The drawing shows the electrical potential as a function
ofdistance along the x-axis. determine the magnitude of
theelectrical field in the (a) a to b, (b) b to c and (c)c to
d.

Explanation:

As figure is not given so considering the most relevant diagram for question attached below

We can define Electric field as rate of change of electric potential with respect to space (say x-axis here). It is related in formula as

a) For Region A to B:

As can be seen from figure, point charge moves from 0 to 0.2 along x-axis, the value of electric potential remains constant i.e 5 volts

b) For Region B to C:

As point charge moves from B to C (0.2 to 0.4) along x-axis, the value of electric potential decreases from 5 volts to 3 volts. Electric field induced is:

c) For Region C to D:

As point charge moves from C to D (0.4 to 0.8) along x-axis, the value of electric potential decreases from 3 volts to 1 volt. Electric field induced is:

For Information:

Unit of Electric field is V/m or N/C

be subject to a force andchange its motion

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement