It's not easy at all, especially inside F1 car. If it's electromagnetic field and noises, then shielding is ineffective and very hard to stop. It's not electrostatic shield, which stops electromagnetic pulses, but magnetic shield like muMetal or other magnetic stopping materials. To be effective they should have their thickness and they are heavy.
My degree is in physics, so I understand the nuances of the field.
If memory serves aerospace companies have started using carbon composites for shielding to save weight. I would assume F1 is using a similar technology to help keep the weight down.