Question:
The ratio of the heat produced in a $2\,\Omega$ and a $4\,\Omega$ resistor connected in series with a voltage source of $12$ V is
The ratio of the heat produced in a $2\,\Omega$ and a $4\,\Omega$ resistor connected in series with a voltage source of $12$ V is
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In series circuits:
- Current is same
- Heat produced $\propto R$
Updated On: Apr 30, 2026
- $2:1$
- $1:4$
- $4:1$
- $1:2$
- $1:8$
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The Correct Option is D
Solution and Explanation
Concept:
Heat produced (Joule’s law):
\[
H = I^2 R t
\]
In series circuit, current $I$ is same through all resistors.
Step 1: Write heat ratio.
\[ H \propto R \]
Step 2: Substitute resistances.
\[ H_1 : H_2 = 2 : 4 \]
Step 3: Simplify.
\[ = 1 : 2 \]
Step 1: Write heat ratio.
\[ H \propto R \]
Step 2: Substitute resistances.
\[ H_1 : H_2 = 2 : 4 \]
Step 3: Simplify.
\[ = 1 : 2 \]
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