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Zorluk: OrtaCapacitors

An electronics technician is testing an optical pulse circuit and measures that a capacitor stores an electrostatic charge of 450 μC450\text{ }\mu\text{C} when connected across a potential difference of 15 V15\text{ V}. What is the capacitance of this component?

  1. A
    6750 μF6{}750\text{ }\mu\text{F}
  2. B
    30 μH30\text{ }\mu\text{H}
  3. 30 μF30\text{ }\mu\text{F}Cevap
  4. D
    0.03 μF0.03\text{ }\mu\text{F}

Cevap

30 μF30\text{ }\mu\text{F}
Capacitance is defined by the fundamental relationship C=QVC = \frac{Q}{V}. Dividing the stored charge of 450 μC450\text{ }\mu\text{C} by the applied potential difference of 15 V15\text{ V} yields 30 μF30\text{ }\mu\text{F}.

Adım Adım Çözüm

1
Identify the relationship between charge, capacitance, and voltage
The governing equation is Q=C×VQ = C \times V, which rearranges to C=QVC = \frac{Q}{V}.
Capacitance is defined as the amount of electric charge stored per unit of electrical potential difference.
2
Substitute the given values into the formula and solve for capacitance
C=450 μC15 V=30 μFC = \frac{450\text{ }\mu\text{C}}{15\text{ V}} = 30\text{ }\mu\text{F}
Dividing the charge in microcoulombs by the potential difference in volts directly yields the capacitance in microfarads.

Anahtar Kavram

The capacitance (CC) of a component is the ratio of electric charge (QQ) stored on its plates to the applied voltage (VV), measured in Farads (F).
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