\(R=R1+\left(\dfrac{R2.R3}{R2+R3}\right)=10+\left(\dfrac{20.30}{20+30}\right)=22\left(\Omega\right)\)

Điện trở tương đương:

 \(R_{tđ}=R_1+\dfrac{R_2\cdot R_3}{R_2+R_3}=10+\dfrac{20\cdot30}{20+30}=22\Omega\)

Đáp án B

Điện trở tương đương của 3 điện trở song song:

Vậy R Đ   =   16 / 7

Bài 3:

a. Cần mắc vào HĐT 220V để sáng bình thường.

b. \(I=P:U=1100:220=5A\)

c. \(A=Pt=1100.2.30=66000\)Wh = 66kWh = 237 600 000J

d. \(R=p\dfrac{l}{S}\Rightarrow l=\dfrac{R.S}{p}=\dfrac{\left(220:5\right).0,45.10^{-6}}{1,10.10^{-6}}=18\left(m\right)\)

Bài 4:

a. \(Q_{toa}=A=I^2Rt=2,4^2\cdot120\cdot25=17280\left(J\right)\)

b. \(Q_{thu}=mc\Delta t=1.4200.75=315000\left(J\right)\)

\(H=\dfrac{Q_{thu}}{Q_{toa}}100\%=\dfrac{17280}{315000}100\%\approx5,5\%\)

Baì 1:

a. \(R=R1+R2=4+6=10\Omega\)

\(I=I1=I2=U:R=18:10=1,8A\left(R1ntR2\right)\)

b. \(R1nt\left(R2\backslash\backslash\mathbb{R}3\right)\)

 \(R'=R1+\left(\dfrac{R2.R3}{R2+R3}\right)=4+\left(\dfrac{6.12}{6+12}\right)=8\Omega\)

\(I'=U:R'=18:8=2,25A\)

Bài 2:

a. \(R=\dfrac{R1.R2}{R1+R2}=\dfrac{15.10}{15+10}=6\Omega\)

b. \(U=U1=U2=18V\left(R1\backslash\backslash\mathbb{R}2\right)\)

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

Mình tính ra là 54,25% ý.

\(R1//R2\Rightarrow Rtd=\dfrac{R1R2}{R1+R2}=24\Omega\Rightarrow Im=\dfrac{U}{Rtd}=\dfrac{12}{24}=0,5A\)

\(\Rightarrow R2//\left(R1ntR3\right)\Rightarrow Im=\dfrac{U}{\dfrac{R2\left(R1+R3\right)}{R2+R1+R3}}=0,4A\)

\(\Rightarrow\dfrac{1}{Rtd}=\dfrac{1}{R1}+\dfrac{1}{R2}+....+\dfrac{1}{R2021}\)

\(\Rightarrow\dfrac{1}{Rtd}=\dfrac{1}{1}+\dfrac{1}{\dfrac{1}{2}}+\dfrac{1}{\dfrac{1}{3}}+....+\dfrac{1}{\dfrac{1}{2021}}\)

\(\Rightarrow\dfrac{1}{Rtd}=1+2+3+....+2021\)

 \(A=1+2+3+....+2021\)

\(A=2021+2020+2019+...+1\)

\(\Rightarrow2A=2022+2022+...+2022\)(co 2021 so 2022)

\(\Rightarrow2A=2022.2021\Rightarrow A=\dfrac{2022.2021}{2}=2043231\)

\(\Rightarrow\dfrac{1}{Rtd}=A\Rightarrow Rtd=4,89.10^{-7}\left(\Omega\right)\)

R1//R2//R3

a,\(\Rightarrow\dfrac{1}{RTt}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}\Rightarrow Rtd=12,5\Omega\)

b,\(\Rightarrow\left\{{}\begin{matrix}I1=\dfrac{37,5}{25}=1,5A\\I2=\dfrac{37,5}{50}=0,75A\\I3=\dfrac{37,5}{50}=0,75A\end{matrix}\right.\)\(\Rightarrow Im=\dfrac{37,5}{Rtd}=3A\)

Điện trở tương đương của mạch:

Ta có: \(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\Leftrightarrow R_{tđ}=\dfrac{R_1R_2}{R_1+R_2}=\dfrac{10.30}{10+30}=7,5\left(\Omega\right)\)

\(R_1ntR_2\)

a) \(R_{tđ}=R_{12}=R_1+R_2=10+15=25\Omega\)

b) \(I_1=I_2=I_m=\dfrac{U}{R_{tđ}}=\dfrac{7,5}{25}=0,3A\)

    \(\Rightarrow\left\{{}\begin{matrix}U_1=I_1\cdot R_1=0,3\cdot10=3V\\U_2=7,5-3=4,5V\end{matrix}\right.\)

c) Nếu mắc thêm R₃=5Ω thì \(\left(R_1ntR_2\right)//R_3\)

    \(R=\dfrac{R_3\cdot R_{12}}{R_3+R_{12}}=\dfrac{5\cdot25}{5+25}=\dfrac{25}{6}\Omega\)

    \(I=\dfrac{7,5}{\dfrac{25}{6}}=1,8A\)

    \(U_3=U_{12}=U_m=7,5V\)

    \(\Rightarrow\) \(I_3=\dfrac{7,5}{5}=1,5A\) \(\Rightarrow I_1=I_2=I_{12}=1,8-1,5=0,3A\)

a)\(R_1//R_2\Rightarrow R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{15\cdot20}{15+20}=\dfrac{60}{7}\Omega\approx8,6\Omega\)

\(U_1=U_2=U=6V\)

\(I_1=\dfrac{U_1}{R_1}=\dfrac{6}{15}=0,4A\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{6}{20}=0,3A\)

b)\(I_m=I_1+I_2=0,4+0,3=0,7A\)

Để cường độ dòng điện gấp đôi: \(I_m'=1,4A\)

Khi đó: \(R_{tđ}'=\dfrac{U}{I'}=\dfrac{6}{1,4}=\dfrac{30}{7}\Omega< R_{tđ}\)

Như vậy mắc nối tiếp \(R_3\) vào mạch.

\(R_3=\dfrac{60}{7}-\dfrac{30}{7}=\dfrac{30}{7}\Omega\)