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a) Điện trở tương đương của đoạn mạch:
\(Rtđ=\dfrac{R1.R2}{R1+R2}=\dfrac{15.10}{15+10}=6\left(\Omega\right)\)
b) Cường độ dòng điện chạy qua điện trở
\(I=\dfrac{U}{Rtđ}=\dfrac{18}{6}=3\left(A\right)\)
a)\(R_1//R_2\)\(\Rightarrow R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{15\cdot10}{15+10}=6\Omega\)
b)\(U_1=U_2=U=18V\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{18}{15}=1,2A;I_2=\dfrac{U_2}{R_2}=\dfrac{18}{10}=1,8A\)
c)\(R_2ntR_3\Rightarrow R_{23}=R_2+R_3=10+5=15\Omega\)
\(R_1//\left(R_2ntR_3\right)\)\(\Rightarrow R_{tđ}=\dfrac{R_1\cdot R_{23}}{R_1+R_{23}}=\dfrac{15\cdot15}{15+15}=7,5\Omega\)
\(I=\dfrac{U}{R_{tđ}}=\dfrac{18}{7,5}=2,4A\)
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. \(U=U1=U2=18V\left(R1\backslash\backslash\mathbb{R}2\right)\)
\(\Rightarrow\left\{{}\begin{matrix}I1=U1:R1=18:15=1,2A\\I2=U2:R2=18:10=1,8A\end{matrix}\right.\)
\(R=\dfrac{R1\cdot R2}{R1+R2}=\dfrac{15\cdot10}{15+10}=6\Omega\)
\(U=U1=U2=18V\)
\(\Rightarrow\left\{{}\begin{matrix}I1=U1:R1=18:15=1,2A\\I2=U2:R2=18:10=1,8A\end{matrix}\right.\)
\(R'=\dfrac{R1\cdot\left(R2+R3\right)}{R1+R2+R3}=\dfrac{15\cdot\left(10+5\right)}{15+10+5}=7,5\Omega\)
\(\Rightarrow I'=U:R'=18:7,5=2,4A\)
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. \(R=R1+\left(\dfrac{R2.R3}{R2+R3}\right)=30+\left(\dfrac{15.10}{15+10}\right)=36\left(\Omega\right)\)
b. \(I=I1=I23=\dfrac{U}{R}=\dfrac{24}{36}=\dfrac{2}{3}A\left(R1ntR23\right)\)
\(U23=U2=U3=I23.R23=\dfrac{2}{3}\left(\dfrac{15.10}{15+10}\right)=4V\)(R2//R3)
\(\left\{{}\begin{matrix}I2=U2:R2=4:15=\dfrac{4}{15}A\\I3=U3:R3=4:10=0,4A\end{matrix}\right.\)
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{10}+\dfrac{1}{10}+\dfrac{1}{10}=\dfrac{3}{10}\Omega\)
\(\Rightarrow R_{tđ}=\dfrac{10}{3}\Omega\)
\(U_1=U_2=U_3=U=12V\)
\(I=\dfrac{U}{R}=\dfrac{12}{\dfrac{10}{3}}=3,6A\)
\(I_1=I_2=I_3=\dfrac{U_1}{R_1}=\dfrac{12}{10}=1,2A\)
Nếu mắc nối tiếp:
\(R_{tđ}=R_1+R_2+R_3=10+10+10=30\Omega\)
R1//R2
a, =>\(Rtd=\dfrac{R1R2}{R1+R2}=\dfrac{20.20}{20+20}=10\left(ôm\right)\)
b,R1//R2//R3
\(=>\dfrac{1}{Rtd}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}=\dfrac{1}{20}+\dfrac{1}{20}+\dfrac{1}{15}=>Rtd=6\left(ôm\right)\)c,
=>U1=U2=U3=30V
\(=>I1=\dfrac{U1}{R1}=\dfrac{30}{20}=1,5A,=>I2=\dfrac{U2}{R2}=1,5A\)
\(=>I3=\dfrac{U3}{R3}=2A\)
\(=>Im=\dfrac{U}{Rtd}=\dfrac{30}{6}=5A\)