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Capacitors in Series
Capacitors are in series when they are connected end-to-end so that the same charge magnitude appears on each capacitor in the ideal series chain.
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Capacitors in Series
What is it?
Capacitors are in series when they are connected end-to-end so that the same charge magnitude appears on each capacitor in the ideal series chain.
In simple words
- Series equivalent capacitance is less than any individual capacitance.
Recommended for Class 12
Full school-level explanation
Capacitors are in series when they are connected end-to-end so that the same charge magnitude appears on each capacitor in the ideal series chain.
Two Capacitors
For series capacitors: Q₁=Q₂=...=Q Total voltage: V=V₁+V₂+... Using: Vᵢ=QCᵢ we get: V=Q(1C₁+1C₂+...) Since: V=QCeq therefore: 1Ceq = 1C₁ + 1C₂ + ... Ceq = C₁C₂/(C₁+C₂)
Important Result
Series equivalent capacitance is smaller than the smallest individual capacitance.
Voltage Division
Since: Vᵢ=QCᵢ the smaller capacitance has the larger voltage across it in a series chain carrying equal charge.
Formula / Key Relation
**1Ceq=Σ1Cᵢ** For two: **Ceq=C₁C₂/(C₁+C₂)**
Remember
- Ceq = C₁C₂/(C₁+C₂)
- smaller than the smallest individual capacitance
- Vᵢ=QCᵢ
- 1Ceq=Σ1Cᵢ
- Ceq=C₁C₂/(C₁+C₂)
Deeper understanding
Go deeper on Capacitors in Series: connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
SERIES
Exam focus
Quick revision
- Ceq = C₁C₂/(C₁+C₂)
- smaller than the smallest individual capacitance
- Vᵢ=QCᵢ
- 1Ceq=Σ1Cᵢ
- Two Capacitors: For series capacitors: Q₁=Q₂=...=Q Total voltage: V=V₁+V₂+... Using: Vᵢ=QCᵢ we ge
- Important Result: Series equivalent capacitance is smaller than the smallest individual capacitance.
For long answers on Capacitors in Series: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- Ceq = C₁C₂/(C₁+C₂)
- smaller than the smallest individual capacitance
- Vᵢ=QCᵢ
- 1Ceq=Σ1Cᵢ
Important formulas
- Ceq = C₁C₂/(C₁+C₂)
- smaller than the smallest individual capacitance
- Vᵢ=QCᵢ
Common exam traps
- Do not add series capacitances directly.
- Do not say the largest capacitance gets the largest series voltage; at equal Q, voltage is inversely proportional to C.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not add series capacitances directly.
- Mistake
Do not say the largest capacitance gets the largest series voltage; at equal Q, voltage is inversely proportional to C.
- Mistake
Do not add series capacitances directly.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
Ceq = C₁C₂/(C₁+C₂)
smaller than the smallest individual capacitance
Vᵢ=QCᵢ
1Ceq=Σ1Cᵢ
Capacitors are in series when they are connected end-to-end so that the same charge magnitude appears on each capacitor in the ideal series chain.
Ceq = C₁C₂/(C₁+C₂)
- Definition
- Capacitors are in series when they are connected end-to-end so that the same charge magnitude appears on each capacitor in the ideal series chain.
- Formula
- Ceq = C₁C₂/(C₁+C₂)
- Critical warning
- Do not add series capacitances directly.
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Exam Practice
Define
Q1. Define Capacitors in Series.
Explain
Q2. Explain: Two Capacitors.
Example
Q3. Give one clear example of Capacitors in Series and say why it fits.
Mistake
Q4. State one common mistake students make about Capacitors in Series.
Exam note
Q5. Write a short exam note on Capacitors in Series: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.