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Задача Задача №2605642
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Аноним
09 января 2025 08:12 · публичный вопрос
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Аноним

C=1мкФ U=10В w-? q-?

Ответ нейросети
09 января 2025 08:12

To find the values of \( w \) (energy stored in the capacitor) and \( q \) (charge on the capacitor), you can use the following formulas related to capacitors.

  1. Charge \( q \) on a capacitor is given by the formula: \[ q = C \cdot U \] where:

    • \( C \) is the capacitance in farads (F)
    • \( U \) is the voltage in volts (V)
  2. Energy \( w \) stored in a capacitor is given by the formula: \[ w = \frac{1}{2} C U^2 \]

Now, substituting your values:

  1. Given:

    • \( C = 1 \, \mu\text{F} = 1 \times 10^{-6} \, \text{F} \)
    • \( U = 10 \, \text{V} \)
  2. Calculate \( q \): \[ q = (1 \times 10^{-6} \, \text{F}) \cdot (10 \, \text{V}) = 1 \times 10^{-5} \, \text{C} = 10 \, \mu\text{C} \]

  3. Calculate \( w \): \[ w = \frac{1}{2} (1 \times 10^{-6} \, \text{F}) (10 \, \text{V})^2 \] \[ w = \frac{1}{2} (1 \times 10^{-6} \, \text{F}) (100 \, \text{V}^2) = \frac{1}{2} \times 1 \times 10^{-4} \, \text{J} = 0.5 \times 10^{-4} \, \text{J} = 5 \times 10^{-5} \, \text{J} = 50 \, \text{μJ} \]

In summary:

  • \( q = 10 \, \mu\text{C} \)
  • \( w = 50 \, \mu\text{J} \)