00:01
Hello students in the question we are given two charges we have total charge q1 plus q2 equal to 19 microculamp this is equal to 19 into 10 to the power minus 6 coulamp we are also given magnitude of force equal to 0 .07 newton we have formula for electric force it is equal to k which is a 10 q1, q2, that our product of two charges are square.
00:38
R is distance between the two charges.
00:42
Here in our case we have force equal to 0 .07 newton.
00:48
This is equal to k.
00:50
K has value 9 into 10 to the power 9 newton meter square per k we have charges q1, q2, divided by distance between them is 2 .5 to 2 .5 whole square meter square.
01:12
So here we can write q1, q2 it is equal to 0 .07 into 2 .5 square divided by 9 into 10 to the power 9 full arm square.
01:28
So we have q1, q2 equal to 0 .5 squared.
01:33
0 .0486 into 10 to the power minus 9 kulam square we can write this is equal to 48 .6 into 10 to the power minus 12 coularm square we can write this is equal to 48 .6 into 10 to the power minus 6 whole square kulam square this is equal to 48 .6 micro kulam square we have sum of charges q1 plus q2 equal to 19 microculam.
02:13
So we can write q2 in terms of q1 it is equal to 19 minus q1 in units of microculam.
02:23
So we can substitute it here q1 into 19 minus q1 is equal to 48 .6.
02:33
That is equal to 19 q1 minus q1 square is equal to 48 .6 we can rearrange this to write q1 square minus 19 q1 plus 48 .6 it is equal to 0.
02:52
This is a quadratic equation.
02:55
It is of the form a x square plus bx plus c it is equal to 0.
03:02
Here in our case, in case, a it is equal to 1, we have b equal to minus 19 and c is equal to 48 .6.
03:11
They are coefficients...