Question

Current flowing in a conductor causes magnetic field of 0,25

microteslas at distance of 1,5 m from the conductor. Find current
in conductor.
Give your answer in amperes to one decimal place without
unit

Answer 1

To find the current in the conductor, use the formula: magnetic field (B) = (μ₀ x I) / (2π x r). Plugging in the given values and solving the equation, the current in the conductor is 0.9 Amperes.

Step-by-step explanation:

To find the current in the conductor, we can use the formula:

magnetic field (B) = (μ₀ x I) / (2π x r)

Where μ₀ is the permeability of free space (4π x 10^-7 Tm/A), I is the current in the conductor, and r is the distance from the conductor.

Plugging in the given values, we have:

B = (4π x 10^-7 Tm/A) x I / (2π x 1.5 m)

Simplifying the equation gives us:

B = 2.67 x 10^-7 T/A x I

Given that the magnetic field is 0.25 microteslas (0.25 x 10^-6 T), we can now solve for the current (I):

0.25 x 10^-6 T = 2.67 x 10^-7 T/A x I

Simplifying the equation gives us:

I = (0.25 x 10^-6 T) / (2.67 x 10^-7 T/A)

I = 0.9375 A

Therefore, the current in the conductor is 0.9 Amperes (to one decimal place without unit).