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Use Laplace transforms for the transient analysis of networks

Compute circuit responses to a step input in practical situations

problem1) A DC supply of 10V is applied to the circuit shown below. Assume zero conditions when the switch is closed. Use Laplace Transforms to compute:

a) The current flowing in the circuit in the T and S domains

b) The voltage across the inductor in the T and S domains

c) The voltage across the capacitor in the T and S domains

504_Circuit_1.jpg
problem2)

The field coil of a D.C. motor is shunted by a 200Ω arc-quenching resistor as shown below, find out:

a) An expression for the current in the field coil at time t seconds after connection to the 200V supply

b) The peak voltage VAB at the instant the supply is switched off (assuming steady state conditions have been achieved before switching off)

c) The total current taken by the parallel components 0.5 seconds after switching on

d) The time taken for the coil current to fall to 10% of its normal running value after the supply is switched off (assuming steady state conditions have been achieved before switching off)

2459_Circuit_2.jpg

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M9690

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