Chương I- Điện học

\(I_{V1}=\dfrac{U_1}{R_V};I_{V2}=\dfrac{U_2}{R_V};I_{V3}=\dfrac{U_3}{R_V}\)
\(U_2=\left(2R+R_V\right)I_{V1}=\left(2R+R_V\right)\cdot\dfrac{U_1}{R_V}=U_1\left(\dfrac{2R}{R_V}+1\right)\Leftrightarrow\dfrac{R}{R_V}=\dfrac{\dfrac{U_2}{U_1}-1}{2}\left(1\right)\)
\(U_3=2R\left(I_{V1}+I_{V2}\right)+U_2=2R\left(\dfrac{U_1+U_2}{R_V}\right)+U_2=\dfrac{R}{R_V}\cdot2\left(U_1+U_2\right)+U_2\left(2\right)\)
\(\left(1\right)\left(2\right)\Rightarrow U_3=\left(\dfrac{U_2}{U_1}-1\right)\left(U_1+U_2\right)+U_2\)
thay số ta được: \(5=\left(U_2-1\right)\left(U_2+1\right)+U_2=U^2_2+U_2-1\Leftrightarrow U^2_2+U_2-6=0\Leftrightarrow\left[{}\begin{matrix}U_2=2V\\U_2=-3\left(loại\right)\end{matrix}\right.\)
\(U_4=2R\left(I_{V1}+I_{V2}+I_{V3}\right)+U_3\)
\(\Leftrightarrow U_4=\dfrac{2R}{R_V}\left(U_1+U_2+U_3\right)+U_3\)
\(\Leftrightarrow U_4=\left(\dfrac{U_2}{U_1}-1\right)\left(U_1+U_2+U_3\right)+U_3\)
\(\Leftrightarrow U_4=\left(2-1\right)\left(1+2+5\right)+5=13V\)
 

a) \(R_Đ=\dfrac{U^2}{P}=\dfrac{10^2}{10}=10\left(ÔM\right)\)

\(R_{TĐ}=\dfrac{R_1.R_2}{R_1+R_2}+R_Đ=\dfrac{8.7}{8+7}+10=13,73\left(ÔM\right)\)

b)

\(U_{12}=U_1=U_2=R_{12}.I=3,73.1,8=6,71\left(V\right)\)

\(\Rightarrow P_1=\dfrac{U^2_1}{R_1}=\dfrac{6,71^2}{8}=5,63\left(W\right)\)

\(\Rightarrow A_1=P_1.t=5,63.600=3378\left(J\right)\)  ( Đổi \(10P=600s\))

c)

\(P_2=\dfrac{U_2^2}{R_2}=\dfrac{6,71^2}{7}=6,43\left(W\right)\)

\(\Rightarrow\) \(P_1< P_2\)

a)

\(R_{TĐ}=\dfrac{R_1.R_2}{R_1+R_2}+R_3=\dfrac{7.12}{7.12}+18=22,42\left(ÔM\right)\)

\(\Rightarrow U=R_{TĐ}.I=22,42.2=44,84\left(V\right)\)

b)

\(U_1=U_2=U_{23}=I.R_{23}=\)\(2.4,42=8,84\left(V\right)\)

\(\Rightarrow I_1=\dfrac{U_1}{R_1}=\dfrac{8,84}{7}=1,26\left(A\right)\)

\(\Rightarrow I_2=\dfrac{U_2}{R_2}=\dfrac{8,84}{12}=0,74\left(A\right)\)

bạn ơi mạch nối tiếp hay song song

giúp mình b1,b2 với=))

R\(_{_{ }Đ1}\)= \(\dfrac{u^2}{P}\)= \(^{\dfrac{220^2}{100}}\)=484

R\(_{Đ2}\)=\(\dfrac{U^2}{P}\)= \(\dfrac{220^2}{40}\)=1210