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P Heat at the Rate of 200 W is Produced in an X-ray Tube Operating at 20 Kv. Find the Current in the Circuit. Assume that Only a Small Fraction of the Kinetic Energy - Physics

Sum

Heat at the rate of 200 W is produced in an X-ray tube operating at 20 kV. Find the current in the circuit. Assume that only a small fraction of the kinetic energy of electrons is converted into X-rays.

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Solution

Given:-
Heat produced/second = Power (P) = 200 W
Potential in the X ray tube, V = 20 kV
We know

Power, P = VI
Here, V = potential difference
          I = current

But `l = (n e)/t`
Where, e = charge on electron
             t = time
            n = no of electrons

`therefore P = (n eV)/t`

`⇒ 200 = (n eV)/t`

`⇒ (n e"/"t)V = 200`

`⇒ I = 200/V`

`⇒ I = 200/(20 xx 10^3) = 10  "mA"`

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