Bài 1:

a. \(R=p\dfrac{l}{S}=1,10.10^{-6}\dfrac{30}{0,3\cdot10^{-6}}=110\Omega\)

b. \(I=U:R=220:110=2A\)

Bài 2:

a. \(R=R1+R2=30+50=80\Omega\)

b. \(I=I1=I2=0,25A\left(R1ntR2\right)\)

\(\left\{{}\begin{matrix}U1=I1\cdot R1=0,25\cdot30=7,5V\\U2=I2\cdot R2=0,25\cdot50=12,5V\\U=IR=0,25\cdot80=20V\end{matrix}\right.\)

Câu 1.

a)\(R=\rho\cdot\dfrac{l}{S}=1,1\cdot10^{-6}\cdot\dfrac{30}{0,3\cdot10^{-6}}=110\Omega\)

b)\(I=\dfrac{U}{R}=\dfrac{220}{110}=2A\)

Câu 2.

a)\(R_{AB}=R_1+R_2=30+50=80\Omega\)

b)\(I_1=I_2=I_A=0,25A\)

   \(U_1=R_1\cdot I_1=30\cdot0,25=7,5V\)

   \(U_2=R_2\cdot I_2=50\cdot0,25=12,5V\)

   \(U_{AB}=U_1+U_2=7,5+12,5=20V\)

Câu 3.

a)\(R_{AB}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{600\cdot900}{600+900}=360\Omega\)

b)\(U_1=U_2=U_m=220V\)

   \(I_1=\dfrac{U_1}{R_1}=\dfrac{220}{600}=\dfrac{11}{30}A\)

   \(I_2=\dfrac{U_2}{R_2}=\dfrac{220}{900}=\dfrac{11}{45}A\)

   \(I_m=I_1+I_2=\dfrac{11}{30}+\dfrac{11}{45}=\dfrac{11}{18}A\)

Bài 3:

a. \(R=\dfrac{R1\cdot R2}{R1+R2}=\dfrac{600\cdot900}{600+900}=360\Omega\)

b. \(U=U1=U2=220V\left(R1//R2\right)\)

\(\left\{{}\begin{matrix}I1=U1:R1=220:600=\dfrac{11}{30}A\\I2=U2:R2=220:900=\dfrac{11}{45}A\\I=U:R=220:360=\dfrac{11}{18}A\end{matrix}\right.\)

1. In spite of being a poor student, he studied very well

2. Despite the bad weather, she went to school on time

3. Despite having a physical handicap, she has become a successful woman

4. In spite of having not finished the paper, he went to sleep

5. Despite having a lot of noise in the city, I prefer living there

1. In spite of being a poor student, he studied very well

2. Despite the fact that the weather was bad, she went to school on time.

Bài 3:

a. \(R=R1+R2=15+30=45\Omega\)

b. \(\left\{{}\begin{matrix}I=U:R=9:45=0,2A\\I=I1=I2=0,2A\left(R1ntR2\right)\end{matrix}\right.\)

c. \(\left\{{}\begin{matrix}U1=R1.I1=15.0,2=3V\\U2=R2.I2=30.0,2=6V\end{matrix}\right.\)

Bài 4:

\(I1=U1:R1=6:3=2A\)

\(\Rightarrow I=I1=I2=2A\left(R1ntR2\right)\)

\(U=R.I=\left(3+15\right).2=36V\)

\(U2=R2.I2=15.2=30V\)

1. Because of studying hard, I passed the exam

2. Because of Hoa's richness, she could buy that house

3. Because of bad grades, she failed the University entrance exam

4. Because of the accident, I was late

5. Because of the terrible traffic, we didn't arrive until 6 o'clock

có j đâu

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Bài 3: 

1: ĐKXĐ: \(x\ge1\)

2: ĐKXĐ: \(x\in R\)

3: ĐKXĐ: \(x\le1\)

4: ĐKXĐ: \(x>\dfrac{3}{2}\)

\(d,ĐK:x\ge1\\ PT\Leftrightarrow\sqrt{x-1}=2+\sqrt{x+1}\\ \Leftrightarrow x-1=2+x+1+4\sqrt{x+1}\\ \Leftrightarrow4\sqrt{x+1}=-4\Leftrightarrow x\in\varnothing\left(4\sqrt{x+1}\ge0\right)\\ g,ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow x+\sqrt{2x-1}+x-\sqrt{2x-1}+2\sqrt{\left(x+\sqrt{2x-1}\right)\left(x-\sqrt{2x-1}\right)}=2\\ \Leftrightarrow2x+2\sqrt{x^2-2x+1}=2\\ \Leftrightarrow\sqrt{\left(x-1\right)^2}=\dfrac{2-2x}{2}=1-x\\ \Leftrightarrow\left|x-1\right|=1-x\\ \Leftrightarrow\left[{}\begin{matrix}x-1=1-x\left(x\ge1\right)\\x-1=x-1\left(x< 1\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\left(tm\right)\\x\in R\end{matrix}\right.\)

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