Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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The Electric Current in an X-ray Tube (From the Target to the Filament) Operating at 40 Kv is 10 Ma. Assume that on an Average, 1% of the Total Kinetic Energy of the Electron Hitting - Physics

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Question

The electric current in an X-ray tube (from the target to the filament) operating at 40 kV is 10 mA. Assume that on an average, 1% of the total kinetic energy of the electron hitting hte target are converted into X-rays.
(a) What is the total power emitted as X-rays and (b) how much heat is produced in the target every second?

Solution

Given :
V = 30 KV
i = 10mA

1% of TKE (total kinetic energy) = X-ray
i = ne

or  `n = (10^-2)/(1.6 xx 10^-19)`

= `0.625 xx 10^17` (number of electrons)

KE of one electron = eV

= `1.6 xx 10^-19 xx 40 xx 10^3`

= `6.4 xx 10^-15  "J"`

`"T"_("KE") = 0.625 xx 6.4 xx 10^17 xx 10^-15`

= `4 xx 10^2  "J"`

(b) Heat produced in target per second = 400 − 4 = 396 J

  Is there an error in this question or solution?

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Solution The Electric Current in an X-ray Tube (From the Target to the Filament) Operating at 40 Kv is 10 Ma. Assume that on an Average, 1% of the Total Kinetic Energy of the Electron Hitting Concept: Electromagnetic Spectrum.
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