The figure shows a variable "air gap" capacitor of the type used in manually tuned radios. Alternate plates are connected together; one group of plates is fixed in position, and the other group is capable of rotation. Consider a capacitor of n = 8 plates of alternating polarity, each plate having area A = 1.96 cm² and separated from adjacent plates by distance d = 3.70 mm. What is the maximum capacitance of the device? Number i A Units

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The image describes a variable "air gap" capacitor used in manually tuned radios. In this setup, alternate plates are interconnected; one set of plates remains stationary while the other is rotatable. The depicted capacitor has \( n = 8 \) plates with alternating polarity, each possessing an area \( A = 1.96 \, \text{cm}^2 \). The plates are separated by a distance \( d = 3.70 \, \text{mm} \). The question posed is: What is the maximum capacitance of the device?

The accompanying diagram illustrates the capacitor assembly. It shows a sequence of interleaved plates, with some fixed and others rotatable, highlighting the gap \( d \) between them. Each plate is labeled with \( A \), representing the area. The rotational capability is indicated with an arrow, suggesting how the plates can move to vary capacitance. 

A dropdown box is included to enter the numeric value and unit of the calculated maximum capacitance.
Transcribed Image Text:The image describes a variable "air gap" capacitor used in manually tuned radios. In this setup, alternate plates are interconnected; one set of plates remains stationary while the other is rotatable. The depicted capacitor has \( n = 8 \) plates with alternating polarity, each possessing an area \( A = 1.96 \, \text{cm}^2 \). The plates are separated by a distance \( d = 3.70 \, \text{mm} \). The question posed is: What is the maximum capacitance of the device? The accompanying diagram illustrates the capacitor assembly. It shows a sequence of interleaved plates, with some fixed and others rotatable, highlighting the gap \( d \) between them. Each plate is labeled with \( A \), representing the area. The rotational capability is indicated with an arrow, suggesting how the plates can move to vary capacitance. A dropdown box is included to enter the numeric value and unit of the calculated maximum capacitance.
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