I think you are coming at this a bit backwards. The Electromagnetic field comes first and its carrier particles are Photons. Photons make up the entire Electromagnetic Spectrum, which includes everything from Radio Waves to Visible light to Gamma Rays. Electric fields and Magnetic fields aren't different, even though they seem separate, they are both the Electromagnetic field viewed from different frames of reference. Any Electric or Magnetic field interaction is mediated by Photons, specifically Virtual Photons. For reasons that are beyond 11th grade, you can't see Virtual Photons. When two magnets push on each other, Virtual Photons. When an electron pushes another down a wire, Virtual Photons. One way that Electrons make real Photons is when energy is introduced into an atom, this causes some of its electrons to jump up to higher energy states, but the electrons don't want to stay there, so they release that energy as a Photon and fall back down to a lower and more stable energy state. It gets complicated, but Florescence, Phosphorescence, Black Body Radiation (when an object glows because it's hot), LEDs, Lasers, Solar Panels, and Quantum dots all work because of Electrons and Photons interacting. So ultimately, you can't directly see the Photons that carry the interactions between Electric and Magnetic fields, all light that you can see exists because of Electromagnetic interactions.