Hello 

ECE and Biomedical engineering are inter related just that in Biomedical Engineering you will learn about the machines used in hospitals. 

Scope is wast some of the positions i have listed below please go through it:

• Bio Instrumentation engineer
• Professor 
• Research Engineer
• Sales Engineer 
• Service Engineer 

In different corporates also you will get job some corporates are: 

• L&T
• General Electric Global Research, Bangalore
• Stryker Global Technology Center
• Deloitte Consulting India Pvt Ltd
• Texas Instruments Inc.
• Phillips Healthcare
• Orbees Medical
• Siemens
• Covidien
•