Question

Three plates a,b,c each of area 50cm2 have a separation 3 mm between a and b and 3mm between b and c. The energy stored when the plates are fully charged is

Answer 1

the energy stored will be
=
1/2CV*2 in the parallel plate capacitor

Answer 2

Answer:

The correct answer to this question is $2.12$ × $10^{-9} J$

Explanation:

Given - Three plates a,b, and c each of area 50cm2 has a separation of 3 mm between a and b and 3mm between b and c.

To Find - Write the energy stored when the plates are fully charged.

The potential difference between A and B is  $12V.$

The potential difference between B and C is also $12V.$

Now, according to the question,

$C =$ ϵ​$_{0}$A/d

= 8.85 × $10^{-12}$ × ( 50 × $10^{-4}$) / 3 × $10^{-3}$

=  1.475 × $10^{-11}$

$U_{AB} = U_{BC}$  $= \frac{CV^{2}}{2}$

= 1.475 × $10^{-11}$ × $12^{2}$ / $2$

= $1.06$ × $10^{-9}$

The total energy stored IS,

$2$ × $1.06$ × $10^{-9}$

= $2.12$ × $10^{-9} J$

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