NEET-XII-Physics

31: Capacitors

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  • #2
    Two capacitors each having capacitance C and breakdown voltage V are joined in series. The capacitance and the breakdown voltage of the combination will be
    (a) 2 C and 2 V
    (b) C/2 and V/2
    (c) 2 C and V/2
    (d) C/2 and 2 V.
    digAnsr:   d
    Ans : (d) C/2 and 2V
    Since the voltage gets added up when the capacitors are connected in series, the voltage of the combination is 2V.
    Also, the capacitance of a series combination is given by
    `` \frac{1}{{C}_{\,\mathrm{\,net\,}}}=\frac{1}{{C}_{1}}+\frac{1}{{C}_{2}}``
    Here,
    C​net​ = Net capacitance of the combination
    C1 = C2 = C
    ∴ Cnet = `` \frac{C}{2}``
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