Final answer:
To calculate the current flowing through the copper wire, we can use Ohm's Law and the equation for resistance. The resistivity of the copper wire, its length, and cross-sectional area are given. By plugging in these values, we can calculate the current flowing through the wire.
Step-by-step explanation:
To calculate the current flowing through the copper wire, we can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). First, we need to calculate the resistance. We can use the formula R = (ρ * L) / A, where ρ is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.
In this case, the resistivity of copper is given as 1.68 x 10^-8 ohm*m, the length of the wire is 61.0 m, and the diameter of the wire is 6.1 mm. We can convert the diameter to meters by dividing it by 1000. From the diameter, we can calculate the cross-sectional area using the formula A = π * (d/2)^2.
Once we have the resistance, we can use the given voltage of 34.0 V to calculate the current by rearranging Ohm's Law and solving for I. Plugging in the values, we get: I = V / R.