A potential difference V, is applied, with a battery, to the plates of a parallel-plate capacitor of plate-area A and separation d. Write an expression for each of the following: (a) the capacitance C, of the capacitor, (b) the free charge qo, (c) the electric field strength Eg in the gap. Now the battery is disconnected and a dielectric slab of thickness b and dielectric constant k is inserted in the gap. (d) What happens to the free charge? (e) What happens to the field strength in the gap? () What is the field strength in the dielectric slab? (g) Find an expression for the potential difference between the two plates. (h) Find an expression for the capacitance C now. () Assume that C becomes double of C, when a slab of dielectric constant 10 is inserted. What is the thickness b?

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4. A potential difference V, is applied, with a battery, to the plates of a parallel-plate
capacitor of plate-area A and separation d. Write an expression for each of the
following
(a) the capacitance C, of the capacitor,
(b) the free charge qo,
(c) the electric field strength E, in the gap.
Now the battery is disconnected and a dieleetric slab of thickness b and dielectric
constant k is inserted in the gap.
(d) What happens to the free charge?
(c) What happens to the field strength in the gap?
() What is the field strength in the dielectric slab?
(g) Find an expression for the potential difference between the two plates.
(h) Find an expression for the capacitance C now.
(i) Assume that C becomes double of C, when a slab of dielectric constant 10 is
nserted. What is the thickness b?
Ai
Transcribed Image Text:2 / 2 150% 4. A potential difference V, is applied, with a battery, to the plates of a parallel-plate capacitor of plate-area A and separation d. Write an expression for each of the following (a) the capacitance C, of the capacitor, (b) the free charge qo, (c) the electric field strength E, in the gap. Now the battery is disconnected and a dieleetric slab of thickness b and dielectric constant k is inserted in the gap. (d) What happens to the free charge? (c) What happens to the field strength in the gap? () What is the field strength in the dielectric slab? (g) Find an expression for the potential difference between the two plates. (h) Find an expression for the capacitance C now. (i) Assume that C becomes double of C, when a slab of dielectric constant 10 is nserted. What is the thickness b? Ai
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