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Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy...

Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy (in the range of 1012 W) pulses of electromagnetic waves that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk 4.0 μm in diameter, with the pulse lasting for 3.8 ns with an average power of 1.71×1012 W . We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse.

1. How much energy is given to the cell during this pulse?

2. What is the intensity (in W/m2) delivered to the cell?

3. What is the maximum value of the electric field in the pulse?

4. What is the maximum value of the magnetic field in the pulse?

Solutions

Expert Solution

This energy is spread uniformly over the faces of 100 cells. so Energy recieved by one cell is -

, is the area of the cell

3. Energy density of an Electromagnetic wave is given by the formula,

Also,

Intensity,

c is the speed of the electromagnetic wave

therefore,

Peak value of the electric field is,

(multiplying to the rms value)

4. Peak value of the magnetic field is,

genius_generous answered 2 years ago
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