The illustration on the HowStuffWorks website is probably the easiest to understand. As you add coils to the electromagnet you have more and more magnetic field traveling in a certain vector (depending on which way current is flowing). It's much like a lot of physics...as you add horses to a plow the force is increased. As you add coils to an electromagnet the magnetic field increases.
As I said, check out this link for better understanding.
http://science.howstuffworks.com/electromagnet4.htm\ A wire with an electric current passing through it, generates a magnetic field around it, this is a simple electromagnet. The strength of magnetic field generated is proportional to the amount of current. if we were to increase the number of coils the strength of the magnetic field would increase, also increasing the strength of the magnet
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More coils increase the number of turns in the wire, which strengthens the magnetic field produced when current flows through the wire. This increased magnetic field results in a stronger electromagnet.
Increasing the number of coils in an electromagnet increases the magnetic field strength produced. This is because more coils result in more current flowing through the electromagnet, generating a stronger magnetic field.
Adding more coils increases the amount of current flowing through the electromagnet, which in turn increases the strength of the magnetic field produced. The magnetic field strength is directly proportional to the number of coils, so more coils result in a stronger magnetic force.
Having more coils around the metal core of an electromagnet increases the magnetic field strength produced when current flows through the coils. This is because more coils create a stronger magnetic field due to increased magnetic flux density. Therefore, more coils result in a more powerful electromagnet.
Increasing the number of coils of wire around the nail in an electromagnet strengthens the magnetic field produced by the electromagnet. More coils create a stronger electromagnetic force due to increased current flow, resulting in a more powerful magnet.
Increasing the number of coils of wire wrapped around the core of an electromagnet will increase the strength of the magnetic field produced by the electromagnet. More coils result in more current flowing through the wire, creating a stronger magnetic field.