Consider the situation of the given figure . If `1.0muC ` is placed on the upper plate , what will be the potential difference between (a ) the upper and middle plates and (b ) the middle and the lower plate? If capacitance of each capacitor is 50 nF.

Explanation

To solve the problem step by step, we need to find the potential differences between the plates of a capacitor system when a charge of \(1.0 \, \mu C\) is placed on the upper plate. The capacitance of each capacitor is given as \(50 \, nF\).

### Step 1: Understand the Charge Distribution
When \(1.0 \, \mu C\) is placed on the upper plate, the charge distribution on the plates will be as follows:
- The upper plate will have a charge of \(+1.0 \, \mu C\).
- The middle plate will have a charge of \(0 \, \mu C\) initially, but due to the influence of the upper plate, it will acquire a charge of \(-0.5 \, \mu C\) on its inner surface and \(+0.5 \, \mu C\) on its outer surface.
- The lower plate will also have a charge of \(0 \, \mu C\) initially, but it will acquire a charge of \(-0.5 \, \mu C\) on its inner surface and \(+0.5 \, \mu C\) on its outer surface.

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