A parallel plate capacitor is made of two circular plates separated by a distance 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is the charge density of the positive plate will be close to:

Question

A parallel plate capacitor is made of two circular plates separated by a distance 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is $3 \times 10^{4} V/m,$ the charge density of the positive plate will be close to: [2014]

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(1)

Electric field in the presence of a dielectric between the two plates of a parallel plate capacitor is given by, $E = \frac{σ}{K ε_{0}}$

Then, charge density $σ = K ε_{0} E$

$= 2.2 \times 8.85 \times 10^{- 12} \times 3 \times 10^{4}$ $\approx 6 \times 10^{- 7} {C/m}^{2}$

Solution

Q.
A parallel plate capacitor is made of two circular plates separated by a distance 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is $3 \times 10^{4} V/m,$ the charge density of the positive plate will be close to: [2014]

1 $6 \times 10^{- 7} {C/m}^{2}$

2 $3 \times 10^{- 7} {C/m}^{2}$

3 $3 \times 10^{4} {C/m}^{2}$

4 $6 \times 10^{4} {C/m}^{2}$

Ans.
(1)

Electric field in the presence of a dielectric between the two plates of a parallel plate capacitor is given by, $E = \frac{σ}{K ε_{0}}$

Then, charge density $σ = K ε_{0} E$

$= 2.2 \times 8.85 \times 10^{- 12} \times 3 \times 10^{4}$ $\approx 6 \times 10^{- 7} {C/m}^{2}$

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Solution

Q. A parallel plate capacitor is made of two circular plates separated by a distance 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3×104 V/m, the charge density of the positive plate will be close to: [2014]

1 6×10-7 C/m2

2 3×10-7 C/m2

3 3×104 C/m2

4 6×104 C/m2

Ans. (1) Electric field in the presence of a dielectric between the two plates of a parallel plate capacitor is given by, E=σKε0 Then, charge density σ=Kε0E =2.2×8.85×10-12×3×104≈6×10-7 C/m2