Explore topic-wise MCQs in Network Theory.

This section includes 30 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.

1.

If a star connected system has equal impedances Z1, then after converting into delta connected system having equal impedances Z2, then?

A. Z2 = Z1
B. Z2 = 2Z1
C. Z2 = 3Z1
D. Z2 = 4Z1
Answer» D. Z2 = 4Z1
2.

A symmetrical three-phase, three-wire 440V supply is connected to star-connected load. The impedances in each branch are ZR = (2+j3) Ω, ZY = (1-j2) Ω, ZB = (3+j4) Ω. Find ZBR.

A. (5.22-j0.82) Ω
B. (-3.02+j8) Ω
C. (-5.22+j0.82) Ω
D. (3.8-j0.38) Ω
Answer» C. (-5.22+j0.82) Ω
3.

A symmetrical three-phase, three-wire 440V supply is connected to star-connected load. The impedances in each branch are ZR = (2+j3) Ω, ZY = (1-j2) Ω, ZB = (3+j4) Ω. Find ZBY.

A. (-5.22+j0.82) Ω
B. (5.22-j0.82) Ω
C. (3.8-j0.38) Ω
D. (-3.02+j8) Ω
Answer» C. (3.8-j0.38) Ω
4.

A symmetrical three-phase, three-wire 440V supply is connected to star-connected load. The impedances in each branch are ZR = (2+j3) Ω, ZY = (1-j2) Ω, ZB = (3+j4) Ω. Find ZRY.

A. (5.22-j0.82) Ω
B. (-3.02+j8) Ω
C. (3.8-j0.38) Ω
D. (-5.22+j0.82) Ω
Answer» D. (-5.22+j0.82) Ω
5.

If the resistors of star connected system are ZR, ZY, ZB then the impedance ZBR in delta connected system will be?

A. (ZRZY + ZYZB + ZBZR)/ZY
B. (ZRZY + ZYZB + ZBZR)/R
C. (ZRZY + ZYZB + ZBZR)/ZB
D. (ZRZY + ZYZB + ZBZR)/(ZB+ZR)
Answer» B. (ZRZY + ZYZB + ZBZR)/R
6.

If the resistors of star connected system are ZR, ZY, ZB then the impedance ZBY in delta connected system will be?

A. (ZRZY + ZYZB + ZBZR)/(ZB+ZY)
B. (ZRZY + ZYZB + ZBZR)/ZB
C. (ZRZY + ZYZB + ZBZR)/ZY
D. (ZRZY + ZYZB + ZBZR)/ZR
Answer» E.
7.

If the resistors of star connected system are ZR, ZY, ZB then the impedance ZRY in delta connected system will be?

A. (ZRZY + ZYZB + ZBZR)/ZB
B. (ZRZY + ZYZB + ZBZR)/ZY
C. (ZRZY + ZYZB + ZBZR)/ZR
D. (ZRZY + ZYZB + ZBZR)/(ZR+ZY)
Answer» B. (ZRZY + ZYZB + ZBZR)/ZY
8.

If a resistor ZR is connected between R and N, ZBR between R and B, ZRY between R and Y and ZBY between B and Y form a delta connection, then after transformation to star, the impedance at B is?

A. (ZBRZBY)/(ZRY+ZBY+ZBR)
B. (ZRYZBY)/(ZRY+ZBY+ZBR)
C. (ZBY)/(ZRY+ZBY+ZBR)
D. (ZBR)/(ZRY+ZBY+ZBR)
Answer» B. (ZRYZBY)/(ZRY+ZBY+ZBR)
9.

If a resistor ZR is connected between R and N, ZBR between R and B, ZRY between R and Y and ZBY between B and Y form a delta connection, then after transformation to star, the impedance at Y is?

A. (ZRY)/(ZRY+ZBY+ZBR)
B. (ZBY)/(ZRY+ZBY+ZBR)
C. (ZRYZBY)/(ZRY+ZBY+ZBR)
D. (ZRYZBR)/(ZRY+ZBY+ZBR)
Answer» D. (ZRYZBR)/(ZRY+ZBY+ZBR)
10.

If a resistor ZR is connected between R and N, ZBR between R and B, ZRY between R and Y and ZBY between B and Y form a delta connection, then after transformation to star, the impedance at R is?

A. (ZBRZBY)/(ZRY+ZBY+ZBR)
B. (ZRYZBR)/(ZRY+ZBY+ZBR)
C. (ZRYZBY)/(ZRY+ZBY+ZBR)
D. (ZRY)/(ZRY+ZBY+ZBR)
Answer» C. (ZRYZBY)/(ZRY+ZBY+ZBR)
11.

Find the equivalent resistance between A and B.

A. 32ohm
B. 31ohm
C. 30ohm
D. 29ohm
Answer» E.
12.

If an 8/9ohm, 4/3ohm and 2/3ohm resistor is connected in star, find its delta equivalent.

A. 4ohm, 3ohm, 2ohm
B. 1ohm, 3ohm, 2ohm
C. 4ohm, 1ohm, 2ohm
D. 4ohm, 3ohm, 1ohm
Answer» B. 1ohm, 3ohm, 2ohm
13.

If a 1ohm 2ohm and 32/3ohm resistor is connected in star, find the equivalent delta connection.

A. 34 ohm, 18.67 ohm, 3.19 ohm
B. 33 ohm, 18.67 ohm, 3.19 ohm
C. 33 ohm, 19.67 ohm, 3.19 ohm
D. 34 ohm, 19.67 ohm, 3.19 ohm
Answer» B. 33 ohm, 18.67 ohm, 3.19 ohm
14.

Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between A and B?

A. Rc+Rb+Ra*Rb/Rc
B. Ra+Rb+Ra*Rc/Rb
C. Ra+Rb+Ra*Rb/Rc
D. Ra+Rc+Ra*Rc/Rb
Answer» D. Ra+Rc+Ra*Rc/Rb
15.

Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between A and C?

A. Ra+Rb+Ra*Rb/Rc
B. Ra+Rc+Ra*Rc/Rb
C. Ra+Rb+Ra*Rc/Ra
D. Ra+Rc+Ra*Rb/Rc
Answer» C. Ra+Rb+Ra*Rc/Ra
16.

Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between B and C?

A. Rc+Rb+Rc*Rb/Ra
B. Rc+Rb+Ra*Rb/Rc
C. Ra+Rb+Ra*Rc/Rb
D. Rc+Rb+Rc*Ra/Rb
Answer» B. Rc+Rb+Ra*Rb/Rc
17.

Find the equivalent resistance between X and Y.

A. 3.33 ohm
B. 4.34 ohm
C. 5.65 ohm
D. 2.38 ohm
Answer» E.
18.

Find the equivalent delta circuit.

A. 9.69 ohm, 35.71 ohm, 6.59 ohm
B. 10.69 ohm, 35.71 ohm, 6.59 ohm
C. 9.69 ohm, 34.71 ohm, 6.59 ohm
D. 10.69 ohm, 35.71 ohm, 7.59 ohm
Answer» B. 10.69 ohm, 35.71 ohm, 6.59 ohm
19.

FIND_ZBR.?$

A. (5.22-j0.82) Ω
B. (-3.02+j8) Ω
C. (-5.22+j0.82) Ω
D. (3.8-j0.38) Ω
Answer» C. (-5.22+j0.82) ‚Äö√Ñ√∂‚àö√´¬¨‚àÇ
20.

IF_AN_8/9OHM,_4/3OHM_AND_2/3OHM_RESISTOR_IS_CONNECTED_IN_STAR,_FIND_ITS_DELTA_EQUIVALENT.?$

A. 4ohm, 3ohm, 2ohm
B. 1ohm, 3ohm, 2ohm
C. 4ohm, 1ohm, 2ohm
D. 4ohm, 3ohm, 1ohm
Answer» B. 1ohm, 3ohm, 2ohm
21.

If_a_star_connected_system_has_equal_impedances_Z1,_then_after_converting_into_delta_connected_system_having_equal_impedances_Z2,_then?$

A. Z<sub>2</sub> = Z<sub>1</sub>
B. Z<sub>2</sub> = 2Z<sub>1</sub>
C. Z<sub>2</sub> = 3Z<sub>1</sub>
D. Z<sub>2</sub> = 4Z<sub>1</sub>
Answer» D. Z<sub>2</sub> = 4Z<sub>1</sub>
22.

Find ZBY in the question 7?

A. (-5.22+j0.82) Ω
B. (5.22-j0.82) Ω
C. (3.8-j0.38) Ω
D. (-3.02+j8) Ω
Answer» C. (3.8-j0.38) ‚Äö√Ñ√∂‚àö√´¬¨‚àÇ
23.

If a 1ohm 2ohm and 32/3ohm resistor is connected in star, find the equivalent delta connection?

A. 1ohm, 3ohm, 2ohm
B. 4ohm, 3ohm, 5ohm
C. 4ohm, 5ohm, 2ohm
D. 5ohm, 3ohm, 2ohm
Answer» B. 4ohm, 3ohm, 5ohm
24.

A symmetrical three-phase, three-wire 440V supply is connected to star-connected load. The impedances in each branch are ZR = (2+j3) Ω, ZY = (1-j2) Ω, ZB = (3+j4) Ω. Find ZRY.$

A. (5.22-j0.82) Ω
B. (-3.02+j8) Ω
C. (3.8-j0.38) Ω
D. (-5.22+j0.82) Ω
Answer» D. (-5.22+j0.82) ‚Äö√Ñ√∂‚àö√´¬¨‚àÇ
25.

Rab is the resistance between the terminals A and B, Rbc between B and C and Rca between C and A. These 3 resistors are connected in star connection. After transforming to delta, the resistance at A will be?

A. Rc+Rb+Rc*Rb/Ra
B. Rc+Rb+Ra*Rb/Rc
C. Ra+Rb+Ra*Rc/Rb
D. Rc+Rb+Rc*Ra/Rb
Answer» B. Rc+Rb+Ra*Rb/Rc
26.

If the resistors of star connected system are ZR, ZY, ZB then the impedance ZRY in delta connected system will be?

A. (Z<sub>R</sub>Z<sub>Y</sub>+ Z<sub>Y</sub>Z<sub>B</sub>+ Z<sub>B</sub>Z<sub>R</sub>)/Z<sub>B</sub>
B. (Z<sub>R</sub>Z<sub>Y</sub>+ Z<sub>Y</sub>Z<sub>B</sub>+ Z<sub>B</sub>Z<sub>R</sub>)/Z<sub>Y</sub>
C. (Z<sub>R</sub>Z<sub>Y</sub>+ Z<sub>Y</sub>Z<sub>B</sub>+ Z<sub>B</sub>Z<sub>R</sub>)/Z<sub>R</sub>
D. (Z<sub>R</sub>Z<sub>Y</sub>+ Z<sub>Y</sub>Z<sub>B</sub>+ Z<sub>B</sub>Z<sub>R</sub>)/(Z<sub>R</sub>+Z<sub>Y</sub> )
Answer» B. (Z<sub>R</sub>Z<sub>Y</sub>+ Z<sub>Y</sub>Z<sub>B</sub>+ Z<sub>B</sub>Z<sub>R</sub>)/Z<sub>Y</sub>
27.

Delta connection is also known as____________

A. Y-connection
B. Mesh connection
C. Either Y-connection or mesh connection
D. Neither Y-connection nor mesh connection
Answer» C. Either Y-connection or mesh connection
28.

Which, among the following is the correct expression for star-delta conversion?

A. R1=Ra*Rb/(Ra+Rb+Rc), R2=Rb*Rc/(Ra+Rb+Rc), R3=Rc*Ra/(Ra+Rb+Rc)b)
B. R1=Ra/(Ra+Rb+Rc), R2=Rb/(Ra+Rb+Rc), Rc=/(Ra+Rb+Rc)
C. R1=Ra+Rb+Ra*Rb/Rc, R2=Rc+Rb+Rc*Rb/Ra, R3=Ra+Rc+Ra*Rc/Rb
D. R1=Ra*Rb/Rc, R2=Rc*Rb/Ra, R3=Ra*Rc/Rb
Answer» D. R1=Ra*Rb/Rc, R2=Rc*Rb/Ra, R3=Ra*Rc/Rb
29.

In the question above the impedance at Y is?

A. (Z<sub>RY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
B. (Z<sub>BY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
C. (Z<sub>RY</sub>Z<sub>BY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
D. (Z<sub>RY</sub>Z<sub>BR</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
Answer» D. (Z<sub>RY</sub>Z<sub>BR</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
30.

If a resistor ZR is connected between R and N, ZBR between R and B, ZRY between R and Y and ZBY between B and Y form a delta connection, then after transformation to star, the impedance at R is?

A. (Z<sub>BR</sub>Z<sub>BY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
B. (Z<sub>RY</sub>Z<sub>BR</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
C. (Z<sub>RY</sub>Z<sub>BY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
D. (Z<sub>RY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)
Answer» C. (Z<sub>RY</sub>Z<sub>BY</sub>)/(Z<sub>RY</sub>+Z<sub>BY</sub>+Z<sub>BR</sub>)