30.13
The induced electric field produced by a changing magnetic field differs from the electrostatic field generated by static charge distribution.
The induced electric field is non-conservative as its net work for moving a charge in a closed path is non-zero, whereas the electrostatic field is conservative.
Consider a circular coil with a 0.25 meter radius. A magnetic field perpendicular to the plane of the coil is directed inward and starts increasing at a constant rate of 3 t Tesla per second. Calculate the induced emf and electric field at 5 seconds.
List the known and unknown quantities.
As the magnetic field is perpendicular to the plane, the magnetic flux is a product of the coil's magnetic field and area.
Using Faraday's law, the induced emf based on the magnetic flux is 2.94 Volts at 5 seconds.
Also, induced emf can be expressed in terms of induced electric field.
As the electric field vector is tangential to the coil, whose circumference is 2-pi-r, the equation can be rearranged to find the induced electric field—1.87 Volts per meter.
Er bestaat een belangrijk onderscheid tussen het elektrische veld dat wordt geïnduceerd door een veranderend magnetisch veld en het elektrostatische v…
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