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If a 4ohm, 3ohm and 2ohm resistor is connected in delta, find the equivalent star connection.
- a)8/9ohm, 4/3ohm, 2/3ohm
- b)8/9ohm, 4/3ohm, 7/3ohm
- c)7/9ohm, 4/3ohm, 2/3ohm
- d)8/9ohm, 5/3ohm, 2/3ohm
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If a 4ohm, 3ohm and 2ohm resistor is connected in delta, find the equi...
Using the delta-star conversion formula:
R1=4*3/(2+3+4)
R2=2*3/(2+3+4)
R3=2*4/(2+3+4).
R1=4*3/(2+3+4)
R2=2*3/(2+3+4)
R3=2*4/(2+3+4).
Most Upvoted Answer
If a 4ohm, 3ohm and 2ohm resistor is connected in delta, find the equi...
Solution:
Given resistors are connected in delta connection, and we need to find the equivalent star connection.
Let the equivalent star connection be R1, R2, and R3.
The formula for star to delta conversion is:
Rab = (Ra * Rb + Rb * Rc + Rc * Ra) / (Rc)
Rac = (Ra * Rb + Rb * Rc + Rc * Ra) / (Rb)
Rbc = (Ra * Rb + Rb * Rc + Rc * Ra) / (Ra)
Where Ra, Rb, and Rc are the three resistances in star connection.
Let's assume Ra = R1, Rb = R2, and Rc = R3.
Now, applying the above formulae, we get:
R1 = (2 * 3 + 3 * 4 + 4 * 2) / 4 = 8/3 ohm
R2 = (2 * 3 + 3 * 2 + 2 * 4) / 4 = 4/3 ohm
R3 = (3 * 4 + 4 * 2 + 2 * 3) / 4 = 7/3 ohm
Therefore, the equivalent star connection is 8/9 ohm, 4/3 ohm, and 2/3 ohm.
Hence, option 'A' is the correct answer.
Given resistors are connected in delta connection, and we need to find the equivalent star connection.
Let the equivalent star connection be R1, R2, and R3.
The formula for star to delta conversion is:
Rab = (Ra * Rb + Rb * Rc + Rc * Ra) / (Rc)
Rac = (Ra * Rb + Rb * Rc + Rc * Ra) / (Rb)
Rbc = (Ra * Rb + Rb * Rc + Rc * Ra) / (Ra)
Where Ra, Rb, and Rc are the three resistances in star connection.
Let's assume Ra = R1, Rb = R2, and Rc = R3.
Now, applying the above formulae, we get:
R1 = (2 * 3 + 3 * 4 + 4 * 2) / 4 = 8/3 ohm
R2 = (2 * 3 + 3 * 2 + 2 * 4) / 4 = 4/3 ohm
R3 = (3 * 4 + 4 * 2 + 2 * 3) / 4 = 7/3 ohm
Therefore, the equivalent star connection is 8/9 ohm, 4/3 ohm, and 2/3 ohm.
Hence, option 'A' is the correct answer.
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If a 4ohm, 3ohm and 2ohm resistor is connected in delta, find the equivalent star connection.a)8/9ohm, 4/3ohm, 2/3ohmb)8/9ohm, 4/3ohm, 7/3ohmc)7/9ohm, 4/3ohm, 2/3ohmd)8/9ohm, 5/3ohm, 2/3ohmCorrect answer is option 'A'. Can you explain this answer?
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