dielectric effect

Question

Fully inserting dielectric (constant K) between plates (battery disconnected) changes capacitance by factor?

RankGuru · Accepted Answer

1. **Dielectric Mechanism**: Dielectrics polarized in an external field create an internal opposing field, reducing the net electric field ($E' = E/K$).
2. **Voltage Change**: Since $V = Ed$, the voltage also drops to $V' = V/K$ (when the battery is disconnected so $Q$ is constant).
3. **Capacitance Definition**: $C = Q/V$.
4. **New Capacitance**: $C' = Q / V' = Q / (V/K) = K (Q/V) = K C$.
5. **Conclusion**: Inserting a dielectric always increases the capacitance by the **factor $K$**.

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