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Question : 10
Total: 13
You are given three capacitors of 2 µ F , 3 µ F and 4 µ F , respectively.
(a) Form a combination of all these capacitors of equivalent capacitance
µ F .
(b) What is the maximum and minimum value of the equivalent capacitance that can be obtained by connecting these capacitors ?
(a) Form a combination of all these capacitors of equivalent capacitance
(b) What is the maximum and minimum value of the equivalent capacitance that can be obtained by connecting these capacitors ?
Solution:
(a) 2 µ F and 4 µ F capacitors are to be connected in series. So, the effective capacitor will be
C eff =
=
µ F
WithC eff , the 3 µ F capacitor is to be connected in parallel. So, the equivalent capacitor will be
C eqv =
+ 3 =
µ F
(b) Maximum value of capacitance may be obtained by connecting the capacitors in parallel. In that case, the equivalent capacitance will be,( 2 + 3 + 4 ) = 10 µ F .
Minimum value of capacitance may be obtained by connecting the capacitors in series. In that case, the equivalent capacitance will beC S .
=
+
+
=
∴ C S =
µ F
With
(b) Maximum value of capacitance may be obtained by connecting the capacitors in parallel. In that case, the equivalent capacitance will be,
Minimum value of capacitance may be obtained by connecting the capacitors in series. In that case, the equivalent capacitance will be
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