When starter motor of a car is switched on for `0.8 s`, a charge `24 C` passes through the coil of the motor. Calculate the current in the coil.

Answer

To solve the problem of calculating the current in the coil of a car's starter motor, we will follow these steps:

### Step 1: Understand the formula for current
The current (I) is defined as the rate of flow of charge. The formula to calculate current is given by:
\[ I = \frac{Q}{t} \]
where:
- \( I \) is the current in amperes (A),
- \( Q \) is the charge in coulombs (C),
- \( t \) is the time in seconds (s).

### Step 2: Identify the given values
From the problem, we have:
- Charge (\( Q \)) = 24 C
- Time (\( t \)) = 0.8 s

### Step 3: Substitute the values into the formula
Now we substitute the values of \( Q \) and \( t \) into the formula:
\[ I = \frac{24 \, \text{C}}{0.8 \, \text{s}} \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ I = \frac{24}{0.8} \]
To simplify \( \frac{24}{0.8} \), we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[ I = \frac{240}{8} \]

Now, dividing 240 by 8:
\[ I = 30 \, \text{A} \]

### Step 5: State the final answer
The current in the coil of the starter motor is:
\[ \text{Current} = 30 \, \text{A} \]

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