NEET
- Exam
- NEET
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- Physics
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- Capacitance
NEET · Physics · Capacitance
A circuit consists of three capacitors C_1 = 2\ , C_2 = 3\ , and...
A circuit consists of three capacitors , , and connected in parallel. This entire parallel combination is connected in series with a fourth capacitor across an unknown DC voltage source . If the charge on capacitor is , the total voltage of the source and the charge on capacitor respectively are:
Options
- A and
- B and
- C and
- D and
Correct answer
A. and
Step-by-step solution
The capacitors , and are connected in parallel. The voltage across this parallel combination is the same for each capacitor.
Voltage across the parallel group, .
The equivalent capacitance of the parallel group is:
.
The total charge on the parallel group is:
.
Since capacitor is connected in series with the parallel group, it carries the same total charge as the parallel group.
Therefore, the charge on is .
The voltage across is:
.
The total voltage of the source is the sum of the voltages across the parallel group and :
.
Answer: and
Voltage across the parallel group, .
The equivalent capacitance of the parallel group is:
.
The total charge on the parallel group is:
.
Since capacitor is connected in series with the parallel group, it carries the same total charge as the parallel group.
Therefore, the charge on is .
The voltage across is:
.
The total voltage of the source is the sum of the voltages across the parallel group and :
.
Answer: and