Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(R1//R2\Rightarrow Rtd=\dfrac{R1R2}{R1+R2}=24\Omega\Rightarrow Im=\dfrac{U}{Rtd}=\dfrac{12}{24}=0,5A\)
\(\Rightarrow R2//\left(R1ntR3\right)\Rightarrow Im=\dfrac{U}{\dfrac{R2\left(R1+R3\right)}{R2+R1+R3}}=0,4A\)
R1 nt R2 nt R3
\(=>I1=I2=I3=\dfrac{U}{R1+R2+R3}=\dfrac{U}{3R}\left(A\right)\)
R1//R2//R3
\(=>U1=U2=U3=U\) mà các điện trở R1=R2=R3=R
\(=>\dfrac{1}{Rtd}=\dfrac{1}{R}+\dfrac{1}{R}+\dfrac{1}{R}=>\dfrac{1}{Rtd}=\dfrac{3}{R}=>Rtd=\dfrac{R}{3}\Omega\)
\(=>I'=I1=I2=I3=\dfrac{U}{Rtd}=\dfrac{3U}{R}A\)
a) Vì R1//R2 nên: \(\frac{1}{R12}\)=\(\frac{1}{R1}\)+\(\frac{1}{R2}\)= 1/6+1/12= 1/4 => R12= 4(\(\Omega\))
Vì R3 nt R12 nên: Rtđ= R3 + R12 = 16 + 4 = 20 (\(\Omega\))
b) CĐDĐ qua mạch chính là: I= U/Rtđ= 30/20= 1,5(A)
TRong mạch song2 : \(\frac{I1}{I2}\)= \(\frac{R2}{R1}\)= \(\frac{12}{6}\)=2 \(\Leftrightarrow\) I1=2I2
Vì R3 nt R12 nên: I = I12=I3 = 1,5(A)
Mà: R12= R1+R2=> R12= 2R2 + R2 = 3R2
3R2 = 1,5A => R2= 0,5(A)
\(\Leftrightarrow\)R1= 2R2= 0,5 . 2= 1(A)
\(R_{tđ}=R_1+R_2=9+15=24\Omega\)
\(I_1=I_2=I_m=\dfrac{12}{24}=0,5A\)
Mắc thêm \(R_3\) vào mạch thì dòng điện qua mạch là:
\(I'_m=\dfrac{P_m}{U_m}=\dfrac{12}{12}=1A\)
\(\Rightarrow R_3\) mắc song song với \(\left(R_1ntR_2\right)\)
\(\Rightarrow U_3=U_m=12V\)
\(\Rightarrow I_{12}'=\dfrac{12}{24}=0,5A\Rightarrow I_3=0,5A\Rightarrow R_3=24\Omega\)
a, \(=>R1//R2//R3//R4\)
\(=>\dfrac{1}{Rtđ}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}+\dfrac{1}{R4}=\dfrac{1}{10}+\dfrac{1}{10}+\dfrac{1}{20}+\dfrac{1}{20}\)
\(=>Rtd=\dfrac{10}{3}\left(om\right)\)
b, \(=>U=U1=U2=U3=U4=24V\)
\(=>I1=\dfrac{U1}{R1}=\dfrac{24}{10}=2,4A\)
\(=>I2=\dfrac{U2}{R2}=\dfrac{24}{10}=2,4A\)
\(=>I3=\dfrac{U3}{R3}=\dfrac{24}{20}=1,2A\)
\(=>I4=\dfrac{U4}{R4}=\dfrac{24}{20}=1,2A\)
a)CTM: \(R_1//R_2//R_3\)
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{4}+\dfrac{1}{6}+\dfrac{1}{12}=\dfrac{1}{2}\Rightarrow R_{tđ}=2\Omega\)
\(U_1=U_2=U_3=U=4,8V\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{4,8}{4}=1,2A\)
\(I_2=\dfrac{U_2}{R_2}=\dfrac{4,8}{6}=0,8A\)
\(I_3=\dfrac{U_3}{R_3}=\dfrac{4,8}{12}=0,4A\)
b)CTM: \((R_1//R_2//R_3)ntR_4\)
\(I_4=I_{123}=I_{AB}=1A\)
\(R_{tđ}=\dfrac{U_{AB}}{I_{AB}}=\dfrac{4,8}{1}=4,8\Omega\)
\(R_4=R_{tđ}-R_{123}=4,8-2=2,8\Omega\)