Knowee
Questions
Features
Study Tools

parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C then the resultant capacitance i

Question

parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C then the resultant capacitance i

🧐 Not the exact question you are looking for?Go ask a question

Solution

The resultant capacitance of a parallel plate capacitor made by stacking n equally spaced plates connected alternatively depends on whether the stack is connected in series or parallel.

  1. If the capacitors are connected in series, the total capacitance (C_total) is given by the formula 1/C_total = 1/C1 + 1/C2 + ... + 1/Cn. Since all the capacitors have the same capacitance (C), this simplifies to 1/C_total = n/C. Solving for C_total gives C_total = C/n.

  2. If the capacitors are connected in parallel, the total capacitance is simply the sum of the individual capacitances: C_total = C1 + C2 + ... + Cn = nC.

So, if the plates are connected alternatively, it means that one plate is connected to the next one in a series arrangement. For n plates, there will be n-1 capacitors in series. Therefore, the resultant capacitance will be C/(n-1).

This problem has been solved

Similar Questions

A parallel plate capacitor is made by placing polythene (K=2.3) between sheets of aluminium foil. The area of each sheet is 400 cm2, and the spacing is 0.3 mm. Find the capacitance.

For a parallel plate capacitor, the capacitance 𝐶C is directly proportional to:a) The area of the platesb) The distance between the platesc) The square of the distance between the platesd) The volume between the plates

Capacitance of an isolated parallel plate capacitor does not depend upon

n equal capacitors are first connected in series and then in parallel. The ratio of capacitances in series and parallel arrangements will be :

The capacitance of a parallel plate capacitor with a dielectric medium

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.