Physics 198 Lecture Notes - Lecture 4: Capacitor, Intelligence Quotient, Cross Product
Document Summary
Qeq = q1 + q2 = c1v1 + c2v2 = veq (c1 + c2) = veq ceq. Veq = v1 + v2 = q/c1 + q/c2 = q/ceq. Circuit with a battery, resistor, and a capacitor: V = ir (for a resistor or bulb) V_b - ir - q/c = 0 at t = 0 + e v_c = 0 v_r = v_b = ir -> v_b/r at t = infinity v_c = v_b, so v_r = 0, so i = 0. V2 ( t -> infinity) = i_f * r2 = v_b * r2 / (r1 + r2) Kvc: v_b = v1 + v2 = i1r1 + i2r2 = i1r1 + q/c. Kcl: i1 = i2 + dq/dt x* = dx/dt. V_b = r1(i2 + dq/dt) + q/c = r1(q/(r2c) + q*) + q/c. V_b = ((r1/(r2) + 1) q + cr1q* 0 = (1 + r1/r2) q* + r1c q** i = q*
