member function question

Here is a code listing from c++ primer plus. I don't understand how the copy constructor in this listing works

Code:

#include <iostream>
using namespace std;
#include <cstdlib>

template <class T, int n>
class ArrayTP
{
     private:
          T ar[n];
     public:
          ArrayTP();
          explicit ArrayTP(const T & v);// cpy constructor proto type
          virtual T & operator[](int i);
          virtual const T & operator[](int i) const;
};

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 template <class T, int n>
ArrayTP<T,n>::ArrayTP(const T & v)
{
     for (int i=0; i<n; i++)
          ar[i]=v;                  //my question is here. i dont understand 
                                        // shouldnt it be ar[i]=v[i];
}
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v is not an array, it's a value of type T (The ArrayTP class wraps a real array of T). That constructor initializes all the elements in the array to v. After the constructor, everything in the array will have the same value.

Thanks silentstrike!