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\(R_{tđ}=\dfrac{R_1.R_2}{R_1+R_2}=\dfrac{40.60}{40+60}=24\left(\Omega\right)\)
\(I=\dfrac{U}{R_{tđ}}=\dfrac{120}{24}=5\left(A\right)\)
\(U=U_1=U_2=120\left(V\right)\)
\(\left\{{}\begin{matrix}I_1=\dfrac{U_1}{R_1}=\dfrac{120}{40}=3\left(A\right)\\I_2=\dfrac{U_2}{R_2}=\dfrac{120}{60}=2\left(A\right)\end{matrix}\right.\)
\(R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{40\cdot60}{40+60}=24\Omega\)
\(I=\dfrac{U}{R}=\dfrac{120}{24}=5A\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{U}{R_1}=\dfrac{120}{40}=3A\)
\(I_2=5-3=2A\)
a, khi K mở \(=>[\left(R1ntR2\right)//\left(R3ntR4\right)]ntR5\)
ampe kế chỉ 0,5A\(=>I\left(A\right)=Im=I5=I1234=0,5A\)
\(=>U5=I5.R5=0,5.15=7,5V\)
\(=>U1234=Um-U5=12-7,5=4,5V\)
\(=>R1234=\dfrac{U1234}{I1234}=\dfrac{\left(R1+R2\right)\left(R3+R4\right)}{R1+R2+R3+R4}\)
\(< =>\dfrac{4,5}{0,5}=\dfrac{\left(12+R2\right)\left(4+8\right)}{24+R2}=9=>R2=24\left(om\right)\)
a, \(I_1=I_3=2I_2\)
\(I_2=\dfrac{7,8}{12}=0,65\left(A\right)\) \(\Rightarrow I_3=I_1=1,3\left(A\right)\)
\(\Rightarrow U_3=7,8-U_1=7,8-1,3.4=2,6\left(V\right)\)
\(\Rightarrow R_3=\dfrac{2,6}{1,3}=2\left(\Omega\right)\)
b, k đóng ta có mạch (R1//R2)nt(R3//R4)
\(\Rightarrow R_{tđ}=\dfrac{4.6}{10}+\dfrac{2.6}{8}=3,9\left(\Omega\right)\)
\(\Rightarrow I_k=\dfrac{7,8}{3,9}=2\left(A\right)\)
\(\Rightarrow U_{12}=\dfrac{4.6}{10}=2,4\left(V\right)\)
\(\Rightarrow U_{34}=2.1,5=3\left(V\right)\)
\(\Rightarrow I_1=\dfrac{2,4}{4}=0,6\left(A\right);I_2=\dfrac{2,4}{6}=0,4\left(A\right)\)
\(\Rightarrow I_3=\dfrac{3}{2}=1,5\left(A\right);I_4=\dfrac{3}{6}=0,5\left(A\right)\)
18.\(\)\(=>I1=\dfrac{U}{R1}=\dfrac{16}{4R2}=\dfrac{4}{R2}A,\)
\(=>I2=\dfrac{U}{R2}=\dfrac{16}{R2}\left(A\right)\)
\(=>I2=I1+6< =>\dfrac{16}{R2}=\dfrac{4}{R2}+6< =>R2=2\left(ôm\right)\)
\(=>I1=\dfrac{4}{2}=2A,=>I2=2+6=8A\)
\(=>R1=4R2=8\left(ôm\right)\)
19
\(I2=1,5I1< =>\dfrac{U}{R2}=\dfrac{1,5U}{R1}=>\dfrac{1}{R2}=\dfrac{1,5}{R1}\)
\(< =>\dfrac{1}{R2}=\dfrac{1,5}{R2+5}=>R2=10\left(ôm\right)=>R1=R2+5=15\left(ôm\right)\)
a) điện trở tương đương của đoạn mạch
Rtđ = R1 + R2 =10 + 20= 30 (Ω)
Cường độ dòng điện chạy qua đoạn mạch
I = \(\dfrac{U}{Rtđ}=\dfrac{6}{30}=0,2\left(A\right)\)