A straight copper wire that is 1 millimeter in diameter carries a current of 20 milliamps. What the magnitude of the largest magnetic field created by this wire in Tesla?

To find the magnitude of the largest magnetic field created by a straight copper wire carrying a current, we can use the formula for the magnetic field due to a straight wire:

B = μ₀ * I / (2π * r)

where B is the magnetic field, μ₀ is the permeability of free space (4π × 10^−7 T·m/A), I is the current, and r is the distance from the wire.

In this case, we are given:
I = 20 milliamps = 20 × 10^−3 A
r = radius of the wire = 1 millimeter = 1 × 10^−3 m

Plugging in these values into the formula:

B = (4π × 10^−7 T·m/A) * (20 × 10^−3 A) / (2π * 1 × 10^−3 m)

Simplifying, we can cancel out some units and numbers:

B = (2 × 10^−7) T

Therefore, the magnitude of the largest magnetic field created by this wire is 2 × 10^−7 Tesla.

To calculate the magnitude of the largest magnetic field created by a straight wire, you can use the formula given by Ampere's Law. Ampere's Law states that the magnetic field created by a straight conductor is directly proportional to the current passing through it and inversely proportional to the distance from the wire.

The formula for calculating the magnetic field strength (B) at a distance (r) from a straight wire carrying current (I) is:

B = (μ₀ * I) / (2π * r)

Where:
B is the magnetic field strength in Tesla (T).
μ₀ (mu naught) is the permeability of free space and has a value of 4π × 10⁻⁷ T·m/A.
I is the current in Amperes (A).
r is the distance from the wire in meters (m).

Given:
I = 20 milliamps = 20 × 10⁻³ A
r is not provided (we will assume a reasonable distance)

Now, let's substitute the given values into the formula:

B = (4π × 10⁻⁷ T·m/A * 20 × 10⁻³ A) / (2π * r)

Simplifying the equation:

B = (2 × 10⁻⁷ T·m) / r

Since we do not have a specific value for the distance (r), we cannot calculate the exact magnitude of the magnetic field. The magnitude of the largest magnetic field created by this wire depends on the distance at which it is measured.