A 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 is :

Question

A 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 is : (A) (n - 1)C (B) (n + 1)C (C) C (D) nC

Tardigrade Admin · Accepted Answer

Each plate is taking part in the formation of two capacitors except the plates at the ends.
These capacitors are in parallel and

n

plates form

(n - 1)

capacitors.
Thus, equivalent capacitance between

A

and

B = (n - 1) C

Q. A 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 is :

$(n - 1) C$

$(n + 1) C$

$C$

$n C$

Each plate is taking part in the formation of two capacitors except the plates at the ends.
These capacitors are in parallel and $n$ plates form $(n - 1)$ capacitors.
Thus, equivalent capacitance between $A$ and $B = (n - 1) C$

Q. A 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 is :

(n−1)C

(n+1)C

C

nC

Each plate is taking part in the formation of two capacitors except the plates at the ends. These capacitors are in parallel and n plates form (n−1) capacitors. Thus, equivalent capacitance between A and B=(n−1)C

Q. A 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 is :

$(n - 1) C$

$(n + 1) C$

$C$

$n C$

Each plate is taking part in the formation of two capacitors except the plates at the ends.
These capacitors are in parallel and $n$ plates form $(n - 1)$ capacitors.
Thus, equivalent capacitance between $A$ and $B = (n - 1) C$