In a linear accelerator, protons are accelerated fromrest through a potential di

Question

In a linear accelerator, protons are accelerated fromrest through a potential difference to a speed ofapproximately 3.1 x 106meters/sec. The resulting protonproduces a current of 2x102 ampere. a)determine the potential difference through which the protonswere accelerated b)if the beam is stopped at a target, determine the amount ofthermal energy that is produced in the target in one minute In a linear accelerator, protons are accelerated fromrest through a potential difference to a speed ofapproximately 3.1 x 106meters/sec. The resulting protonproduces a current of 2x102 ampere. a)determine the potential difference through which the protonswere accelerated b)if the beam is stopped at a target, determine the amount ofthermal energy that is produced in the target in one minute a)determine the potential difference through which the protonswere accelerated b)if the beam is stopped at a target, determine the amount ofthermal energy that is produced in the target in one minute

Explanation / Answer

Charge of proton q = 1.6 * 10 ^-19 C

Mass of proton m = 1.67 * 10 ^ -27 kg

Speed of proton v = 3.1 * 10 ^ 6 m / s

We know v = [ 2Vq / m]

From this potential difference V = ( 1/ 2q ) mv ^ 2

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