IOCT 2024

A cube shaped network is developed using 12 impedances used as edges of the cube. Each impedance is formed with a resistor of 1 Ω and an inductor of 5 mH. The impedance between two diagonally opposite corners of the cube is

• 0.8333+j0.8333

• 0.8333+j4.1667

• 0.8333+j1.30833

• 1.30833+j4.1667

In the circuit shown below, the current through the inductor is

• 
• 
• 
• 

• The circuit parameters are given by:

  R=1 kΩ, L=10 mH, C=1 mF

• The circuit parameters are given by:

  R=10 kΩ, L=100mH, C=100 µF

• The circuit parameters are given by:

  R=100 kΩ, L=100 mH, C=100µF

• The circuit parameters are given by:

  R=10kΩ, L=10 mH, C=100µF

Three capacitors C₁,C₂ and C₃ whose values are 20μF,6μF, and 4μFrespectively, have breakdown voltages of 8V, 6V and 4Vrespectively. For the interconnection shown below, the maximum safe voltage in volts that can be applied across the combination, and the corresponding total charge in μCstored in the effective capacitance across the terminals are respectively,

• Safe voltage 10V, total charge 66.67 μC

• Safe voltage 8V, total charge 66.67 μC

• Safe voltage 8V, total charge 179.2μC

• Safe voltage 10V, total charge 179.2 μC

A segment of a circuit is shown in figure V_R =5V,V_C = 3sin3t the voltage V_L is given by

• −3−9cos 3t

• 54sin 3t

• −6 −54 sin 3t

• 54cos 3t

The voltage source, of the circuit is 240 V, 50 Hz. The load consists of resistance 4 ohm  in series with inductive reactance 3 ohm. A capacitor is installed to improve the power factor at the source side to unity. The value of the capacitor is

• 382 µF               

•    428 µF                 

• 514 µF    

•              632 µF

The Thevenin equivalent resistance across ab of the circuit

• 0.333 Ω       

•     0.444 Ω                 

• 0.555 Ω                

• 0.666 Ω

The current in the 10 Ω resistance

• 5 A                 

• 6 A                        

• 7 A           

•              8 A

The current flowing through the galvanometer

• 64.5 mA

•   82.5 mA                

• 112.5 mA     

•        147.5 mA

The impedance looking into nodes 1 and 2

• 50 Ω         

•        100 Ω                 

•     5 kΩ                     

• 10.1 kΩ