a. \(R=R1+R2=10+20=30\Omega\)

b. \(I1=I2=I=\dfrac{U}{R}=\dfrac{9}{30}=0,3A\left(R1ntR2\right)\)

c. \(R'=\dfrac{R3\cdot\left(R1+R2\right)}{R3+R1+R2}=\dfrac{20\cdot\left(10+20\right)}{20+10+20}=12\Omega\)

\(\Rightarrow I'=\dfrac{U}{R'}=\dfrac{9}{12}=0,75A\)

a)

\(R_{TĐ}=R_1+\dfrac{R_2.R_3}{R_2+R_3}=15+\dfrac{30.30}{30+30}=3O\left(ÔM\right)\)

b)

\(I=I_1=I_{23}=\dfrac{U}{R_{TĐ}}=\dfrac{12}{30}0,4\left(A\right)\)

\(U_{23}=U_2=U_3=I.R_{23}=15.0,4=6\left(V\right)\)

\(I_2=\dfrac{U_3}{R_2}=\dfrac{6}{30}0,2\left(A\right)\)

\(R_2=R_3\left(R_2//R_3\right)\Rightarrow I_3=0,2\left(A\right)\)

\(R=\dfrac{R1\cdot R2}{R1+R2}=\dfrac{15\cdot10}{15+10}=6\Omega\)

\(U=U1=U2=18V\)

\(\Rightarrow\left\{{}\begin{matrix}I1=U1:R1=18:15=1,2A\\I2=U2:R2=18:10=1,8A\end{matrix}\right.\)

\(R'=\dfrac{R1\cdot\left(R2+R3\right)}{R1+R2+R3}=\dfrac{15\cdot\left(10+5\right)}{15+10+5}=7,5\Omega\)

\(\Rightarrow I'=U:R'=18:7,5=2,4A\)

a)\(R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{15\cdot10}{15+10}=6\Omega\)

b)\(U_1=U_2=U_m=18V\)

   \(I_1=\dfrac{U_1}{R_1}=\dfrac{18}{15}=1,2A\)

   \(I_2=\dfrac{U_2}{R_2}=\dfrac{18}{10}=1,8A\)

c)\(R_1//\left(R_2ntR_3\right)\)

   Bạn tự vẽ mạch nhé, mình viết cấu tạo mạch rồi.

   \(R_{23}=R_2+R_3=10+5=15\Omega\)

   \(R_{tđ}=\dfrac{R_{23}\cdot R_1}{R_{23}+R_1}=\dfrac{15\cdot15}{15+15}=7,5\Omega\)

   \(I_m=\dfrac{U_m}{R_{tđ}}=\dfrac{18}{7,5}=2,4A\)

a, \(R1ntR2=>Rtd=R1+R2=10+20=30\left(om\right)\)

b, \(=>Im=\dfrac{U}{Rtd}=\dfrac{12}{30}=0,4A=I1=I2\)

\(=>U1=I1R1=0,4.10=4V\)

\(=>U2=U-U1=12-4=8V\)

c, \(=>R1nt\left(R2//R3\right)\)

\(=>U23=U-U1=12-0,5.10=7V\)

\(=>I1=I23=0,5A\)

\(=>R23=\dfrac{U23}{I23}=\dfrac{7}{0,5}=14\left(om\right)\)

\(=>R23=\dfrac{R2.R3}{R2+R3}=\dfrac{20R3}{20+R3}=14=>R3=47\left(om\right)\)

\(R_{23}=\dfrac{R_2.R_3}{R_2+R_3}=\dfrac{10.15}{10+15}=6\left(\Omega\right)\)

\(R_{tđ}=R_1+R_{23}=9+6=15\left(\Omega\right)\)

\(I=I_1=I_{23}=\dfrac{U}{R_{tđ}}=\dfrac{27}{15}=1,8\left(A\right)\)

\(U_{23}=U_2=U_3=I_{23}.R_{23}=1,8.6=10,8\left(V\right)\)

\(\left\{{}\begin{matrix}I_2=\dfrac{U_2}{R_2}=\dfrac{10,8}{10}=1,08\left(A\right)\\I_3=\dfrac{U_3}{R_3}=\dfrac{10,8}{15}=0,72\left(A\right)\end{matrix}\right.\)

\(R_{23}=\dfrac{R_2\cdot R_3}{R_2+R_3}=\dfrac{10\cdot15}{10+15}=6\Omega\)

\(R_m=R_1+R_{23}=R_1+\dfrac{R_2R_3}{R_2\cdot R_3}=9+\dfrac{10\cdot15}{10+15}=15\Omega\)

\(I_1=I_{23}=I_m=\dfrac{U}{R}=\dfrac{27}{15}=1,8A\)

\(U_2=U_3=U_{23}=I_{23}\cdot R_{23}=6\cdot1,8=10,8V\)

\(\Rightarrow\) \(I_2=\dfrac{U_2}{R_2}=\dfrac{10,8}{10}=1,08A\)

    \(I_3=\dfrac{U_3}{R_3}=\dfrac{10,8}{15}=0,72A\)

a, Rtd=10+30=40\(\Omega\) \(I=\dfrac{U}{R_{tđ}}=\dfrac{12}{40}=0,3\left(A\right)\)

b, \(P_2=I^2R_2=0,9\left(W\right)\)

c, \(Q=I^2.R_{tđ}.18.60=3888\left(J\right)\)

d,\(I_2=\dfrac{3}{5}.0,3=0,18\left(A\right)\) \(\Rightarrow I_3=0,3-I_2=0,12\left(A\right)\) 

\(U_{23}=12-0,3.30=3\left(V\right)\)\(\Rightarrow R_3=\dfrac{3}{0,12}=25\left(\Omega\right)\)

Bài 1R1R2VAB

a) Điện trở tđ toàn mạch là:

R = R₁ + R₂ = 5+10 = 15Ω

b) CĐDĐ chạy qua mạch chính là:

I = I₁ = I₂ = UR=UR= 315=0,2A315=0,2A

c) HĐT giữa 2 đầu R₁ là:

U₁ = I₁R₁ = 0,2.5 = 1V

HĐT giữa 2 đầu R₂ là:

U₂ = U-U₁ = 3-1 = 2V

Bài2

a) CĐDĐ chạy qua đèn là:

I = pU=36=0,5ApU=36=0,5A

Điện trở của đèn là:

R =UI=60,5=12ΩUI=60,5=12Ω

b) CĐDĐ chạy qua đèn là:

I=UR=412≈0,3AUR=412≈0,3A