A 514 turn solenoid , 21 cm long has a diameter of 2.6 cm. A 14 turn coil is tightly wound around the center of the solenoid. If the current in the solenoid increases uniformly from 0.3 A to 2.79 A in 0.8 s, what will be the induced emf in the short coil during this time

Explanation:

no of turns per unit length n = 514 / .21 = 2447.62 per meter .

magnetic field in solenoid = μ₀ nI

= 4π x 10⁻⁷ x 2447.62 x I = 3.07 x 10⁻³ I  T

magnetic flux through the small coil = 14 x 3.07 x 10⁻³ x π x 1.3² x10⁻⁴ I

φ= 72.63 x 10⁻⁷ I  Web

emf induced in it

= dφ / dt = 72.63 x 10⁻⁷ dI / dt

= 72.63 x 10⁻⁷ x ( 2.79 - .3) / .8

= 226 x 10⁻⁷ V

= 22.6 x10⁻⁶ V

= 22.6 μ V .

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

wavelegth as in spectrum red oygbiv