Question

A uniform electric field of magnitude 255 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point @ are (-0.450, -0.800) m, and those of point ® are (0.850, 0.450) m. Calculate the electric potential difference VB-VA using the dashed-line path.

Answer 1

Given, Electric field ( ) =

Coordinates of point A = ( -0.450, -0.800 ) m

Coordinates of point B = ( 0.850, 0.450 ) m

We have the origin O = ( 0,0 ) m

As the path from A to B has a point of 900. Let that point be C.

Coordinates of point C = ( -0.450, 0.450 ) m

Now, Vector from O to A = =    

Vector from O to B = =

Vector from O to C = =

Now, we can calculate and .

Vector from A to C = = =

= =

Vector from A to C = = =

= =

Now, Electric Potential difference :

We know that

  

Using the above formula between A and C

  

  

  

  

  

Now, Electric Potential difference :

Using the above formula between C and B

  

  

  

  

  

Now, Electric Potential difference :

  

From above calculated values, we get: