A wire has a length of 2.0 m and a resistance of 5.0 Ω. Find the electric field existing inside the wire if it carries a current of 10 A.

25Vm-1


Given,


Length, l of the wire= 2m


Resistance, R of the wire=5 Ω


Current I, passing through the wire= 10A


Formula used,


From electrostatics, we know that Electric field, E is



Or it can be written as



Where l is the distance over which potential difference V has an effect


Solution,


We know that the potential difference, V in the wire with current I passing and with a resistance R is



By substituting the given values in the above expression, we get V as



Substituting this value of potential difference in eqn.1, we can find the electric field,


So,



Or



Hence the electric field existing inside the wire is 25Vm-1


1