CRJ-900 First Officer reported the Window Heat electrical connection to the Captain's Wind Shield began to arc. The flight crew ran the checklists and QRH; then descended to lower the differential pressure on the Wind Shield. The flight crew continued to destination airport and made a precautionary landing.

Narrative

Smoke in the cockpit. ZZZ to ZZZ1. At FL340 with about one hour left in flight. Myself and the Captain both smelled something then notice a small amount of smoke coming from the Captain's side just above the dash visor and between the windshield and window. We determined the smoke was coming from the windshield heater component that connects the electrical wire to the windshield. The smoke started to get more consistent and we decided to turn off the left windshield heat and run the QRH. After about 30 seconds to one minute the smoke stopped. We we through the Smoke/Fire/Fumes procedure which also had us do the electrical smoke or fire procedure. We also ran the Arcing; delaminated; shattered or cracked Windshield/Window to make sure we didn't have any windshield or window damage. This also had us turn off the left side windshield heat and descend to FL280. We advised ATC we needed to descend and did not request priority handling and we were not asked if it was one. We also advised Dispatch and Maintenance of the situation. The captain; dispatch; and myself all agreed to continue to ZZZ1. We landed and got to the gate with no further issues and Maintenance was at the gate to talk to us.