Calcualte the magnetic field strength at point P. The current, I, is 11.0 A, the angle is 21.0° and the radius, R, is 3.60 cm

To calculate the magnetic field strength at point P, we can use Ampere's Law, which states that the magnetic field around a current-carrying wire is given by the formula:

B = μ0I / (2π*r)

where:

• B is the magnetic field strength,
• μ0 is the permeability of free space (4π x 10^-7 T m/A),
• I is the current,
• r is the distance from the wire (in this case, the radius).

However, since the point P is not directly perpendicular to the wire, we need to take into account the angle. The component of the magnetic field that is perpendicular to the radius vector at point P is given by:

B_perpendicular = B * sin(θ)

where θ is the angle.

Let's plug in the given values:

1. Convert the radius from cm to m: r = 3.60 cm = 0.036 m
2. Calculate B using Ampere's Law: B = (4π x 10^-7 T m/A * 11.0 A) / (2π0.036 m) = 3.06 x 10^-5 T
3. Convert the angle from degrees to radians: θ = 21.0° = 0.3665 rad
4. Calculate B_perpendicular: B_perpendicular = 3.06 x 10^-5 T * sin(0.3665 rad) = 1.11 x 10^-5 T

So, the magnetic field strength at point P is approximately 1.11 x 10^-5 T.