Quantum computing in fact appears to be a form of modern advancement of computational engineering with the promise of reduced complexity in various fields hence electrical engineering is not an exception. This study focuses on the employing of the quantum computing algorithms which include quantum annealing, QFT, and QPE on circuit design and signal processing. In the case of finding solutions to these problems like traveling salesman problem, quadratic assignment problem, and job-shop scheduling problem, quantum annealing was found to perform better than the other traditional methods such as classical simulated annealing or genetic algorithms. The performance analysis showed that the QFT is more efficient for large scale signal processing whereas the QPE algorithm is more accurate for phase retrieval than the classical algorithms. For all these advantages, the problem of adaptations and corrections owing to quantum hardware imperfections, issues with error correction and interfacing with classical elements remain. The present work discusses the opportunities of applying quantum computing in electrical engineering and stresses the demand for additional investigations to solve these issues and develop the perspectives of the quantum approach usage.