Question

A high-energy proton accelerator produces a proton beam with a radius of r = 0.90mm. The beam current is I = 9.00μA and is constant. The charge density of the beam is n = 6.00 × 10¹¹ protons per cubic meter.

1. The current density of the beam is _____ A/m².
2. The drift velocity of the beam is ______ × 10⁷ m/s.
3. The time it takes for 1.00 × 10¹⁰ protons to be emitted by the accelerator is ________ ms.

Answer 1

1. The current density of the beam is 3.54 A/m².
2. The drift velocity of the beam is 3.69 × 10⁷ m/s.
3. The time it takes for 1.00 × 10¹⁰ protons to be emitted by the accelerator is 0.18 ms.