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a)Điện trở tương đương:
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{16}=\dfrac{5}{16}\)
\(\Rightarrow R_{tđ}=\dfrac{16}{5}\Omega=3,2\Omega\)
b)\(R_1//R_2//R_3\Rightarrow U_1=U_2=U_3=U=2,4V\)
\(I_m=\dfrac{U}{R_{tđ}}=\dfrac{2,4}{3,2}=0,75A\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{2,4}{6}=0,4A\)
\(I_2=\dfrac{U_2}{R_2}=\dfrac{2,4}{12}=0,2A\)
\(I_3=I_m-I_1-I_2=0,15A\)
a)\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{16}=\dfrac{5}{16}\)
\(\Rightarrow R_{tđ}=\dfrac{16}{5}\Omega=3,2\Omega\)
b)\(I_m=\dfrac{U}{R_{tđ}}=\dfrac{2,4}{3,2}=0,75A\)
\(R_1//R_2//R_3\Rightarrow U_1=U_2=U_3=U=2,4V\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{2,4}{6}=0,4A\)
\(I_2=\dfrac{U_2}{R_2}=\dfrac{2,4}{12}=0,2A\)
\(I_3=I-I_1-I_2=0,75-0,4-0,2=0,15A\)
a. \(\dfrac{1}{R}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{16}=\dfrac{5}{16}\Rightarrow R=3,2\left(\Omega\right)\)
b. \(U=U1=U2=U3=2,4V\)(R1//R2//R3)
\(\left\{{}\begin{matrix}I=U:R=2,4:3,2=0,75A\\I1=U1:R1=2,4:6=0,4A\\I2=U2:R2=2,4:12=0,2A\\I3=U3:R3=2,4:16=0,15A\end{matrix}\right.\)
a,có \(R1//R2//R3\)
\(=>\dfrac{1}{Rtd}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}=\dfrac{1}{10}+\dfrac{1}{20}+\dfrac{1}{20}\)
\(=>Rtd=5\left(om\right)\)
\(b,=>Im=\dfrac{U}{Rtd}=\dfrac{12}{5}=2,4A\)
\(=>U=U123=U1=U2=U3=12V\)
\(=>\left\{{}\begin{matrix}I1=\dfrac{U1}{R1}=\dfrac{12}{10}=1,2A\\I2=\dfrac{U2}{R2}=\dfrac{12}{20}=0,6A\\I3=\dfrac{U3}{R3}=\dfrac{12}{20}=0,6A\end{matrix}\right.\)
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{16}=\dfrac{5}{16}\)
\(\Rightarrow R_{tđ}=3,2\left(\Omega\right)\)
\(U=U_1=U_2=U_3=2,4V\)
\(\left\{{}\begin{matrix}I=\dfrac{U}{R_{tđ}}=\dfrac{2,4}{3,2}=0,75\left(A\right)\\I_1=\dfrac{U_1}{R_1}=\dfrac{2,4}{6}=0,4\left(A\right)\\I_2=\dfrac{U_2}{R_2}=\dfrac{2,4}{12}=0,2\left(A\right)\\I_3=\dfrac{U_3}{R_3}=\dfrac{2,4}{16}=0,15\left(A\right)\end{matrix}\right.\)
1. bạn tự vẽ sơ đồ mạch điện nhé!
2.
a. \(\dfrac{1}{R}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{16}=\dfrac{5}{16}\Rightarrow R=3,2\left(\Omega\right)\)
b. \(U=U1=U2=U3=2,4\left(V\right)\)(R1//R2//R3)
\(\left\{{}\begin{matrix}I=\dfrac{U}{R}=\dfrac{2,4}{3,2}=0,75\left(A\right)\\I1=\dfrac{U1}{R1}=\dfrac{2,4}{6}=0,4\left(A\right)\\I2=\dfrac{U2}{R2}=\dfrac{2,4}{12}=0,2\left(A\right)\\I3=\dfrac{U3}{R3}=\dfrac{2,4}{16}=0,15\left(A\right)\end{matrix}\right.\)
a) Điện trở tương đương của mạch là:
\(R_{td}=R_1+R_2+R_3=6+12+16=34\Omega\)
b) Hiệu điện thế của mạch là:
\(I=\dfrac{U}{R_{td}}\Rightarrow U=IR_{td}=0,5\cdot34=17V\)
a, Điện trở tương đương là:
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{5}{16}\)
\(\Rightarrow R_{tđ}=\dfrac{16}{5}=3,2\Omega\)
b, Cường độ dòng điện qua mạch chính:
\(I=\dfrac{U}{R_{tđ}}=\dfrac{2,4}{3,2}=0,75A\)
Cường độ dòng điện qua các điện trớ:
\(I_1=\dfrac{U}{R_1}=\dfrac{2,4}{6}=0,4A\)
\(I_2=\dfrac{U}{R_2}=\dfrac{2,4}{12}=0,2A\)
\(I_3=I-I_1-I_2=0,75-0,4-0,2=0,15A\)