QJEEM14Ph0f72: JEE Main 2014 Physics - Class 12 JEEM14Ph0f72 Solution: A parallel plate capacitor is made of two circular plates…

Question

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A parallel plate capacitor is made of two circular plates separated by a distance

5

m m

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:

Accepted Answer

Electric field in presence of 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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