Q. 594.0( 5 Votes )

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.

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.


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