An aluminum wire has resistance of per meter and carries a current If the power dissipated is find the electric field within the wire
To find the electric field within the wire, we can use Ohm's Law and the formula for power dissipation.
Ohm's Law states that the voltage drop across a resistor is equal to the product of the current flowing through it and its resistance: V = I * R.
The power dissipated by the wire can be calculated using the formula: P = I^2 * R.
Given:
Resistance per meter of the aluminum wire = R
Current through the wire = I
Power dissipated by the wire = P
We need to find the electric field within the wire.
To find the electric field, we can use the relationship between electric field (E), voltage (V), and distance (d): E = V / d.
Since electrical voltage drop (V) across a distance (d) is equal to the electric field (E) multiplied by the distance (d): V = E * d, we can substitute this into Ohm's Law.
I * R = E * d
Now, the resistance per meter (R) is given, so we can write the equation for the electric field as:
E = I * (R / d)
We now have an expression for the electric field within the wire.
Note: The question does not provide the physical length of the wire, so we cannot directly compute the value of the electric field. We need the length of the wire (d) to calculate the electric field accurately.