figure out pointers and structs

While I've been trying to figure out how to deal with pointers&structs, I wrote the following code.

1. Why does the output of function print_child is gibberish? OUTPUT:

dad name: AAAA dad id: 11

mom name: BBBB mom id: 22

1child name: ï Uï∞ u u u h░├evhchild id: 6846053

2child name: ï Uï∞ u u u h░├evhchild id: 6846053

2. How can I define an array of chars with unlimited length? (Using string also requires a defined length)

   #include <iostream>
   
   using namespace std;
   
   struct Person
   {
       char name[20]; //Question 2
       int id;
   };
   
   const int max_num_of_childs=10;
   
   struct Family
   {
       Person dad;
       Person mom;
       int num_of_childs;
       Person* child[max_num_of_childs];
   };
   
   
   
   void add_child (Family& f)
   {
       char answer;
       do
       {
           if (f.num_of_childs==max_num_of_childs)
           {
               cout << "no more children" <<endl;
               return;
           }
   
           cout << "more child? Y/N" <<endl;
           cin >> answer;
           if (answer == 'Y')
           {
               f.child[f.num_of_childs] = new Person;
               cout << "enter name and id" << endl;
               cin >> f.child[f.num_of_childs]->name;
               cin >> f.child[f.num_of_childs]->id;
               f.num_of_childs++;
           }
       }
       while (answer=='Y');
   
       return;
   
   }
   
   
   void add (Family& f)
   {
       cout << "insert dad name & id" << endl;
       cin >> f.dad.name >> f.dad.id;
   
       cout << "\ninsert mom name & id" << endl;
       cin >> f.mom.name >> f.mom.id;
   
       add_child (f);
   
   }
   
   void print_child (const Family f) //Question 1
   {
       for (int i=0; i<f.num_of_childs; i++)
           cout << "#" << i+1 << "child name: " << f.child[f.num_of_childs]->name << "child id: " << f.child[f.num_of_childs]->id << endl;
   }
   
   
   void print (const Family f)
   {
       cout << "dad name: " << f.dad.name << "\tdad id: " << f.dad.id << endl;
       cout << "mom name: " << f.mom.name << "\tmom id: " << f.mom.id << endl;
       print_child (f);
   }
   
   
   
   
   int main()
   {
       Family f;
       f.num_of_childs=0;
       add(f);
       print(f);
   
       return 0;
   }