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Zorluk: KolayCapacitors

A technician connects a 10 μF10\text{ }\mu\text{F} capacitor in parallel with a 22 μF22\text{ }\mu\text{F} capacitor in a power supply filter circuit. What is the total equivalent capacitance of this combination in microfarads (μF\mu\text{F})?

Cevap: 32 uF

Cevap

32 uF
When capacitors are connected in parallel, their total capacitance is the direct sum of the individual capacitances: Ctotal=C1+C2C_{\text{total}} = C_1 + C_2. Adding 10 μF10\text{ }\mu\text{F} and 22 μF22\text{ }\mu\text{F} results in a total equivalent capacitance of 32 μF32\text{ }\mu\text{F}.

Adım Adım Çözüm

1
Identify the circuit configuration and the relevant formula for equivalent capacitance.
The two capacitors are connected in parallel, meaning their total capacitance is the sum of their individual capacitances: Ctotal=C1+C2C_{\text{total}} = C_1 + C_2.
Connecting capacitors in parallel effectively increases the total plate surface area, allowing more electric charge to be stored at a given voltage.
2
Calculate the sum of the individual capacitances.
Ctotal=10 μF+22 μF=32 μFC_{\text{total}} = 10\text{ }\mu\text{F} + 22\text{ }\mu\text{F} = 32\text{ }\mu\text{F}.
Direct addition yields the total equivalent capacitance.

Anahtar Kavram

Total capacitance in a parallel circuit is calculated by directly adding the individual capacitances (Ctotal=C1+C2+…C_{\text{total}} = C_1 + C_2 + \dots).
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