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- Homework Statement
- A thin metal plate P is inserted between the plates of a parallel plate capacitor of capacitance C in such a way that its edges touch the two plates. The capacitance now becomes (a) 0 (b) infinity.

- Relevant Equations
- $$ C=\frac Q V$$

Because of the plate P, the capacitor becomes a piece of conductor. It contains zero net charge and has 0 potential difference. Hence, the capacitance is ## \frac 0 0 # # that is undefined.

The capacitance of a capacitor is defined as its capacity to store charge when a potential difference is applied across the plates. Here, the plates cannot store net charge. So the net stored charge is zero. Hence, it's capacitance should be zero.

The capacitance of a capacitor is defined as its capacity to store charge when a potential difference is applied across the plates. Here, the plates cannot store net charge. So the net stored charge is zero. Hence, it's capacitance should be zero.

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