Prithvi Sridhar, who is on trial at Cambridge Crown Court, denies the charge, saying he was too drunk to perform the sexual act.
"He says intercourse did not take place at all," prosecutor David Matthew told the court yesterday.
The 21-year-old is studying for an engineering degree at well-known Queens' College in Cambridge University.
'The Daily Telegraph' reports that the incident took place after a night out on November 4, 2014 and the alleged victim, who cannot be named for legal reasons, reported the incident to the police a week later on November 11, 2014.
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"I told him multiple times that I didn't want to have sex with him. He tried to push himself inside me and I laid back because it hurt less. I was trying not to look at him because I did not want it to happen," she told the jury.
A close friend of the victim, who also cannot be named, told the court after the alleged incident the victim was "not in a very good state and was crying and distressed".