Assuming we have a 1 cm long empty solenoid with a 1 mA current flowing through it, how many loops do we need to have in the solenoid to generate a 1 T magnetic field inside the solenoid? Give your answers as integers rounded up
N =
What if we had an iron core inside the solenoid with relative permeability of 64,000 ? How many loops would we need in this case?
N =

(a) To generate a 1 T magnetic field inside the solenoid, we need 7.96 x 10⁶ turns.(b) If we had an iron core inside the solenoid with relative permeability of 64,000, the number of  turns would be 124 turns.What is the number of turns of the solenoid?The number of turns of the solenoid is determined by applying the following equation for magnetic field strength at the center of the solenoid.B = μnIwhere;μ is the permeability of free space = 4π x 10⁻⁷ T/AI is the current = 1 mA = 0.001 AB is magnetic field strength = 1 Tn is number of turns per length n = B/ μIN/L = B/μIN = (BL)/μIwhere;L is the length of the solenoidn = (1 x 0.01) / (4π x 10⁻⁷  x 0.001)n = 7.96 x 10⁶ turns If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be calculated as;N = (BL)/(μI x μr)where;μr is the relative permeabilityN = (1 x 0.01) / (4π x 10⁻⁷  x 0.001 x 64,000)N = 124 turnsLearn more about number of turns here: https://brainly.com/question/25886292#SPJ1