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If a 6 ohm, 2ohm, and 4ohm resistor is connected in
delta, find the equivalent star connection.
a)1ohm, 2ohm, 3ohm
b)2ohm, 4ohm, 7ohm
c)5ohm, 4ohm, 2ohm
d)1ohm, 2ohm, 2/3ohm
The correct answer is option 'D'.
Can you explain this answer?
a)1ohm, 2ohm, 3ohm
b)2ohm, 4ohm, 7ohm
c)5ohm, 4ohm, 2ohm
d)1ohm, 2ohm, 2/3ohm
The correct answer is option 'D'.
Can you explain this answer?
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Verified Answer
If a 6 ohm, 2ohm, and 4ohm resistor is connected in... more delta, fin...
Using the delta to star conversion formula:
R1=2*6/(2+6+4)= 1 ohm
R2=2*4/(2+6+4)= 2/3 ohm
R3=4*6/(2+6+4)= 2 ohm
Hence, The Correct Answer is Option D
You can learn more about Delta to Star Conversion by ging through the doc:
R1=2*6/(2+6+4)= 1 ohm
R2=2*4/(2+6+4)= 2/3 ohm
R3=4*6/(2+6+4)= 2 ohm
Hence, The Correct Answer is Option D
You can learn more about Delta to Star Conversion by ging through the doc:
Most Upvoted Answer
If a 6 ohm, 2ohm, and 4ohm resistor is connected in... more delta, fin...
Equivalent Star Connection of Resistors in Delta
Given resistors: 6 ohm, 2 ohm, and 4 ohm
Step 1: Write down the delta connection equations.
RA = (R1 x R2) / (R1 + R2 + R3)
RB = (R2 x R3) / (R1 + R2 + R3)
RC = (R1 x R3) / (R1 + R2 + R3)
where,
RA, RB, RC are the equivalent resistances in delta connection.
R1, R2, R3 are the resistances in the delta connection.
Step 2: Substitute the given resistor values in the above equations.
RA = (6 x 2) / (6 + 2 + 4) = 1 ohm
RB = (2 x 4) / (6 + 2 + 4) = 2/3 ohm
RC = (6 x 4) / (6 + 2 + 4) = 2 ohm
Step 3: Write down the equivalent star connection equations.
R1 = RB x RC / (RA + RB + RC)
R2 = RA x RC / (RA + RB + RC)
R3 = RA x RB / (RA + RB + RC)
where,
R1, R2, R3 are the equivalent resistances in star connection.
RA, RB, RC are the equivalent resistances in delta connection.
Step 4: Substitute the calculated values in the above equations.
R1 = (2/3 x 2) / (1 + 2/3 + 2) = 2/3 ohm
R2 = (1 x 2) / (1 + 2/3 + 2) = 2/3 ohm
R3 = (1 x 2/3) / (1 + 2/3 + 2) = 1/3 ohm
Therefore, the equivalent star connection of 6 ohm, 2 ohm, and 4 ohm resistors in delta is 2/3 ohm, 2/3 ohm, and 1/3 ohm. The correct answer is option 'D'.
Given resistors: 6 ohm, 2 ohm, and 4 ohm
Step 1: Write down the delta connection equations.
RA = (R1 x R2) / (R1 + R2 + R3)
RB = (R2 x R3) / (R1 + R2 + R3)
RC = (R1 x R3) / (R1 + R2 + R3)
where,
RA, RB, RC are the equivalent resistances in delta connection.
R1, R2, R3 are the resistances in the delta connection.
Step 2: Substitute the given resistor values in the above equations.
RA = (6 x 2) / (6 + 2 + 4) = 1 ohm
RB = (2 x 4) / (6 + 2 + 4) = 2/3 ohm
RC = (6 x 4) / (6 + 2 + 4) = 2 ohm
Step 3: Write down the equivalent star connection equations.
R1 = RB x RC / (RA + RB + RC)
R2 = RA x RC / (RA + RB + RC)
R3 = RA x RB / (RA + RB + RC)
where,
R1, R2, R3 are the equivalent resistances in star connection.
RA, RB, RC are the equivalent resistances in delta connection.
Step 4: Substitute the calculated values in the above equations.
R1 = (2/3 x 2) / (1 + 2/3 + 2) = 2/3 ohm
R2 = (1 x 2) / (1 + 2/3 + 2) = 2/3 ohm
R3 = (1 x 2/3) / (1 + 2/3 + 2) = 1/3 ohm
Therefore, the equivalent star connection of 6 ohm, 2 ohm, and 4 ohm resistors in delta is 2/3 ohm, 2/3 ohm, and 1/3 ohm. The correct answer is option 'D'.
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If a 6 ohm, 2ohm, and 4ohm resistor is connected in... more delta, fin...
D
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