Introduction:
When it comes to solving numerical problems in electrical engineering, there are two approaches one can take: solving step-by-step or using shortcuts. Both methods have their own advantages and it ultimately depends on the complexity of the problem and the individual's proficiency in the subject. Let's explore both approaches in detail.

Solving Numerical Problems Step-by-Step:
When solving numerical problems step-by-step, you follow a systematic approach to arrive at the final solution. This method involves breaking down the problem into smaller steps, applying relevant formulas, and solving each step sequentially. Here are the advantages of this approach:

1. Understanding Concepts: Solving problems step-by-step helps in better understanding of the underlying concepts and principles. It allows you to grasp the intricacies of the problem and the logic behind each step.

2. Building Strong Foundation: By solving problems step-by-step, you build a strong foundation in electrical engineering concepts. This foundation becomes essential when dealing with complex problems or during higher-level studies.

3. Minimizing Errors: This approach ensures that you take into account all the necessary calculations and considerations, reducing the chances of making errors. It allows for careful analysis and verification at each step.

4. Developing Problem-Solving Skills: Solving problems step-by-step enhances your problem-solving skills. It teaches you to think critically, analyze the given information, and apply appropriate techniques to arrive at the solution.

Using Shortcuts:
Using shortcuts in electrical engineering can be advantageous when dealing with relatively simpler problems or when there is a time constraint. However, it is important to note that shortcuts should be used judiciously and only if you have a thorough understanding of the underlying concepts. Here are a few points to consider:

1. Time Efficiency: Shortcuts can save time, especially when you are familiar with the problem type and have practiced using the shortcuts extensively. They allow you to quickly arrive at the solution without going through all the detailed calculations.

2. Complexity: Shortcuts may not be suitable for complex problems that involve multiple variables or require a detailed analysis. In such cases, solving step-by-step ensures accuracy and a comprehensive understanding of the problem.

3. Exam Preparation: While shortcuts can be handy during exams to save time, it is crucial to remember that they should not replace a thorough understanding of the subject. It is always recommended to practice solving problems step-by-step to reinforce your knowledge.

Conclusion:
In conclusion, both solving numerical problems step-by-step and using shortcuts have their own merits in electrical engineering. It is crucial to strike a balance between the two approaches depending on the complexity of the problem and the time available. While shortcuts can be time-saving, solving step-by-step ensures a deeper understanding of concepts and builds a strong foundation. It is advisable to practice both methods to develop a comprehensive skill set in electrical engineering problem-solving.