The current passing through an electric kettle has been doubled. The heat produced will become:

Options

A. half
B. double
C. four times
D. one-fourth

Answer

To solve the problem of how the heat produced in an electric kettle changes when the current is doubled, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Heat Produced**:
The heat produced (H) in a conductor due to current can be calculated using the formula:
\[ H = I^2 R T \]
where:
- \(H\) = heat produced (in joules)
- \(I\) = current (in amperes)
- \(R\) = resistance (in ohms)
- \(T\) = time (in seconds)

2. **Initial Heat Production**:
Let the initial current be \(I\). The heat produced when the current is \(I\) can be expressed as:
\[ H = I^2 R T \]

3. **Doubling the Current**:
If the current is doubled, the new current becomes \(2I\). We need to find the new heat produced (\(H'\)) when the current is \(2I\):
\[ H' = (2I)^2 R T \]

4. **Calculate the New Heat Production**:
Expanding the equation for \(H'\):
\[ H' = 4I^2 R T \]

5. **Relate New Heat to Initial Heat**:
Now, we can relate \(H'\) back to the initial heat \(H\):
\[ H' = 4(I^2 R T) = 4H \]
This shows that the new heat produced when the current is doubled is four times the initial heat produced.

6. **Conclusion**:
Therefore, when the current passing through the electric kettle is doubled, the heat produced will become four times the initial heat.

### Final Answer:
The heat produced will become **4 times** the initial heat.

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