* th1: khi K đóng\(=>R1//\left[R2nt(Rđ//R3)\right]\)

\(=>U=U\left(23đ\right)=U1=90V\)

\(=>I1=\dfrac{U1}{R1}=\dfrac{90}{45}=2\left(A\right)\)

\(=>R\left(3đ\right)=\dfrac{R3.Rđ}{R3+Rđ}=\dfrac{45Rđ}{45+Rđ}\)

\(=>I\left(đ\right)=\dfrac{U3}{Rđ}=\dfrac{R3.I\left(23đ\right)}{Rđ}=\dfrac{45}{Rđ}.I\left(23đ\right)\)

\(=\dfrac{45}{Rđ}.\dfrac{U}{R\left(23đ\right)}=\dfrac{45}{Rđ}.\dfrac{90}{R2+\dfrac{R3.Rđ}{R3+Rđ}}=\dfrac{45}{Rđ}.\dfrac{90}{90+\dfrac{45Rđ}{45+Rđ}}\left(1\right)\)

Th2:: khi K mở\(=>R3nt\left[R2//\left(R1ntRđ\right)\right]\)

\(=>Rtd=\dfrac{\left(R1+Rđ\right)R2}{R1+R2+Rđ}+R3=\dfrac{\left(45+Rđ\right)90}{135+Rđ}+45\)

\(=\dfrac{4050+6075+90Rđ+45Rđ}{135+Rđ}=\dfrac{10125+135Rđ}{135+Rđ}\left(om\right)\)

\(=>I\left(đ\right)=Im-I2=\dfrac{U}{Rtđ}-\dfrac{U2}{R2}\)

\(=\dfrac{90\left(135+Rđ\right)}{10125+135Rđ}-\dfrac{90-U3}{90}\)

\(=\dfrac{90\left(135+Rđ\right)}{10125+135Rđ}-1+\dfrac{Im.R3}{90}\)

\(=\dfrac{90\left(135+Rđ\right)}{10125+135Rđ}-1+\dfrac{\dfrac{90.45\left(135+Rđ\right)}{10125+135Rđ}}{90}\left(2\right)\)

(1)(2)

\(=>\dfrac{90\left(135+Rđ\right)}{10125+135Rđ}-1+\dfrac{\dfrac{90.45\left(135+Rđ\right)}{10125+135Rđ}}{90}=\dfrac{45.90}{Rđ.\left(90+\dfrac{45Rđ}{45+Rđ}\right)}\)

\(=>Rđ=95,4\left(om\right)\)

trong tính toán có thể bị sai sót nên mong bạn kiểm tra cho kĩ, cách làm như vậy

bài này hôm nọ tui làm rồi nhưng hơi nhầm lẫn ở TH1:

*TH1: K đóng \(=>R1//\left[R2nt\left(Rđ//R3\right)\right]\)

\(=>I\left(đ\right)=\dfrac{U3}{Rđ}=\dfrac{90-U2}{Rđ}=\dfrac{90-I2.R2}{Rđ}\)

\(=\dfrac{90-\dfrac{90.90}{R2+\dfrac{Rđ.R3}{Rđ+R3}}}{Rđ}=\dfrac{90-\dfrac{90.90}{90+\dfrac{45Rđ}{45+Rđ}}}{Rđ}\left(1\right)\)

TH2: K đóng bn làm y nguyên như bài hôm trc của mình:

từ(1)(2)\(=>\dfrac{90-\dfrac{90.90}{90+\dfrac{45Rđ}{45+Rđ}}}{Rđ}=\dfrac{90\left(135+Rđ\right)}{10125+135Rđ}-1+\dfrac{\dfrac{90.45\left(135+Rđ\right)}{10125+135Rđ}}{90}\)

\(=>Rđ=15\left(ôm\right)\)(3)

thế(3) vào(1)\(=>I\left(đ\right)=\dfrac{2}{3}A\)\(=>U\left(đ\right)=\dfrac{2}{3}.15=10V\)

a)Khóa \(K_1\) đóng, khóa \(K_2\) mở ta có CTM: \(\left(R_1ntR_2\right)//R_3\)

\(I_A=I_m=1A\)

\(R_{12}=R_1+R_2=5+5=10\Omega\)

\(R_{tđ}=\dfrac{R_{12}\cdot R_3}{R_{12}+R_3}=\dfrac{10\cdot15}{10+15}=6\Omega\)

\(U=R_{tđ}\cdot I=6\cdot1=6V=U_{12}=U_3\)

\(I_1=I_2=I_{12}=\dfrac{U_{12}}{R_{12}}=\dfrac{6}{10}=0,6A\)

\(I_3=1-0,6=0,4A\)

b)Khóa \(K_1\) mở và khóa \(K_2\) đóng ta có CTM: \(R_2//\left(R_1ntR_3\right)\)

\(R_{13}=R_1+R_3=5+15=20\Omega\)

\(R_{tđ}=\dfrac{R_2\cdot R_{13}}{R_2+R_{13}}=\dfrac{5\cdot20}{5+20}=4\Omega\)

\(I_A=\dfrac{U}{R_{tđ}}=\dfrac{6}{4}=1,5A\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{U}{R_2}=\dfrac{6}{15}=0,4A\)

\(I_1=I_3=I_{13}=I-I_2=1,5-0,4=1,1A\)

Bạn tham khảo nhé!
Nguồn: Hoidap247

ta thấy \(\dfrac{R_1}{R_2}=\dfrac{R_3}{R_4}=2\) => mạch cầu cân bằng => I5=0 U5=0

khi K đóng \(R_{1234}=\dfrac{\left(R_1+R_3\right)\left(R_2+R_4\right)}{R_1+R_2+R_3+R_4}=4\left(\Omega\right)\)

\(R_{td}=\dfrac{R_6.R_{1234}}{R_6+R_{1234}}\)

\(\Rightarrow I_A=I=\dfrac{U_{AB}}{R_{td}}=\dfrac{48}{2}=24\left(A\right)\)

em đang ôn hsg lí 9 à :???

a. \(R=R1+\left(\dfrac{R2.R3}{R2+R3}\right)=2+\left(\dfrac{6.3}{6+3}\right)=4\left(\Omega\right)\)

b. \(I=I1=I23=\dfrac{U}{R}=\dfrac{12}{4}=3A\left(R1ntR23\right)\)

\(U23=U2=U3=I13.R23=3\left(\dfrac{6.3}{6+3}\right)=6\left(V\right)\)(R2//R3)

\(\left\{{}\begin{matrix}I2=U2:R2=6:6=1A\\I3=U3:R3=6:3=2A\end{matrix}\right.\)

c. \(U_d=U_{23}=6V\Rightarrow\) đèn sáng bình thường.