MCD: R1//R2

a,\(U_1=U_2=U=12\left(V\right)\)

\(I_1=\dfrac{U_1}{R_1}=\dfrac{12}{10}=1,2\left(A\right)\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{12}{15}=0,8\left(A\right)\)

 b,MCD: Rđ nt (R1//R2)

\(R_{12}=\dfrac{R_1R_2}{R_1+R_2}=\dfrac{10\cdot15}{10+15}=6\left(\Omega\right)\)

\(R_đ=\dfrac{U_{đmđ}}{I_{đmđ}}=\dfrac{6}{0,6}=10\left(\Omega\right)\)

\(R_{tđ}=R_đ+R_{12}=10+6=16\left(\Omega\right)\)

\(I_đ=I_{12}=I=\dfrac{U}{R_{tđ}}=\dfrac{12}{16}=0,75\left(A\right)\)

Vậy đèn sáng mạnh hơn so với bình thường

\(U_1'=U_2'=U_{12}=I_{12}\cdot R_{12}=0,75\cdot6=4,5\left(V\right)\)

\(I_1'=\dfrac{U_1'}{R_1}=\dfrac{4,5}{10}=0,45\left(A\right)\)

\(I_2'=\dfrac{U_2'}{R_2}=\dfrac{4,5}{15}=0,3\left(A\right)\)

\(a,R_{tđ}=\dfrac{R_1.R_2}{R1+R_2}=\dfrac{10.15}{10+15}=6\left(\Omega\right)\)

\(I_1=\dfrac{U}{R_1}=\dfrac{12}{10}=1,2\left(A\right)\)

\(b,P=U.I=12.1,2=14,4\left(W\right)\)

c, Độ sáng đèn sẽ giảm đi. U không đổi --> Đèn sẽ sáng yếu đi

a. \(R=R1+R2=30+50=80\Omega\)

\(I=\dfrac{U}{R}=\dfrac{12}{80}=0,15A\)

b. \(U13=U1'=U3=30V\)(R1//R3)

\(I1'=U1':R1=30:30=1A\)

a. \(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}=\dfrac{1}{30}+\dfrac{1}{60}=\dfrac{1}{20}\)

\(\Rightarrow R_{tđ}=20\left(\Omega\right)\)

b. \(I=\dfrac{U}{R}=\dfrac{120}{20}=6\left(A\right)\)

c. \(P=UI=120.6=720\left(W\right)\)

d. \(I'=\dfrac{I}{2}=\dfrac{6}{2}=3\left(A\right)\)

\(R_{tđ}'=\dfrac{U}{I'}=\dfrac{120}{3}=40\left(\Omega\right)\)

Mặt khác: (R₁ // R₂) nt R₃ nên \(R_{tđ}'=R_{12}+R_3\)

\(\Rightarrow R_3=R_{tđ}'-R_{12}=40-20=20\left(\Omega\right)\)

Điện trở mắc song song nên 

Cường độ dòng điện: 

\(R=R1+R2=3+6=9\Omega\)

\(I=I1=I2=2A \left(R1ntR2\right)\)

\(\Rightarrow U=IR=2\cdot9=18V\)

\(\Rightarrow\left\{{}\begin{matrix}U1=I1\cdot R1=2\cdot3=6V\\U2=I2\cdot R2=2\cdot6=12V\end{matrix}\right.\)

\(U3=\sqrt{P3\cdot R3}=\sqrt{15\cdot6}=3\sqrt{10V}\)

Đèn sáng yếu, vì \(U3< U2\left(3\sqrt{10}< 12\right)\)

a)\(R_{tđ}=R_1+R_2=3+6=9\Omega\)

b)\(U=I\cdot R=2\cdot9=18V\)

c)\(I_{Đđm}=\dfrac{P_Đ}{U_Đ}=\dfrac{15}{6}=2,5A\)

   \(R_Đ=\dfrac{U_Đ^2}{P_Đ}=\dfrac{6^2}{15}=2,4\Omega\)

   \(R_1nt\left(R_2//R_Đ\right)\)

  \(R_{2Đ}=\dfrac{R_2\cdot R_Đ}{R_2+R_Đ}=\dfrac{6\cdot2,4}{6+2,4}=\dfrac{12}{7}\Omega\)

   \(U_Đ=U_{2Đ}=\dfrac{12}{7}\cdot2=\dfrac{24}{7}V< U_{Đđm}=6V\)

   Đèn sáng yếu hơn so với bình thường.

\(R_Đ=\dfrac{U^2_Đ}{P_Đ}=\dfrac{220^2}{100}=484\Omega\)

\(R_{tđ}=R_Đ+R_1+R_2=484+100+50=634\Omega\)

\(I_1=I_2=I_Đ=I_m=\dfrac{220}{634}=\dfrac{110}{317}A\approx0,35A\)

Rtđ = R1 + R2 = 30 + 40 = 70 ôm

I2 = U2 : R2 = 1.2 /40 = 0.03 A

I = I1 = I2 = 0.03 A

(R1 nt R2 nt R3 )

Rtđ = R1 + R2 +R3 = 30+40+30 = 100 ôm