If I is a current through a wire and e is the change of electron, then the number of electrons in t seconds will be given by

Options

A. `(Ie)/(t)`
B. `Ite`
C. `e//It`
D. `It//e`

Explanation

To find the number of electrons that flow through a wire in a given time \( t \) when a current \( I \) is flowing, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between current, charge, and time**:
The current \( I \) is defined as the rate of flow of charge. Mathematically, this is expressed as:
\[ I = \frac{Q}{t} \]
where \( Q \) is the total charge that flows in time \( t \).

2. **Rearranging the formula**:
From the equation above, we can express the total charge \( Q \) as:
\[ Q = I \cdot t \]

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

4. **Setting the two expressions for charge equal**:
Since both expressions represent the total charge \( Q \), we can set them equal to each other:
\[ I \cdot t = n \cdot e \]

5. **Solving for the number of electrons \( n \)**:
To find the number of electrons \( n \), we can rearrange the equation:
\[ n = \frac{I \cdot t}{e} \]

### Final Answer:
The number of electrons that flow through the wire in \( t \) seconds is given by:
\[ n = \frac{I \cdot t}{e} \]