A newly rated instrument pilot reported the aircraft was making turns to the right without their input. They discovered their Ipad attached to the right side of the yoke was causing the turns.

Narrative

I was departing ZZZ on an IFR flight to ZZZ1. I was cleared to climb to 2000 on a 220 heading by the tower. On climbout I entered an overcast layer at 1600 ft. I leveled off at 2000 ft. as instructed and handed over to TRACON. A few moments later; I was given a frequency change by ATC. When I turned my attention to tune the radio; the aircraft entered an uncommanded right turn. I restored the heading and altitude and then went to tune the radio when the aircraft again performed an uncommanded right turn. I immediately leveled the wings according to the attitude indicator. I suspected gyro failure but the backup up AI agreed with the main. I then suspected spacial disorientation. I am a newly minted Instrument Pilot having passed my practical exam last month. I made the frequency change and checked in with TRACON. ATC noticed my inability to hold the assigned heading and altitude and asked if I needed any assistance. I said that I needed to get out of IMC. The controller then cleared me to climb on my present heading to 4;000 ft. At 2;600 ft. I popped out on top. I was then vectored onto VXX and went on my way; quite shaken by the event.A half an hour later; in straight and level flight in VMC; I noticed that if I took my had off of the yoke; the aircraft made an uncommanded turn to the right. I then noticed that I'd mounted my iPad on the right side of the yoke; and that I was unconsciously using my left hand as a counterweight to the iPad. I was taught to fly on instruments with a light touch on the yoke. This light touch combined with the offset placement of the iPad caused the (very scary) uncommanded right turn in IMC. I mounted the iPad to the windscreen of the aircraft for the flight back to ZZZ.