5. Two rectilinear infinitely long conductors are located in parallel at a distance d=10 cm from each other. Currents I_(1)=I_(2)=10 A flow through the conductors in opposite directions.Find the magnitude and direction of the strength H of the magnetic field at a point located at a distance a=10 cm from each conductor.

To find the magnitude and direction of the magnetic field strength at a point located at a distance cm from each conductor, we can use the Biot-Savart law or Ampere's Law. However, for infinitely long straight conductors, the magnetic field at a perpendicular distance from the conductor is given by: Since both conductors are carrying currents in opposite directions, the magnetic fields due to each conductor will add up vectorially at the point halfway between them.Let's calculate the magnetic field due to each conductor separately:For the first conductor: For the second conductor: Since the currents are in opposite directions, the magnetic fields at the point halfway between them will also be in opposite directions. Therefore, the net magnetic field strength at the point located at a distance cm from each conductor is the vector sum of and : The direction of the magnetic field will be along the axis perpendicular to the plane containing the conductors, pointing from the conductor with current towards the conductor with current .Therefore, the magnitude of the magnetic field strength at the point located at a distance cm from each conductor is approximately , and the direction is from the conductor with current towards the conductor with current .