When 115 V is applied across a wire that is 10 m long, the magnitude of the current density is 1.4*10^4 A/m2. Find the resistivity of the wire.

R=V/I; R=pL/A => V/I=pL/A => A(x)V/I(x)L=p
:(π(5^2))(115)/(1.4*10^4)(10)
Is this right? Do I just plug and chug now?

Yes, you are on the right track. To find the resistivity of the wire, you can use the formula R = ρL/A, where R is the resistance, ρ is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.

From the information given, you have V = 115 V, I = 1.4*10^4 A/m^2, and L = 10 m.

Now, you need to calculate the cross-sectional area A of the wire. Since the wire is not specified, we can assume it has a circular cross-section. The area of a circle is given by A = π * r^2, where r is the radius of the wire.

You mentioned that the wire is 10 m long, but the length does not give us any information about the radius or the area. If you have information about the radius, you can use it to calculate the cross-sectional area A.

If you do not have information about the radius, you will need more data to find the resistivity of the wire.

Yes, you are on the right track! To find the resistivity of the wire, you can use the formula R = ρL/A.

To begin, let's plug in the given values into the formula. The voltage (V) is 115 V, the current density (J) is 1.4x10^4 A/m^2, and the length (L) is 10 m.

The next step is to find the cross-sectional area (A) of the wire. From the given information, we know that the wire is 10 m long, but we don't have the specific shape or dimensions of the wire. The formula for the cross-sectional area of a wire is A = πr^2, where r is the radius of the wire.

Since we don't have the radius, we need additional information to calculate the cross-sectional area correctly. Once we have the cross-sectional area, we can proceed to solve for the resistivity (ρ) using the formula R = ρL/A.

Therefore, at the moment, we don't have enough information to find the resistivity of the wire.