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Calculate the current across the 4 ohm resistor.
- a)0.86A
- b)1.23A
- c)2.22A
- d)0.67A
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Calculate the current across the 4 ohm resistor.a)0.86Ab)1.23Ac...
Thevenin resistance is found by opening the circuit between the specified terminal and shorting all voltage sources.
When the 10V source is shorted, we get:
Rth=(1||2)+3=3.67 ohm.
Vth is calculated by opening the specified terminal.
Using voltage divider, Vth= 2*10/(2+1)=6.67V.
On drawing the Thevenin equivalent circuit, we get Rth, 4 ohm and Vth in series.
Applying ohm’s law, I=Vth/(4+Rth)= 0.86A.
When the 10V source is shorted, we get:
Rth=(1||2)+3=3.67 ohm.
Vth is calculated by opening the specified terminal.
Using voltage divider, Vth= 2*10/(2+1)=6.67V.
On drawing the Thevenin equivalent circuit, we get Rth, 4 ohm and Vth in series.
Applying ohm’s law, I=Vth/(4+Rth)= 0.86A.
Most Upvoted Answer
Calculate the current across the 4 ohm resistor.a)0.86Ab)1.23Ac...
Firstly we will calculate the equivalent resistance for the whole circuit..Requivalent={1+(2)||(3+4)}=2.55 ohm(due to series and parallel combination). Now we will find equivalent circuit current I=V/Reqv=10/2.55=3.92A. Now by current division rule we can find the current in 4 ohm resistance...Then current through 4 ohm resistance..i=I×2(4+3+2)=(3.92×2)/9=0.86A
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Community Answer
Calculate the current across the 4 ohm resistor.a)0.86Ab)1.23Ac...
10=3i1-2i2
0=-2i1+9i2
i1= 3.91A,i2=0.86A, current flowing through 4 ohm is i2 ~> option (a)
0=-2i1+9i2
i1= 3.91A,i2=0.86A, current flowing through 4 ohm is i2 ~> option (a)
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