induced potential.

Question 1

how does the movement of a wire in a magnetic field cause an induced potential difference in the coil?

Answer 1

as coil is part of complete circuit this potential difference caused a current to flow.
when magnet moves the coil. cuts the lines of magnetic flux.
this induces a potential difference in the coil.

Question 2

what does more lines of magnetic flux cut in a given time mean?

Answer 2

larger the potential difference.

Question 3

how does the potential difference become larger?

Answer 3

magnetic field is larger.
coil/ magnet is moved at higher speed.
there are more turns in the coil.