Question

solenoid is .3 m long and is wound with 2 layers of wire. the inner layer consists of 300 turns, the outer alyter of 250 turns. if the current in both layers are 3 A and in the same direction what is the magnetic field at the center of the solonoid?

Answer 1

Step-by-step explanation:

Magnetic field due to a solenoid

B = μ₀ nI where n is no of turns per unit length and I is current

for outer layer of turns

B = μ₀ x (250 / .3) x 3

= 4π x 10⁻⁷ x (250 / .3) x 3

= 3.14 x 10⁻³ T

for inner layer of turns

B = μ₀ x (300 / .3) x 3

= 4π x 10⁻⁷ x (300 / .3) x 3

= 3.77 x 10⁻³ T

Total magnetic field

= (3.14 + 3.77 ) x 10⁻³ T

= 6.91 x 10⁻³ T .