If you are looking for an internship role then you will be studying something related to social media and have a keen interest in social media.
You will normally be at University looking to gain some more experience related to your course but relevant to what you want to do when you graduate.
If you have found a role or a company you would like to apply to do an internship with, then the below letter, may act as a guide for you.
Cover Letter for Social Media Intern
Dear Sir/Madam (unless you know who you need to address the letter to)
Application for a Social Media Internship
I would like to apply for an internship with your company in social media. I am currently doing a (degree or which qualification in what subject) and I am looking to do an internship with your company during the period of (what time frame are you looking at, gap year, etc).
My degree is (what subject and can you discuss the relevance here?) and I feel that with the experience I have gained since beginning my degree course that I would make a good asset. I am very passionate about (what area are they looking specifically for you to do). I live and breathe all things social medial. I have been an avid user of facebook and twitter and have always been asked to help people set up their own accounts and been able to help them.
I am a dedicated individual who is enthusiastic about the degree course that I have chosen but feel that my true passion lies in social media and I would like to gain more exposure in this area.
I have enclosed my up to date CV with my letter and I am happy to answer any questions that you may have about my experiences or my degree. I am available for interview at your discretion.
Thank you for taking the time to read my letter and CV and I look forward to hearing from you.