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b, theo hình vẽ \(\left(R1ntR2ntR3\right)//\left(R4ntR5ntR6\right)\)
\(=>Uab=U123=U456=42V\)
\(=>I123=\dfrac{U123}{R123}=\dfrac{42}{R1+R2+R3}=\dfrac{42}{1+2+3}=7A=I1=I2\)\(=I3\)
\(=>U1=I1.R1=7V\), \(U3=I3.R3=7.3=21V\)
\(U2=I2R2=7.2=14V\)
\(=>I456=\dfrac{U456}{R456}=\dfrac{42}{R4+R5+R6}=\dfrac{42}{4+2+1}=6A=I4=I6\)
\(=>U4=I4R4=6.4=24V\), \(U6=I6.R6=6V\)
\(=>Ump=U4-U1=24-7=17V\)
\(=>Unq=U3-U6=21-6=15V\)
\(=>Upn=\left(U1+U2\right)-U4=\left(7+14\right)-6=15V\)
a) R2 R3 R1 A B + -
b)
* Tính \(R_{tđ}\)
\(\dfrac{1}{R_{23}}=\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{50}+\dfrac{1}{50}=\dfrac{2}{50}\left(\Omega\right)\)
=> \(R_{23}=\dfrac{50}{2}=25\left(\Omega\right)\)
\(R_{tđ}=R_{23}+R_1=25+25=50\left(\Omega\right)\)
* Tính I
\(I_{AB}=\dfrac{U_{AB}}{R_{tđ}}=\dfrac{60}{50}=1.2\left(A\right)\)
a,(ban tu ve hinh)
b,\(\Rightarrow Rtd=\dfrac{R3\left(R1+R2\right)}{R3+R1+R2}=15\Omega\)
c,\(\Rightarrow Im=\dfrac{Um}{RTd}=\dfrac{45}{15}=3A\)
\(\Rightarrow I12=\dfrac{Um}{R1+R2}=\dfrac{45}{30}=1,5A=I1=I2\)
\(\Rightarrow\left\{{}\begin{matrix}U1=I1R1=21V\\U2=I2.R2=24V\end{matrix}\right.\)
A B R1 R2 R3
Câu b : Điện trở tương đương của đoạn mạch là :
\(R=\dfrac{U}{I}=\dfrac{15}{0,5}=30\Omega\)
Mà : \(\left(R_1ntR_2\right)//R_3\)
\(\Rightarrow R=\dfrac{R_1R_3+R_2R_3}{R_1+R_2+R_3}\Leftrightarrow30=\dfrac{1800+60R_2}{90+R_2}\)
\(\Leftrightarrow R_2=30\Omega\)
a. R=R1.R2R1+R2=5.105+10=103(Ω)R=R1.R2R1+R2=5.105+10=103(Ω)
b. U=U1=U2=15VU=U1=U2=15V(R1//R2)
{I1=U1:R1=15:5=3AI2=U2:R2=15:10=1,5A{I1=U1:R1=15:5=3AI2=U2:R2=15:10=1,5A
c. ⎧⎪⎨⎪⎩Pm=UmIm=15.(3+1,5)=67,5P1=U1.I1=15.3=45P2=U2.I2=15.1,5=22,5{Pm=UmIm=15.(3+1,5)=67,5P1=U1.I1=15.3=45P2=U2.I2=15.1,5=22,5
R2//(R1nt[R5//(R3ntR4))
\(=>R1345=R1+\dfrac{R5\left(R3+R4\right)}{R5+R3+R4}=7\Omega=>Rtd=\dfrac{R2.R1345}{R2+R1345}=14\Omega\)
\(=>I3=I4=I34=>U5=U34=I34.R34=0,5.\left(R3+R4\right)=3V=>I5=\dfrac{U5}{R5}=1A=>I1=I5+I34=1,5A=>U1345=U2=1,5.R1345=10,5V=U2=Um=>I2=\dfrac{U2}{R2}=1,5A\)
a)+Chứng+tỏ+rằng:+Ump+=+U4-U1b)...){kind=link}
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