An electron beam with cross-section area 1.0 mm2 has 6 × 1016 electrons (q = 1.6 × 10-19 C) passing per second perpendicular to any section. The current density (ampere per metre2) in the beam is: 

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AAI ATC Junior Executive 21 Feb 2023 Shift 2 Official Paper
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  1. 9.6 × 102
  2. 9.6 × 10-3
  3. 9.6 
  4. 9.6 × 103

Answer (Detailed Solution Below)

Option 4 : 9.6 × 103
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Detailed Solution

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Given:

Number of electrons 

Charge of electron beam 

Area 

Time 

Concept:

 

The total charge crossing a perpendicular cross-section in one second is

  • q=ne
  • Current 
  • Current density, 

 

Explanation:

The total charge crossing a perpendicular cross-section in one second is

q=ne

Hence, the correct answer is .

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