Answer to Question #314215 in Physics for mcc

Question

Consider a solenoid with an air core, with 3000 loops, with a measure of 70 cm, and with a diameter of 3 cm. If a 6 A current is sent through it, how much is the value of the magnetic formed within it?

Answer 1

The magnetic field inside solenoid

$$B=\mu_0 \frac{n}{\sqrt{d^2+l^2}}I$$ $$B=4\pi\times 10^{-7}\times \frac{3000/0.70}{\sqrt{0.03^2+0.70^2}}\times6=4.6\times 10^{-4}\:\rm T$$