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Consider a part of an electrical network as shown below. Some node voltages, and the current flowing through the \( 3\,\Omega \) resistor are as indicated. 
The voltage (in Volts) at node \( X \) is _________. 


 

  • GATE EC - 2025
  • GATE EC
  • Signals and Systems
  • Laplace, Fourier and z-transforms
Consider a continuous-time, real-valued signal \( f(t) \) whose Fourier transform \[ F(\omega) = \int_{-\infty}^{\infty} f(t) \exp(-j \omega t) \, dt { exists.} \] Which one of the following statements is always TRUE?
  • GATE EC - 2025
  • GATE EC
  • Signals and Systems
  • Laplace, Fourier and z-transforms
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