I know that the iron core of a solenoid will result in a higher magnetic field than a hollow core when a current is running through it. I'm wondering if the reverse is true. Will an iron core result in a larger current when the solenoid is exposed to a changing magnetic field? I want to create a simple generator where one or two electric coils are rotating between some magnets and I am wondering if having an iron core will create a larger current. Any explanation as to why would be appreciated too. Thanks.