Chứng minh: Rtđ=1/r1+1/R2+1/R3
2 Xem trả lời
117 Tham khảo câu trả lời từ Trợ lý ảo Lazi Ta có: Rtđ = 1 / (1/r1 + 1/R2 + 1/R3) Để chứng minh công thức trên, ta sẽ chứng minh bằng cách nhân cả hai vế của phương trình với (1/r1 + 1/R2 + 1/R3). Rtđ * (1/r1 + 1/R2 + 1/R3) = 1 Áp dụng quy tắc nhân đại số, ta có: Rtđ * (1/r1 + 1/R2 + 1/R3) = (1/r1) * Rtđ + (1/R2) * Rtđ + (1/R3) * Rtđ = Rtđ/r1 + Rtđ/R2 + Rtđ/R3 = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2) / (r1 * R2 * R3) = (Rtđ * R2 * R3 + Rtđ * R1 * R3 + Rtđ * R1 * R2)