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a. Bạn tự vẽ sơ đồ mạch điện nhé!
b. \(P=UI\)
\(\Rightarrow\left[{}\begin{matrix}I1=\dfrac{P1}{U1}=\dfrac{440}{220}=2\left(A\right)\\I2=\dfrac{P2}{U2}=\dfrac{110}{220}=0,5\left(A\right)\end{matrix}\right.\)
c. \(\left[{}\begin{matrix}R1=\dfrac{U1}{I1}=\dfrac{220}{2}=110\left(\Omega\right)\\R2=\dfrac{U2}{I2}=\dfrac{220}{0,5}=440\left(\Omega\right)\end{matrix}\right.\)
d. \(A=\left(P1.t\right)+\left(P2.t\right)=\left(440.4.30\right)+\left(110.4.30\right)=66000\left(Wh\right)=66\left(kWh\right)\)
\(\Rightarrow T=A.450=66.450=29700\left(dong\right)\)
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Bài 2:
a. \(R=R1+\dfrac{R2\cdot R3}{R2+R3}=10+\dfrac{6\cdot3}{6+3}=12\Omega\)
b. \(I=I1=I23=U:R=12:12=1A\left(R1ntR23\right)\)
\(U23=U2=U3=I23\cdot R23=1\cdot\left(\dfrac{6\cdot3}{6+3}\right)=0,5V\left(R2//R3\right)\)
\(\left\{{}\begin{matrix}I2=U2:R2=0,5:6=\dfrac{1}{12}A\\I3=U3:R3=0,5:3=\dfrac{1}{6}A\end{matrix}\right.\)
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Bài 1:
\(A=P.t=U.I.t=220.2,5.1=550\left(J\right)\)
Bài 2:
\(P=\dfrac{U^2}{R}\Rightarrow R=\dfrac{U^2}{P}=\dfrac{220^2}{1000}=48,4\left(\Omega\right)\)
\(A=P.t=1000.4.60.60=14400000\left(J\right)\)
Nhiệt lượng lò sưởi tỏa ra trong 40 ngày:
\(A=40.14400000=576000000\left(J\right)=160\left(kWh\right)\)
Tiền điện phải trả:
\(160.2100=336000\left(đồng\right)\)
Bài 3:
Điện trở nồi bếp điện:
\(R=\rho\dfrac{l}{S}=1,1.10^{-6}.\dfrac{30}{0,2.10^{-6}}=165\left(\Omega\right)\)
Nhiệt lượng tỏa ra:
\(A=P.t=\dfrac{U^2}{R}.t=\dfrac{220^2}{165}.15.60=264000\left(J\right)\)
R1 //{R2 nt(R3//R4)}
\(\Rightarrow Icb=4=I1+I3=\dfrac{Uab}{R1}+I3=\dfrac{Uab}{4}+I3\left(1\right)\)
\(\Rightarrow\dfrac{R3}{R4}=2\Rightarrow R3=2R4\Rightarrow\dfrac{I3}{I4}=0,5\Rightarrow I4=\dfrac{I3}{0,5}\left(A\right)\)
\(\Rightarrow I2=I3+I4\Rightarrow I3+\dfrac{I3}{0,5}=I2\Rightarrow1,5I3=0,5I2\Rightarrow I3=\dfrac{I2}{3}=\dfrac{\dfrac{Uab}{R234}}{3}=\dfrac{\dfrac{Uab}{12}}{3}=\dfrac{Uab}{36}\left(A\right)\left(2\right)\)
\(\left(1\right)\left(2\right)\Rightarrow4=\dfrac{Uab}{4}+\dfrac{Uab}{36}\Rightarrow Uab=14,4V\)
Sao ở dòng đầu bằng U4/R4 vậy