Physics

Problem

Three capacitors of capacitances

C_1

C_2

and

C_3

are connected in series between terminals

X

and

Y

. Answer the following: a. (i) State the mathematical relation between

C_1

C_2

C_3

and the equivalent capacitance

C_{eq}

of the combination. b. (ii) Explain, with reason, why the magnitude of charge on each capacitor is the same when a steady potential difference is applied between

X

and

Y

. c. (iii) Using the relation stated in part (i), prove algebraically that

C_{eq}

is smaller than the smallest of the three individual capacitances.

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