Power Output of Radiation from a Solenoid with Linearly Decreasing Current

AI Thread Summary
The discussion centers on the power output of electromagnetic radiation from a solenoid with 610 cycles, a radius of 0.136m, and a length of 0.87m, where the current decreases linearly from 0.31 A to zero. The equation for current is given as I(t)=I0−bt, with b being 0.21 A/s. Concerns are raised about the solenoid's ability to radiate significant energy, given its length and the low frequency of approximately one Hertz, resulting in a wavelength of 3x10^8 meters. It is argued that the electric and magnetic fields present do not necessarily lead to radiation, as the energy is primarily stored within the fields rather than emitted. Overall, the discussion highlights skepticism regarding the radiation output of the solenoid under the specified conditions.
Jaakko
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Homework Statement


A solenoid contains 610 cycles, with a radius of 0.136m and a length of 0.87m. The current of the solenoid decreases linearly from the maximum value I0 to zero through the equation I(t)=I0−bt, where I0=0.31 A and b=0.21 A/s.

What is the power output of the electromagnetic radiation at t= 0.738095238095?

Homework Equations


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The Attempt at a Solution


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I am unclear why a solenoid about one metre long will radiate any significant energy when the supposed frequency is in the order of one Hertz, a wavelength of 3x10^8 metres? The presence of electric and magnetic fields does not mean there is radiation. The fields of the solenoid contain energy that is almost entirely stored and not radiated.
 
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