Cho (((R1 song song R2 ) nối tiếp R3) song song R4)
Cho R1= 10 \(\Omega\) ; R2= 20 \(\Omega\); R3= 30\(\Omega\) ;R4= 40\(\Omega\) ;U= 60V
Tính Rtương đương = ?; Tính I, I1, I2, I3, I4.
**Giải chi tiết**
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Ta có mạch (((R5ntR6)//R4)nt(R2//R3)ntR1
R56=30\(\Omega\)=>R564=\(\dfrac{30.30}{30+30}=15\Omega\)
R23=\(\dfrac{4.6}{4+6}=2,4\Omega\)=>Rtđ=R1+R23+R456=30\(\Omega\)
=>I=I1=I23=I456=\(\dfrac{U}{Rtđ}=1A\)
Vì R2//R3=>U2=U3=U23=I23.R23=2,4V=>I2=\(\dfrac{U2}{R2}=0,6A;I3=\dfrac{U3}{R3}=0,4A\)
Vì R4//R56=>U4=U56=U456=I456.R456=15V
=>\(I4=\dfrac{U4}{R4}=0,5A\)
Vì R5ntR6=>I5=I6=I56=\(\dfrac{U56}{R56}=0,5A\)
Vậy................
Ta có : U3=R3.I3=10.0,3=3(V)
Do R2 // R3 nên U23= U2=U3=3(V)
\(\Rightarrow I_2=\frac{U_2}{R_2}=\frac{3}{15}=0,2\left(A\right)\)
\(\Rightarrow I_{23}=I_2+I_3=0,3+0,2=0,5\left(A\right)\)
Có : R1 nt (R2 // R3) \(\Rightarrow I_c=I_1=I_{23}=0,5A\)
b, Có : U1=R1.I1=9.0,5=3(V)
c, Hiệu điện thế giữa 2 đầu đoạn mạch là :
U=U1+U23=3+3=6(V) (vì R1 nt (R2//R3))
ý là thế này hả bn?
(R1ntR2)//(R3ntR4)
a,\(=>Rtd=\dfrac{\left(R1+R2\right)\left(R3+R4\right)}{R1+R2+R3+R4}=\dfrac{\left(10+15\right)\left(10+25\right)}{10+15+10+25}=\dfrac{175}{12}\left(om\right)\)
b,\(=>U12=U34=36V\)
\(=>I12=I1=I2=\dfrac{U12}{R12}=\dfrac{36}{10+15}=1,44A\)
\(=>I34=I3=I4=\dfrac{U34}{R34}=\dfrac{36}{10+25}=\dfrac{36}{35}A\)
a) \(R_1ntR_2\)
\(U_{AB}=15V;R_1=15\Omega;R_2=10\Omega\)
\(I=?\)
\(U_1=?;U_2=?\)
BL :
\(R_{td}=R_1+R_2=25\Omega\)
\(I=\dfrac{U_{AB}}{R_{td}}=0,6\left(A\right)\)
b) \(R_3//R_1\)
\(I=1A;R_3=?\)
BL :
\(U_{AB}=U_3=15V\)
\(I_3=1-0,6=0,4A\)
\(=>R_3=\dfrac{15}{0,4}=37,5\Omega\)
c) \(R_3//R_2\)
\(I=?\)
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{\dfrac{19}{150}}=\dfrac{150}{19}\left(\Omega\right)\)
\(I=\dfrac{U_{AB}}{R_{TM}}=\dfrac{15}{\dfrac{150}{19}}=1,9\left(A\right)\)
Vậy....................
ta có sơ đồ:
Ta có: R12=\(\dfrac{R_1R_2}{R_1+R_2}=\dfrac{10.20}{10+20}=\dfrac{200}{30}=\dfrac{20}{3}\left(\Omega\right)\)
R123=R12+R3=\(\dfrac{20}{3}+30=\dfrac{110}{3}\left(\Omega\right)\)
=> Rtd=R1234=\(\dfrac{R_{123}R_4}{R_{123}+R_4}=\dfrac{\dfrac{110}{3}.40}{\dfrac{110}{3}+40}=\dfrac{440}{23}=19,13\left(\Omega\right)\)
=> I=\(\dfrac{U}{R_{td}}=\dfrac{90}{\dfrac{440}{23}}=\dfrac{207}{44}=4,7\left(A\right)\)
Lại có:
U=U4=U123=90(V)
=> I4=U4:R4=90:40=2,25(A)
I12=I3=U123:R123=\(\dfrac{90}{\dfrac{110}{3}}=2,45\left(A\right)\)
U12=U1=U2=U-U3=U-I3R3=90-\(\dfrac{27}{11}.30\)=\(\dfrac{180}{11}=16,36\left(V\right)\)
=> I1=\(\dfrac{U_1}{R_1}=\dfrac{\dfrac{180}{11}}{10}=\dfrac{18}{11}=1,636\left(A\right)\)
I2\(=\dfrac{U_2}{R_2}=\dfrac{\dfrac{180}{11}}{20}=\dfrac{9}{11}=0,818\left(A\right)\)
thì ra là vậy, cảm ơn bạn