Q. 135.0( 3 Votes )

# 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.

Answer :

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}

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