Question

One solenoid is centered inside another. The outer one has a length of 50.0 cm and contains 6750 coils, while the coaxial inner solenoid is 3.0 cm long and π cm² in area and contains 150 coils. The current in the outer solenoid is changing at 3000 A/s. The emf induced in the inner solenoid is ______ V.

(Round off to two decimal places.)

Options

• 1.44

• 2.43

• 3.45

• 4.56

Answer 1

One solenoid is centered inside another. The outer one has a length of 50.0 cm and contains 6750 coils, while the coaxial inner solenoid is 3.0 cm long and π cm² in area and contains 150 coils. The current in the outer solenoid is changing at 3000 A/s. The emf induced in the inner solenoid is 2.43 V.

Explanation:

`ε = (d phi)/(dt)`

= `4pi xx 10^-7 xx 6750/0.5 xx 3000 xx 150 xx pi xx 10^-4`

= `1800 xx 10^-7 xx 13500`

= 2.43 V