Introduction:
When a conducting ring is placed in a magnetic field, the changing magnetic field induces an electric field in the ring. This phenomenon is known as electromagnetic induction. In this case, we have a conducting ring of radius 1 m placed in a uniform magnetic field B of 0.01 Tesla oscillating with a frequency of 100 Hz. We need to find the maximum induced electric field in the ring.

Formula for induced electric field:
The induced electric field in a conducting ring can be calculated using Faraday's law of electromagnetic induction:

E = -dΦB/dt

Where E is the induced electric field, ΦB is the magnetic flux through the ring, and dt is the time interval over which the change occurs.

Calculation of magnetic flux:
The magnetic flux through the ring can be calculated using the formula:

ΦB = B * A * cos(θ)

Where B is the magnetic field strength, A is the area of the ring, and θ is the angle between the magnetic field and the plane of the ring.

In this case, the angle between the magnetic field and the plane of the ring is 90 degrees, so cos(θ) = 0. Therefore, the magnetic flux through the ring is zero.

Calculation of induced electric field:
Since the magnetic flux through the ring is zero, the induced electric field can be calculated as:

E = -dΦB/dt = 0

Therefore, the maximum induced electric field in the conducting ring is zero.

Explanation:
The key concept behind electromagnetic induction is the change in magnetic flux through a conducting loop. In this case, since the magnetic field is oscillating at a frequency of 100 Hz, the magnetic flux through the ring is constantly changing. However, the angle between the magnetic field and the plane of the ring is always 90 degrees, resulting in a zero magnetic flux. As a result, there is no induced electric field in the conducting ring.

Conclusion:
In the given scenario, the maximum induced electric field in the conducting ring is zero. This is because the magnetic flux through the ring is zero, due to the angle between the magnetic field and the plane of the ring being 90 degrees. This demonstrates the relationship between magnetic flux, magnetic field, and the induced electric field in a conducting loop.