Question

The power lines that run through your neighborhood carry alternating currents that reverse direction 120 times per second. As the current changes, so does the magnetic field around a line. Suppose you wanted to put a loop of wire up near the power line to extract power by "tapping" the magnetic field.

a. Sketch a picture of how you would orient the coil of wire next to a power line to develop the maximum emf in the coil.

Answer 1

The diagram is in the attached drawing

Step-by-step explanation:

The magnitude of induced emf is equal to:

`\epsilon = N(delta\phi )/(deltat )`

Where

N = number of turns

ΔФ = magnetic flux

The equation for the magnetic flux is:

`delta\phi =BAcos\theta`

Where

B = magnetic field

θ = angle

A = area

If the loop area is assumed to be parallel to the magnetic field, the current flow in the loop is minimal, so an induced emf would not occur. To get most of the current flow, it should be placed near the power lines so that the loop plane has the power lines. In this way, the change in current flow would be maximum and would produce a larger induced emf.