How many coulombs are provided by a current 0.010 mA in the calculator battery that can operate for 1000 hours?

Options

A. 1
B. 10
C. 0.01
D. 36

Answer

To solve the problem of how many coulombs are provided by a current of 0.010 mA in a calculator battery that can operate for 1000 hours, we can follow these steps:

### Step 1: Convert the Current from milliampere to ampere
The current is given as 0.010 milliampere (mA). We need to convert this to amperes (A).

\[ 1 \text{ mA} = 10^{-3} \text{ A} \]

Thus,

\[ 0.010 \text{ mA} = 0.010 \times 10^{-3} \text{ A} = 10^{-5} \text{ A} \]

### Step 2: Convert Time from Hours to Seconds
The time is given as 1000 hours. We need to convert this into seconds.

\[ 1 \text{ hour} = 3600 \text{ seconds} \]

So,

\[ 1000 \text{ hours} = 1000 \times 3600 \text{ seconds} = 3,600,000 \text{ seconds} = 3.6 \times 10^6 \text{ seconds} \]

### Step 3: Use the Formula to Calculate Charge
The formula to calculate charge (Q) is:

\[ Q = I \times T \]

Where:
- \( Q \) is the charge in coulombs,
- \( I \) is the current in amperes,
- \( T \) is the time in seconds.

Substituting the values we have:

\[ Q = (10^{-5} \text{ A}) \times (3.6 \times 10^6 \text{ seconds}) \]

### Step 4: Calculate the Charge
Now, we perform the multiplication:

\[ Q = 10^{-5} \times 3.6 \times 10^6 = 3.6 \times 10^{1} = 36 \text{ coulombs} \]

### Final Answer
The total charge provided by the current is **36 coulombs**.

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