* 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