Electromagnetic Oscillations And Alternating Current

Step 1: Understanding the Magnetic Field Contribution
The original oscillation time period of the magnet is given by: The total effective horizontal magnetic field at the magnet due to the combination of the Earth's horizontal magnetic field and the magnetic field due to the vertical current is given by: where: - - is the field due to the wire, given by: where: - , - A, - cm m.

Step 2: Calculating

Step 3: Finding

Step 4: Finding the New Time Period
Since the time period of oscillation is inversely proportional to the square root of the magnetic field: