00:01
Hello, in the question we have given that an uniform electric field e is equal to 3100 v per meter exists within a certain region.
00:16
So, what volume of space contains energy? so, ue is equal to 1 .15 into 10 raised to minus 7 joules is given.
00:30
So, we have to answer, we have to find out the volume in meter cube as well as liter.
00:36
So, we know that the energy density is given by, so energy density is given by u of e divided by volume is equal to half epsilon naught e square.
00:56
So, we need to find out volume.
00:58
So, from here volume will be equal to 2 times of ue divided by epsilon naught e square.
01:06
So, now we just plug the values and we will get the answer.
01:09
So, volume will be 2 times of ue that is 1 .15 into 10 raised to minus 7 divided by this epsilon naught is 8 .85 into 10 raised to minus 12 times this is 3100 square and if we calculate this neatly, so this volume we will get it as 2 .7 into 10 raised to minus 3 meter cubed.
01:40
Now, this 3100 turns out to be something 9614 times 0.
01:45
So, that can be compensated with this 10 raised to minus 2, 12 which makes 10 raised to 8.
01:51
So, that can take a nap.
01:53
So, if we calculate, then we will get this answer...