我有資格在台灣工作嗎？

Hi there,
You are not necessarily ineligible to work. However, if you are residing in Taiwan under dependent/spouse status, you should first confirm whether your current residency status already grants work authorization or whether a separate work permit is still required. Taiwan has fairly specific regulations regarding the employment of foreign nationals, so obtaining residency alone does not automatically mean you can work freely; eligibility still depends on the type of position and whether the employer is willing and able to complete the required hiring procedures.
From your background, a PhD in electrical/electronic engineering combined with measurement engineering experience in Japan is not inherently an uncompetitive profile. This sounds less like a “you are not qualified” problem and more like a combination of industry fit, Chinese-language requirements, job targeting, and whether employers are comfortable handling foreign hiring procedures.
Applying to 25 positions without responses does not necessarily mean you cannot work in Taiwan. It may simply reflect market competition, keyword mismatch, or companies preferring local candidates who are immediately available and easier to onboard administratively.
To improve your chances, I would suggest focusing more on multinational companies, R&D centers, semiconductor equipment firms, optical inspection companies, machine vision, and precision measurement/instrumentation roles, areas where your technical specialization is more directly valuable.
It may also help to clearly state your current residency/work authorization status on your résumé or in your self-introduction, so HR immediately understands whether additional work permit processing is required. Sometimes companies skip foreign applicants simply because they are uncertain about the administrative process.