Christopher Tappin has appeared in US court. He spoke only to confirm his name. He will be back in court on Friday when he will ask for bail.
Shami Chakrabarti from civil rights group Liberty has criticised the extradition agreement between the UK and the United states saying:
"No-one is saying that there shouldn't be effective co-operation between countries to bring suspects to justice. But how is it just that someone can be taken from his home, family and country without any evidence being probed in a local court?"
Elaine Tappin spoke to reporters after she appeared before the Home Affairs Select Committee to talk about her husband Christopher Tappin's extradition.
She said he was very worried about him and his mental health.
Asked by a reporter if she had a message for President Obama and the US, Mrs Tappin said:
"Please be kind to him, don't treat him unjustly, and let him have his day in court quickly so he can come home to us."
Asked about the US-UK extradition treaty which has been described as "one-sided", Attorney General Dominic Grieve QC said there were "underlying fundamental problems that are not very easy to address".
"I think there's a lack of public confidence in the US justice system," he said.
There were perceptions in Britain that the US justice and penal systems were "harsh and disproportionate", leaving Britons "uneasy and uncertain", he added.
He told the MPs these concerns were "not readily curable".
Moving words from Elaine Tappin outside Parliament. She called on President Obama and the US authorities to look after her husband and let him have his day in court soon.
Elaine Tappin was accompanied by her son, Neil, when she appeared before the MPs on the Commons Home Affairs Select Committee to talk about her husband Christopher's extradition.
"Since dad's left we have not spoken to him, we heard last night from the British Consulate he is allowed one hour outside of his cell and has had his reading material taken away from him.
– Neil Tappin
They'll probably oppose bail because he's a flight risk.. bizarre they should do that as he got himself to Heathrow..."
Elain Tappin has given evidence to the Home Affairs Select Committee about her husband Christopher Tappin's extradition to the US.
Mrs Tappin described the "utter disbelief" and "desolation " the family felt when the UK did not stop his extradition.
There was a temporary pause in the reading of her statement as she broke down in tears.
Mrs Tappin also said it should be right as a UK citizen to put your side of case before being picked up out of your life and flown to foreign country.
Elaine Tappin is talking to MPs about the extradition of her husband, Christopher Tappin, to the US, accused of exporting electric batteries to Iran.
At times visibly emotional, she is describing the impact of the process on her family.