A magnetic bar is moved toward a 40 turn circular coil of wire. If coil radius is 3.05 ohms

Find the magnitude of
A) the induced E. M. F
B) the induced current

How?

To find the magnitude of the induced electromotive force (E.M.F) and the induced current in the circular coil of wire, you need to use Faraday's law of electromagnetic induction. Faraday's law states that the induced electromotive force (E.M.F) in a closed loop is equal to the negative rate of change of the magnetic flux passing through the loop.

The magnetic flux (Φ) is given by the formula:

Φ = B * A * cosθ

where:
B is the magnetic field strength,
A is the area of the loop, and
θ is the angle between the magnetic field and the normal to the loop.

Given:
- The magnetic bar is moving towards the coil, suggesting a changing magnetic field.
- The coil has 40 turns.
- The radius of the coil is 3.05 ohms (which seems like a unit mismatch. Radius is typically in meters or centimeters, not in ohms).

To find the magnitude of the induced E.M.F and current, you need more information about the changing magnetic field or the motion of the magnetic bar. Specifically, you need to know the magnetic field strength (B) or the rate of change of magnetic field (dB/dt) for a complete solution.

Once you have the magnetic field strength or the rate of change of the magnetic field, you can calculate the induced E.M.F using the formula:

E.M.F = -N * (dΦ/dt)

where N is the number of turns in the coil. The induced current can then be calculated using Ohm's law (I = E.M.F / R), where R is the resistance of the circuit.

Please provide additional information about the changing magnetic field or the motion of the magnetic bar, so that I can guide you through the calculation process more specifically.