An X-ray tube operating at 20 kV produces heat at a rate of 200 W . Determine the current in the circuit, assuming that only a small fraction of the kinetic energy of the electrons is converted into X-rays.

Question

Quantrex Academy · Accepted Answer

Correct answer: B. 0.01 A

Since only a small fraction of the kinetic energy of the electrons is converted into X-rays, the rate of heat production is approximately equal to the total electrical power supplied to the tube.

The electrical power is given by

P = VI

.

Substituting the given values,

P = 200 \text{ W}

and

V = 20 \text{ kV} = 20000 \text{ V}

:

I = \dfrac{P}{V}

I = \dfrac{200}{20000} = 0.01 \text{ A}

An X-ray tube operating at 20 kV produces heat at a rate of 200 W ....

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