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PRACTICE / RC transients

Where does the battery energy go?

An initially uncharged 25 μF capacitor charges fully from an ideal 12 V battery through a resistor.

Find the total energy dissipated in the resistor.

Organize the givens & assumptions
  • C = 25 μF
  • Source voltage: 12 V
  • Initial capacitor charge: zero
  • Final state: charging complete

Ideal constant-voltage source, fixed positive resistance, negligible radiation and leakage; wait until charging is effectively complete.

  1. A00
  2. B0.9 mJ0.9\ \mathrm{mJ}
  3. C1.8 mJ1.8\ \mathrm{mJ}
  4. D3.6 mJ3.6\ \mathrm{mJ}

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