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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Capacitance

NEET 2026 · Physics · Capacitance

Five capacitors of capacitances C_1 = C_2 = C_3 = C_4 = 10\ μ F and...

Five capacitors of capacitances C1=C2=C3=C4=10 μFC_1 = C_2 = C_3 = C_4 = 10\ \mu F and C5=2.5 μFC_5 = 2.5\ \mu F are connected as shown, along with a battery of 5050 V.
Five capacitors of capacitances C_1 = C_2 = C_3 = C_4 = 10\ μ F and C_5 = 2.5\ μ F are connected as shown, along with a
The equivalent capacitance and the charges on each capacitor respectively are :

Options

  1. A5 μF5\ \mu F, 125 μC125\ \mu C on C1C_1 to C4C_4 and 25 μC25\ \mu C on C5C_5
  2. B5 μF5\ \mu F, 125 μC125\ \mu C on all capacitors
  3. C5 μF5\ \mu F, 250 μC250\ \mu C on all capacitors
  4. D4 μF4\ \mu F, 250 μC250\ \mu C on C1C_1 to C4C_4 and 125 μC125\ \mu C on C5C_5

Correct answer

B. 5 μF5\ \mu F, 125 μC125\ \mu C on all capacitors

Step-by-step solution

From the given circuit diagram, the capacitors C1,C2,C3C_1, C_2, C_3, and C4C_4 are connected in series. This series combination is connected in parallel with the capacitor C5C_5. The entire combination is connected across the 50 V50\text{ V} battery.

Let CsC_s be the equivalent capacitance of the series branch containing C1,C2,C3C_1, C_2, C_3, and C4C_4.
1Cs=1C1+1C2+1C3+1C4\dfrac{1}{C_s} = \dfrac{1}{C_1} + \dfrac{1}{C_2} + \dfrac{1}{C_3} + \dfrac{1}{C_4}
1Cs=110+110+110+110=410 μF−1\dfrac{1}{C_s} = \dfrac{1}{10} + \dfrac{1}{10} + \dfrac{1}{10} + \dfrac{1}{10} = \dfrac{4}{10}\ \mu\text{F}^{-1}
Cs=2.5 μFC_s = 2.5\ \mu\text{F}

The total equivalent capacitance CeqC_{eq} of the circuit is the sum of the parallel capacitances CsC_s and C5C_5:
Ceq=Cs+C5=2.5 μF+2.5 μF=5 μFC_{eq} = C_s + C_5 = 2.5\ \mu\text{F} + 2.5\ \mu\text{F} = 5\ \mu\text{F}

The voltage across the series branch is equal to the battery voltage, V=50 VV = 50\text{ V}.
The charge on the series combination is:
Qs=Cs×V=2.5 μF×50 V=125 μCQ_s = C_s \times V = 2.5\ \mu\text{F} \times 50\text{ V} = 125\ \mu\text{C}
Since C1,C2,C3C_1, C_2, C_3, and C4C_4 are in series, they each carry the same charge QsQ_s.
Therefore, charge on C1,C2,C3,C4=125 μCC_1, C_2, C_3, C_4 = 125\ \mu\text{C}.

The voltage across capacitor C5C_5 is also 50 V50\text{ V}.
The charge on C5C_5 is:
Q5=C5×V=2.5 μF×50 V=125 μCQ_5 = C_5 \times V = 2.5\ \mu\text{F} \times 50\text{ V} = 125\ \mu\text{C}

Thus, the equivalent capacitance is 5 μF5\ \mu\text{F} and the charge on all capacitors is 125 μC125\ \mu\text{C}.

Answer: 5 μF5\ \mu F, 125 μC125\ \mu C on all capacitors
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