Question

(figure 1) shows a 17-cm-diameter loop in three different magnetic fields. the loop's resistance is 0.90 ω .

Answer 1

To calculate the magnetic field at the centre of a loop, you can use Ampere's Law. The formula is B = µ₀ * I / (2 * r), where B is the magnetic field, µ₀ is the magnetic constant, I is the current flowing through the loop, and r is the radius of the loop.

Step-by-step explanation:

The question is asking about the magnetic field at the centre of a loop. To find the magnetic field at the centre of a loop, you can use Ampere's Law. Ampere's Law states that the magnetic field inside a loop of wire is proportional to the current flowing through the loop and inversely proportional to the radius of the loop.

You can calculate the magnetic field at the centre of the loop using the formula:

B = μ0 * I / (2 * r)

where B is the magnetic field, μ0 is the magnetic constant (4π x 10-7 Tm/A), I is the current flowing through the loop, and r is the radius of the loop.

In this case, the loop has a diameter of 17 cm, so the radius is half the diameter, which is 8.5 cm (0.085 m). The current flowing through the loop is not provided in the question, so you would need that information to calculate the magnetic field.

Answer 2

The question revolves around calculating magnetic fields, magnetic flux, and induced currents in wire loops using the principles of electromagnetism, particularly using Ampère's law and Faraday's law of electromagnetic induction.

Step-by-step explanation:

The student's question involves the concepts of electromagnetism, specifically involving calculations of magnetic fields, magnetic flux, and induced currents in loops of wire in different scenarios. Using physics principles like Ampère's law and Faraday's law of electromagnetic induction, it's possible to derive formulas for the magnetic field strength inside loops and solenoids, the induced electromotive force (emf) and current, and the effects of varying magnetic fields and current on loops.

For example, to find the magnetic field at the center of a loop, we could use the formula µ0I/(2R) for a single loop of wire, where µ0 is the permeability of free space, I is the current flowing through the wire, and R is the radius of the loop. Similarly, Faraday's law can be used to find the induced emf and current in a loop when the magnetic field through it changes over time.