Determine magnetic flux and current

[mar7pau]

Homework Equations

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The Attempt at a Solution

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[alphysicist]

Hi mar7pau,

Homework Statement

The picture shows too identical circular wire loops with their areas facing each other. The loop on the left has a battery in it as shown, so there is a steady constant current flowing through it. The loop on the right has no battery in it. Answer the following questions (remember, give an explanation for each answer, add directions of currents and magnetic fields to the drawing as necessary):

a.Is there a magnetic flux through the loop on the right?
b.Is there a current in the loop on the right?
c.Supposing I cut the wire of the left loop so current does not flow through it
What happens in the right loop? Why?

Homework Equations

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The Attempt at a Solution

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Please attempt the problem and post both your answers and reasoning; then we'll know how we can help.

 

[tomcue]

Magnetic flux is the measure of the amount of magnetic field passing through a given surface. It is denoted by the symbol Φ and its unit is the Weber (Wb). It can be calculated by taking the dot product of the magnetic field vector and the surface area vector.

Current, on the other hand, is the flow of electric charge through a conductor. It is denoted by the symbol I and its unit is the Ampere (A). It can be calculated by dividing the amount of charge passing through a given point by the time it takes for the charge to pass.

To determine the magnetic flux, we can use the formula Φ = B * A * cosθ, where B is the magnitude of the magnetic field, A is the area of the surface and θ is the angle between the magnetic field and the surface area.

To determine the current, we can use the formula I = Q/t, where Q is the amount of charge passing through a given point and t is the time it takes for the charge to pass.

It is important to note that both magnetic flux and current are vector quantities and their directions should be taken into consideration when calculating them. Additionally, the units for magnetic flux and current can be converted using the relationship 1 Wb = 1 T*m^2 and 1 A = 1 C/s, respectively.