Question

A spatially uniform magnetic field points in the +z-direction and is increasing in strength at the rate of 1.55 T/ms.

Answer 1

The question is asking for the magnitude and direction of the electric field as a function of distance from the geometric center of a cylindrical region where the magnetic field is decreasing uniformly.

Step-by-step explanation:

The subject of this question is Physics.

The question is asking for the magnitude and direction of the electric field as a function of distance from the geometric center of a cylindrical region where the magnetic field starts at 1.0 T and decreases to zero in 20 s.

To determine the electric field, you can use the formula Р = -∂/∂t, where Р represents the electric field, and ∂/∂t represents the change in magnetic field over time. Since the magnetic field is decreasing uniformly, its change over time is constant, so you can calculate the electric field by dividing the change in magnetic field magnitude by the change in time.

Answer 2

The question involves using Faraday's law of induction to determine the electric field induced due to a uniformly changing magnetic field inside a cylindrical region. The electric field's magnitude is determined by the rate of change of the magnetic field.

Step-by-step explanation:

The question is about the electric field created due to a change in a magnetic field. According to Faraday's law of induction, a time-changing magnetic field will induce a circular electric field in the space around it.

If the magnetic field at all points within a cylindrical region decreases uniformly to zero in 20 s from an initial 1.0 T strength, we can calculate the induced electric field using the formula for electromagnetic induction, which involves the rate of change of magnetic flux.

To find the electric field E as a function of r, the distance from the center of the region, we use the formula for induced emf in a loop of wire, E = -dΦB/dt, where ΦB is the magnetic flux.

In this scenario, the electric field induced in a circular loop inside the region would have a magnitude determined by the rate of change of magnetic field and would be directed tangentially to the loop, with direction given by Lenz's law.