# Star-Delta Transformation MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Star-Delta Transformation”.

1. If a resistor Rx is connected between nodes X and Y, Ry between X and Y, Rz between Y and Z to form a delta connection, then after transformation to star, the resistance at node Y is?
a) RzRy/(Rx+Ry+Rz)
b) RzRx/(Rx+Ry+Rz)
c) RxRy/(Rx+Ry+Rz)
d) (Rz+Ry)/(Rx+Ry+Rz)

2. If a resistor Rx is connected between nodes X and Y, Ry between X and Y, Rz between Y and Z to form a delta connection, then after transformation to star, the resistance at node Z is?
a) RyRx/(Rx+Ry+Rz)
b) RyRx/(Rx+Ry+Rz)
c) RzRy/(Rx+Ry+Rz)
d) (Rz+Rx)/(Rx+Ry+Rz)

3. If a resistor Rx is connected between nodes X and Y, Ry between X and Y, Rz between Y and Z to form a delta connection, then after transformation to star, the resistor at node X is?
a) RxRy/(Rx+Ry+Rz)
b) RxRz/(Rx+Ry+Rz)
c) RzRy/(Rx+Ry+Rz)
d) (Rx+Ry)/(Rx+Ry+Rz)

4. If the resistors of star connected system are R1, R2, R3 then the resistance between 1 and 2 in delta connected system will be?
a) (R1R2 + R2R3 + R3R1)/R3
b) (R1R2 + R2R3 + R3R1)/R1
c) (R1R2 + R2R3 + R3R1)/R2
d) (R1R2 + R2R3 + R3R1)/(R1+R2)

5. If the resistors of star connected system are R1, R2, R3 then the resistance between 3 and 1 in delta connected system will be?
a) (R1R2 + R2R3 + R3R1)/R1
b) (R1R2 + R2R3 + R3R1)/R3
c) (R1R2 + R2R3 + R3R1)/R2
d) (R1R2 + R2R3 + R3R1)/(R3+R1)

6. Find the equivalent resistance at node C in the delta connected circuit shown below.

a) 3.66
b) 4.66
c) 5.66
d) 6.66

7. If the resistors of star connected system are R1, R2, R3 then the resistance between 2 and 3 in delta connected system will be?
a) (R1R2 + R2R3 + R3R1)/R3
b) (R1R2 + R2R3 + R3R1)/R2
c) (R1R2 + R2R3 + R3R1)/R1
d) (R1R2 + R2R3 + R3R1)/(R3+R2)

8. Find the equivalent resistance at node A in the delta connected circuit shown in the figure below.

a) 1
b) 2
c) 3
d) 4

9. Find the equivalent resistance between node 1 and node 3 in the star connected circuit shown below.

a) 30
b) 31
c) 32
d) 33

10. Find the equivalent resistance between node 1 and node 2 in the star connected circuit shown below.

a) 2
b) 29
c) 30
d) 31 5 Star
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