An electric field exists in the space, where A = 10 Vm^–2. Take the potential at (10m, 20m) to be zero. Find the potential at the origin.

Question

An electric field exists in the space, where A = 10 Vm –2 . Take the potential at (10m, 20m) to be zero. Find the potential at the origin.

Philoid · Accepted Answer

Given:
Electric Field :
A = 10 Vm^-2
V(10m,20m) = 0
Formula used:
Change in potential is:
Where dV is change in potential, E is the electric field and dx is the change in displacement.
In vector form:

Integrating we get:

Here limits 10 to 0 is taken as 10 m is the x co-ordinate and origin has (0,0)
Hence. potential of 500 V exists at the origin.

An electric field exists in the space, where A = 10 Vm–2. Take the potential at (10m, 20m) to be zero. Find the potential at the origin.

An electric field exists in the space, where A = 10 Vm^–2. Take the potential at (10m, 20m) to be zero. Find the potential at the origin.