Step 1 :Let's denote the number of panels produced by Plant B as x. The total number of defective panels is the sum of the defective panels from Plant A and Plant B, which is \(0.04*8000 + 0.01*x\). The total number of panels is \(8000 + x\).
Step 2 :The overall percentage of defective panels is the total number of defective panels divided by the total number of panels, which is \((0.04*8000 + 0.01*x) / (8000 + x) = 0.02\).
Step 3 :We can solve this equation for x.
Step 4 :The solution to the equation is 16000. This means that Plant B produced 16000 panels.
Step 5 :Final Answer: \(\boxed{16000}\)