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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Current in Conductors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current in Conductors

An electron gun releases 2.0 × 10^ 16 electrons per second....

An electron gun releases 2.0×10162.0 \times 10^{16} electrons per second. Determine the electric current this corresponds to.

Options

  1. A3.2×10−3 A3.2 \times 10^{-3} \text{ A}
  2. B3.2 A3.2 \text{ A}
  3. C1.6×10−3 A1.6 \times 10^{-3} \text{ A}
  4. D3.2×10−4 A3.2 \times 10^{-4} \text{ A}

Correct answer

A. 3.2×10−3 A3.2 \times 10^{-3} \text{ A}

Step-by-step solution

Electric current is defined as the rate of flow of electric charge.

I=qtI = \dfrac{q}{t}

Since q=neq = ne, where nn is the number of electrons and ee is the elementary charge, the current can be written as:

I=nt×eI = \dfrac{n}{t} \times e

Given the number of electrons released per second is nt=2.0×1016 s−1\dfrac{n}{t} = 2.0 \times 10^{16} \text{ s}^{-1} and the charge of an electron is e=1.6×10−19 Ce = 1.6 \times 10^{-19} \text{ C}.

I=(2.0×1016)×(1.6×10−19) AI = (2.0 \times 10^{16}) \times (1.6 \times 10^{-19}) \text{ A}

I=3.2×10−3 AI = 3.2 \times 10^{-3} \text{ A}
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