Power Output of Radiation from a Solenoid with Linearly Decreasing Current

In summary, a solenoid with 610 cycles, a radius of 0.136m, and a length of 0.87m has a current that decreases linearly from 0.31 A to zero through the equation I(t)=I0−bt. The power output of the electromagnetic radiation at t= 0.738095238095 is unclear, as the frequency of the solenoid is only one Hertz and the fields contain mostly stored energy rather than being radiated.
  • #1
Jaakko
1
0

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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  • #2
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.
 

1. What is the power output of radiation?

The power output of radiation refers to the amount of energy that is emitted from a radiation source per unit of time. It is typically measured in watts (W) or joules per second (J/s).

2. How is the power output of radiation calculated?

The power output of radiation can be calculated by multiplying the energy of each individual particle by the number of particles emitted per second. This is known as the radiation intensity and is typically denoted by the symbol I. The power output can then be calculated by multiplying the radiation intensity by the cross-sectional area of the radiation beam.

3. What factors affect the power output of radiation?

The power output of radiation can be affected by several factors, including the type of radiation (e.g. alpha, beta, gamma), the energy of the particles, the distance from the radiation source, and any shielding or barriers that may be present.

4. Can the power output of radiation be controlled?

Yes, the power output of radiation can be controlled by adjusting the intensity of the radiation source or by using shielding materials to reduce the amount of radiation emitted. This is important for safety measures and to ensure the desired level of radiation exposure for specific applications, such as in medical treatments or industrial processes.

5. How is the power output of radiation used in practical applications?

The power output of radiation has many practical applications, such as in medical imaging and treatments (e.g. X-rays, radiotherapy), nuclear power generation, and industrial processes (e.g. sterilization, food preservation). It is also used in research and scientific experiments to study the properties and effects of radiation.

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