Stationary Target X-Ray Tubes - Energy

[ChrisJ]

Homework Statement

An x-ray tube with a stationary target is operated with a constant voltage and current of 100kV and 50mA for 0.2s . Approximately how much energy will be deposited as heat in the target and how much emitted as x-rays?

Homework Equations

$P=IV$ ?

The Attempt at a Solution

This is not coursework but preparation for an exam, it is is a past paper question.

I'm just a bit confused really as I can't find any reference to how to calculate the amount as heat/x-rays etc.

But the Energy in 1/5s would just be
<br /> P=IV=(50 \times 10^{-3})(1 \times 10^5)=5000 W
So therefore in 1/5s of a second the energy would be 1000J.

But how do I work out how much of that is heat or x-rays? Is that even correct as it? The only reference to anything at all relating to this in the lecture notes/slides says that usually only around 1% is x-rays, so I don't know if the question just wants me to say that and therefore say ~10J as x-rays and 990J as heat?

 

[drvrm]

The only reference to anything at all relating to this in the lecture notes/slides says that usually only around 1% is x-rays

i think the quoted estimate of 1% of energy being emitted as X-rays is an operational figure and the details of the estimate can not be done with the available data.
There are formulae for estimating the continuous X-ray intensity and it is proportional to Z the atomic number, tube current and square of the Potential difference applied.about one percent of the KE of electrons are used up in producing X-rays.