The drawing shows a square each side of which has a length...

The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -4.00 x 10-9 C placed at corner A and then at corner B.

Transcript

00:01 Hello, the question is taken from physics and the question is that drawing shows a square.

00:06 Each side of has a length 0 .25 meter.

00:09 Two different positive charges q1 and q2 are fixed at the corners of a square.

00:16 So find the electric potential energy of a third charge q3 placed at a corner a and then at a corner b.

00:25 So in order to the electric potential energy will be.

00:30 So let me first write first draw it so this corresponding to point a and point b and the value of first charge q1 is 1 .5 into 10 to the power minus 9 column and second charge is 4 10 to the power minus 9 column and third charge is first place that we need to evaluate the potential energy at a and b so q3 first at a and b so q3 first at a so that is minus 5 into 10 to the power minus 9 fulam so potential energy at a is equal to this is q1 and q2 and this is q3 so potential energy at 3 due to 1 plus potential energy at sorry basically 3 due to 2 so let us evaluate you a and length is already given to us which is 0 .25 meter so this diagonal element having value 0 .25 square plus 0 .25 square taking the square root of it so that is 0 .354 okay so that is 0 .354 meter.

01:48 So you at a is equal to q1 q3 divided by 4 pi epsilon 0 into r13 plus q2 q3 by 4 pi epsilon note into r23 plus q2 q2 3 by 4 pi epsilon note into r 2 3.

02:04 So this will be 9 into 10 to the power 9 and taking q3 outside q3 is 5 into 10 to the power minus 9.

02:15 So q1 is here 1 .5 into 10 to the power minus 9 but with a negative sign both are positive.

02:26 Yes...

Question

The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -4.00 x 10-9 C placed at corner A and then at corner B.

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