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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

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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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