A current of 1.6 A is flowing in a conductor. The number of electrons flowing per second through the conductor is

Options

A. `10^(9)`
B. `10^(19)`
C. `10^(16)`
D. `10^(31)`

Explanation

To solve the problem of finding the number of electrons flowing per second through a conductor with a current of 1.6 A, we can follow these steps:

### Step 1: Understand the relationship between current, charge, and time.
The current (I) is defined as the rate of flow of charge (Q) with respect to time (T):
\[ I = \frac{Q}{T} \]

### Step 2: Relate charge to the number of electrons.
The total charge (Q) can be expressed in terms of the number of electrons (N) and the charge of a single electron (e):
\[ Q = N \cdot e \]
where \( e \) (the charge of one electron) is approximately \( 1.6 \times 10^{-19} \) coulombs.

### Step 3: Substitute the expression for charge into the current formula.
Substituting \( Q \) in the current formula gives:
\[ I = \frac{N \cdot e}{T} \]

### Step 4: Rearrange the formula to solve for N.
To find the number of electrons (N), we rearrange the equation:
\[ N = \frac{I \cdot T}{e} \]

### Step 5: Substitute the known values.
Given:
- Current \( I = 1.6 \, \text{A} \)
- Time \( T = 1 \, \text{s} \) (since we want the number of electrons flowing per second)
- Charge of one electron \( e = 1.6 \times 10^{-19} \, \text{C} \)

Substituting these values into the equation:
\[ N = \frac{1.6 \, \text{A} \cdot 1 \, \text{s}}{1.6 \times 10^{-19} \, \text{C}} \]

### Step 6: Calculate N.
Calculating this gives:
\[ N = \frac{1.6}{1.6 \times 10^{-19}} = 10^{19} \]

### Conclusion:
Therefore, the number of electrons flowing per second through the conductor is:
\[ N = 10^{19} \]

### Final Answer:
The number of electrons flowing per second is \( 10^{19} \).

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