A long solenoid has a radius and length of 2.30 cm and 25 cm respectively, has 580 turns. If the current in the solenoid is increasing at the rate of 17.8 A/s, what is the magnitude of the induced emf produced.

Induced emf is equal to 0.05 volt

Explanation:

We have given length of the solenoid l = 25 cm = 0.25 m

Radius of the solenoid r = 2.3 cm = 0.023 m

Area of the solenoid

Number of turns N = 580

Inductance of the solenoid

Rate of change of current

Induced emf in inductor  is equal to

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

b. false

explanation:

suppose a rock in free fall is dropped off a cliff. after falling for 5 seconds, its speed would not be 100 m/s.