A resistor, a capacitor, a battery and a switch are connected to a circuit. The capacitor will be charged from the empty state to the full state.
During the period in which the capacitor is charged, how much thermal heat is emitted from the resistor?
[tex]C = 2 \mu F[/tex]
[tex]R = 2 \Omega[/tex]
[tex]E = 6 V[/tex]
[tex]U = RI [/tex]
[tex]Q = CV[/tex]
The Attempt at a Solution
The amount of charge stored in the capacitor is: 6 V * 2 [tex]\mu F[/tex] = 12 [tex]\mu C [/tex].
The amount of work done by the battery is 12 [tex]\mu C [/tex]* 6 V *1/2 = 36 [tex]\mu J [/tex], during charging.
The amout of heat is (wrongly) 3/4 * 36 [tex] \mu J [/tex].