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# I need help with - A parallel plate capacitor with plates of area 1m2each, are at a separation of 0.1 m. If the electr - Electrostatics - JEE Main

A parallel plate capacitor with plates of area 1m2 each, are at a separation of 0.1 m. If the electric field between the plates is 100 N/C , the magnitude of charge on each plate is :

(Take $\epsilon _{0} = 8.85 \times 10^{-12} \frac{C^{2}}{N-m^{2}}$ )

• Option 1)

9.85 X 10-10 C

• Option 2)

8.85 X 10-10 C

• Option 3)

7.85 X 10-10 C

• Option 4)

6.85 X 10-10 C

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Infinite Plane Parallel sheets of charge -

If

$\dpi{100} \sigma _{A}=\sigma _{B}=\sigma \rightarrow \left | E_{p} \right |=\left | E_{R} \right |=\frac{\sigma }{\epsilon _{0}}$

and  EQ = 0

-

A = 1m2

d= 0.1m

E = 100 N/C

$\varepsilon _{0}= 8.85\times 10^{-12}\left ( \frac{C^{2}}{Nm^{2}} \right )$

$E = \frac{\sigma }{\varepsilon _{0}} = \frac{Q}{A\varepsilon _{0}}$

$Q = AE\varepsilon _{0}= 1\times 100\times \left ( 8.85\times 10^{-12} \right )=8.85\times 10^{-10}C$

Option 1)

9.85 X 10-10 C

Option 2)

8.85 X 10-10 C

Option 3)

7.85 X 10-10 C

Option 4)

6.85 X 10-10 C

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