Question

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

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

Hint:

Heat produced in a resistor depends on the square of the current: - Doubling the current increases heat by a factor of \(2^2 = 4\).

Answer 1

The Correct Option is C

Step 1: Use the formula for heat produced in an electrical circuit. The heat produced is given by: \[ H = I^2 R t \]
where:
- \( H \) is the heat produced, - \( I \) is the current, - \( R \) is the resistance, - \( t \) is the time.
Step 2: Analyze the effect of doubling current. If the current is doubled: \[ I' = 2I \Rightarrow H' = (2I)^2 R t = 4I^2 R t = 4H \]
Step 3: Conclude. The heat produced becomes
four times the original.