A physicist is measuring the net magnetic flux density BBB inside a custom solenoid as the control current III is adjusted. The physicist correctly evaluates the flux density at two specific current levels:
B(−5)=−2 and B(5)=2B(-5) = -2 \text{ and } B(5) = 2B(−5)=−2 and B(5)=2
and concludes that there must be an equilibrium current level in the interval I∈(−5,5)I \in (-5, 5)I∈(−5,5) where the flux density is exactly zero (B=0B = 0B=0), citing the change of sign. For which of the following models for B(I)B(I)B(I) is this conclusion incorrect?
Practise Edexcel A Level Maths 10.1 Locating Roots with exam-style questions for A Level Maths. 3 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.