Final answer:
The force between a wire carrying a current and a magnetic field can be calculated using the equation F = ICB sin θ. Plugging in the given values, we find that the magnitude of the magnetic field is 0.55 × 10-2 T.
Step-by-step explanation:
The force between a wire carrying a current and a magnetic field can be calculated using the equation F = ICB sin θ. In this case, the length of the wire is given as 10 cm and the force is given as 0.022 N.
Using the equation, we can rearrange it to solve for the magnitude of the magnetic field B. Rearranging the equation, we have B = F / (IC sin θ). Plugging in the given values, we have B = 0.022 N / (0.40 A * 0.10 m * sin 90°). Solving this, we find B = 0.55 × 10-2 T.