The question is asking for the value of I (current) in the given equation.
The equation you have provided is known as the Biot-Savart law, which relates the current in a wire to the magnetic field it generates. The formula is as follows:
B = (μ₀ * I * L) / (4π * r)
Where:
B = magnetic field (0.2 T in this case)
I = current
L = length of wire (0.1 m in this case)
r = distance from the wire
μ₀ = permeability of free space (4π x 10^-7 T⋅m/A)
To solve for I, we can rearrange the equation and substitute the given values:
I = (B * 4π * r) / (μ₀ * L)
where n = L/r, so r = L/n
So, I = (0.2 T * 4π * (0.1 m/300)) / (4π x 10^-7 T⋅m/A)
I = (0.2 T * (0.1 m/300)) / (10^-7 T⋅m/A)
I = 6.28 x 10^-4 A
So, the current in the wire is approximately 6.28 x 10^-4 Amperes.
