Question:
When filled with a dielectric, the capacitance C of a capacitor changes by 2C. Then the dielectric constant of the dielectric is
When filled with a dielectric, the capacitance C of a capacitor changes by 2C. Then the dielectric constant of the dielectric is
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"Changes by 2C" means the new value is $C + 2C = 3C$.
Updated On: Apr 27, 2026
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The Correct Option is D
Solution and Explanation
Step 1: Concept
New capacitance $C' = KC$, where $K$ is the dielectric constant.
Step 2: Meaning
The change in capacitance is $\Delta C = C' - C = (K-1)C$.
Step 3: Analysis
Given change $= 2C$, so $2C = (K-1)C \Rightarrow 2 = K - 1 \Rightarrow K = 3$.
Step 4: Conclusion
The dielectric constant is 3.
Final Answer: (D)
New capacitance $C' = KC$, where $K$ is the dielectric constant.
Step 2: Meaning
The change in capacitance is $\Delta C = C' - C = (K-1)C$.
Step 3: Analysis
Given change $= 2C$, so $2C = (K-1)C \Rightarrow 2 = K - 1 \Rightarrow K = 3$.
Step 4: Conclusion
The dielectric constant is 3.
Final Answer: (D)
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