 mm and the
medium between them is free space. A 100-V d.c. battery is connected across
them, and it is maintained there at all times. Then a dielectric sheet, 1 mm
thick and with the same shape and area as the plates, is slipped carefully
between the plates so that one of its sides touches one of the conducting
plates. After the insertion of the slab and neglecting fringing, if the
dielectric constant of the dielectric sheet is _r = 5, determine
»

Two parallel
conducting plates, each having a surface area of 2 × 10_2 m2 on its
sides, form a parallel-plate capacitor. Their separation is 1.25 mm and the
medium between them is free space. A 100-V d.c. battery is connected across
them, and it is maintained there at all times. Then a dielectric sheet, 1 mm
thick and with the same shape and area as the plates, is slipped carefully
between the plates so that one of its sides touches one of the conducting
plates. After the insertion of the slab and neglecting fringing, if the
dielectric constant of the dielectric sheet is _r = 5, determine the:

(a) Electric
field intensity between the plates (inside and outside the slab).

(b) Electric
flux density between the plates (inside and outside the slab).

(c) Surface
charge density in each of the plates.

(d) Total
charge in each of the plates.

(e)
Capacitance across the slab, the free space, and both of them.

(f) Energy
stored in the slab, the free space, and both of them.

»

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