00:01
Hello students, to solve this question first let's find the magnitude of electric field at the origin due to charge q1.
00:12
So this will be equal to e1 is equal to k q1 upon r1 square.
00:21
Now we know the value of constant term is 9 into 10 to the power 9 newton meter square per coulomb square.
00:30
So now substituting the values here we get 9 into 10 to the power 9 into 3 into 10 to the power minus 6.
00:39
So we multiply minus 10 to the power minus 6 to change micro coulomb to coulomb upon r square distance is given as 5 centimeters.
00:51
So this will be 5 into 10 to the power 2 square.
00:55
After solving this we get the electric field at origin due to charge q1 will be 108 00 000 newton per coulomb.
01:09
Now since q1 is negative the direction of the field is towards q1 or negative y direction.
01:24
This is for charge q1.
01:26
Now the magnitude of electric field at origin due to charge q2.
01:32
So this will be equal to using the same formula e1 is that means this will be e2 k q2 upon r2 square.
01:43
Now substituting the values here 9 into 10 to the power 9 into 3 into 10 to the power minus 6 upon 5 into 10 to the power 2 whole square.
01:58
After solving this we get value is 108 00 000 newton per coulomb.
02:09
Now since q2 is positive the direction of this field is away from q2 or we can say this will be negative y direction.
02:23
Now next the magnitude of the total electric field at the origin due to charge q1 and q2.
02:32
So we have e12 will be equal to e1 plus e2.
02:39
Now we can substitute the values...