C=1мкФ U=10В w-? q-?

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