====== VI. Direct-current circuits ====== ===== - Electromotive force ===== Electrons move in the direction opposite to current. {{:courses:phy102:6-2.jpeg?nolink|}} ===== - Resistors in series and parallel ===== {{:courses:phy102:6-3.jpeg?nolink|}} $$ V - V_1 - V_2 - V_3 = 0 \Rightarrow IR = IR_1+IR_2+IR_3 $$ $$ R_s = R_1+R_2+R_3 $$ {{:courses:phy102:6-4.jpeg?nolink|}} $$ I = I_1 + I_2 \Rightarrow \frac{V}{R_p} = \frac{V}{R_1} + \frac{V}{R_2} $$ $$ \frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} $$ {{:courses:phy102:6-5.jpeg?nolink|}} ===== - Kirchhoff's rules ===== ==== - First rule ==== {{:courses:phy102:6-6.jpeg?nolink|}} ==== - Second rule ==== {{:courses:phy102:6-7.jpeg?nolink|}} {{:courses:phy102:6-8.jpeg?nolink|}} ==== - Applying ==== {{:courses:phy102:6-9.jpeg?nolink|}} ===== - Electrical measuring instruments ===== ===== - RC circuits ===== {{:courses:phy102:6-11.jpeg?nolink|}} $$ \varepsilon - IR - \frac{q}{C} = 0 \Rightarrow \varepsilon - R\frac{dq}{dt} - \frac{q}{C} = 0 $$ $$ \frac{dq}{dt} = \frac{C\varepsilon-q}{RC} \Rightarrow \int $$ {{:courses:phy102:6-12.jpeg?nolink|}} {{:courses:phy102:6-13.jpeg?nolink|}}