Final answer:
The equation for magnetic field intensity by a long straight wire is B = μ0I/(2πr), where μ0 is the permeability of free space, I is the current, and r is the distance to the wire. The equation relating the electric field to magnetic field in an electromagnetic wave is B = E/c. For magnetic force on a wire carrying current, the equation is F = I l B sin θ.
Step-by-step explanation:
The equation for magnetic field intensity surrounding a long straight wire carrying current can be represented by B = μ0I/(2πr), where B is the magnetic field strength, μ0 is the permeability of free space (4π × 10-7 T·m/A), I is the current through the wire, and r is the shortest distance to the wire. Additionally, we can relate the electric field (E) to magnetic field strength (B) in an electromagnetic wave through the equation B = E/c, utilizing the relationship ε0 = 1/μ0c², where ε0 is the permittivity of free space, and c is the speed of light. When it comes to magnetic force on a current-carrying wire in a magnetic field, it is given by F = I l B sin θ, where F is the force, l is the length of wire, B is the magnetic field intensity, and θ is the angle between the wire and the direction of the magnetic field.