00:01
In the question we are given this lc circuit, the values of l, c and q are given as l is equals to 3 .3 henry.
00:16
C is equals to 834 picofarad that is equals to 834 into 10 to the power minus 12 ferret.
00:26
Then charge q is given to be 127 microculems that is 127 into 10 to the power minus 6 coolums and time t is given to be 3 milliseconds that is equals to 3 into 10 to the power minus 3 seconds energy stored in the capacitor is given by half q square c now, omega is equals to 1 upon square root of lc.
01:07
So let us first find out omega.
01:10
Substituting the values we get 1 upon square root of 3 .3 into 834 into 10 to the power minus 12.
01:21
So on simplification we get 10 to the power 6 upon 52 .46.
01:30
Equals to 0 .019 into 10 to the power 6 radiance per second.
01:38
Now charge in lc circuit is given by q equals to q max cause omega t.
01:49
In the question we are given q max that is 127 microculems.
01:55
So on substituting the values we get 127 into 10 to the power minus 6 cause of 0 .019 into 10 to the power 6 into 3 into 10 to the power minus 3.
02:11
So this is equals to 127 into 10 to the power minus 6 cause of 57 degree.
02:20
That is equals to 127 into 0 .54 into 10 to the power minus 6 that is equals to 68 .4 .4 into 10 to the power minus 6.
02:31
58 microculems so this is the charge q now let us substitute the value of q and see in equation 1 so we get ec is equals to half of 68 .58 into 10 to the power 6 the whole square upon 834 into 10 to the power minus 12 so on simplification we get ec is 2 .82 joules.
03:07
Thus, the energy stored in the capacitor is 2 .82 joules...