Find the current in a conductor with resistance 2 ohm, electric field 2 units and distance 100cm

To find the current in the conductor, we need to understand the relationship between the given quantities. The electric field (E) in a conductor where an electric potential (V) is applied across a distance (d) can be expressed as (E = V / d). However, the electric field is given as 2 units (assuming SI units, this would be volts per meter), and the distance is 100 cm (which is 1 meter). From this, we can directly find the potential difference (V) across the conductor since (V = E times d).

Given:

– Electric field (E) = 2 V/m

– Distance (d) = 100 cm = 1 m

First, let’s find the potential difference (V):

[ V = E times d = 2 , text{V/m} times 1 , text{m} = 2 , text{V} ]

Now, Ohm’s law states that (V = IR), where (V) is the voltage across the conductor, (I) is the current through the conductor, and (R) is the resistance of the conductor. Given the resistance (R) is 2 ohms, we rearrange Ohm’s law to solve for the current (I):

[ I = frac{V}{R} ]

Substituting the given values:

[ I = frac{2 ,