A uniform electric field has magnitude 240 nc and is...

A uniform electric field has magnitude 240 N/C and is directed to the right. A particle with charge -6.2 nC moves in this filed along the path shown from b to a. Find: a) the electric force that acts on the particle (magnitude and direction); b) the potential difference through which the particle moves; c) the change in the particle's potential energy; d) the work done on the particle by the electric field.

Transcript

00:01 Hello, in the question we have given that a uniform electric field of 240 newton per coulomb is directed to right.

00:09 So, the electric field is given that is 240 newton per coulomb and it is towards the right.

00:18 So, i will be writing it as x cap.

00:20 So, i will be considering it as moving in the x direction.

00:25 So, a particle with charge, so this charge is given that is minus 6 .2 nano coulomb moves in this field along the path from b to a.

00:51 So, in the first part we have to find out the electric force.

00:57 So, we need to find out this force.

00:59 So, this force will be equal to q times e.

01:07 So, this force will be q is minus 6 .2 into 10 raised to minus 9 into this electric field which is 240.

01:22 So, this is in coulombs and this is in newton per coulomb.

01:28 So, this coulomb coulomb will go away and this is in the x cap direction.

01:33 So, from here this force will turn out to be how much? 1488 into 10 raised to minus 9 newton's but in the minus x cap direction.

01:48 See this minus sign absorbed in the direction.

01:52 So, it is going in the negative.

01:59 So, this is the force.

02:03 Now what we have to do is in the second part we have to find out the potential difference.

02:10 So, we need to find out the potential difference.

02:18 So, in order to find out the potential difference, so it will be vb minus va small a because we are moving this particle from a to b, b to a whatever.

02:33 So, this is equal to minus of e times the distance.

02:41 Now in this question, the distance between b to a is not given nor the figure is given.

02:48 So, it is unpredictable what is this distance might be.

02:52 So, i will just give this recipe what to do and from there we can find out this result.

02:58 So, it is minus e is how much? 240 into d.

03:05 So, whatever this length is from b to a...