Final answer:
The statement that increasing the current from 10 A to 15 A decreases the magnetic field strength is false; the magnetic field strength increases with increasing current, according to Ampère's Law.
Step-by-step explanation:
The question concerns the relationship between electric current and the magnetic field generated by a conductor. The statement given is false; when the current passing through a conductor is increased from 10 A to 15 A, this does not decrease but rather increases the strength of the magnetic field produced by the conductor, according to Ampère's Law. The strength of the magnetic field around a conductor is directly proportional to the amount of current flowing through it.
For example, using the Biot-Savart Law or Ampère's Law, you can calculate the magnitude of the magnetic field generated by a current-carrying wire. If we were to consider a straight long wire and apply Ampère's Law, the magnetic field (B) at a distance (r) from the wire with current (I) is given by:
B = (μ0 * I) / (2 * π * r)
Where μ0 is the permeability of free space. As seen, the magnetic field B is directly proportional to the current I.