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Electromagnetic Induction and aircraft wing

  • Thread starter Sabrina_18
  • Start date
  • #1

Homework Statement



4) The wing of an aircraft is 60m long and the aircraft is travelling at 250ms-1. The vertical component of the Earth’s magnetic field, which the wing is cutting, has the value of 4.3 X 10-5 T.
Calculate:
a. The Flux cut per second by the wing
b. The induced emf set up across the wing


Homework Equations


This s the equation given:
E = N D Φ /Dt

The Attempt at a Solution


Heres my attempt. My answers seem very wrong. Please help. Thanks.

a. The Flux cut per second by the wing
Magnetic field = 4.3 X 10-5 T
Length of conductor = 60m
Velocity = 250ms-1
E = Ф ÷ t
E = (4.3 X 10-5 X 60) ÷ 250 = 103 X 10-7 T

b. The induced emf set up across the wing
E = BLV
E = Induced EMF
B =Flux density
V = Velocity

E = 4.3 X 10-5 X 60 X 250 =0.645.
 
Last edited:

Answers and Replies

  • #2
alphysicist
Homework Helper
2,238
1
Hi Sabrina_18,

Homework Statement



4) The wing of an aircraft is 60m long and the aircraft is travelling at 250ms-1. The vertical component of the Earth’s magnetic field, which the wing is cutting, has the value of 4.3 X 10-5 T.
Calculate:
a. The Flux cut per second by the wing
b. The induced emf set up across the wing


Homework Equations


This s the equation given:
E = N D Φ /Dt

The Attempt at a Solution


Heres my attempt. My answers seem very wrong. Please help. Thanks.

a. The Flux cut per second by the wing
Magnetic field = 4.3 X 10-5 T
Length of conductor = 60m
Velocity = 250ms-1
E = Ф ÷ t
E = (4.3 X 10-5 X 60) ÷ 250 = 103 X 10-7 T
You're right that the thing you are looking for is flux/time. However, that will have units of T m^2 / s. What are the units of your calculation above (doing field times length over speed)? (You don't just get tesla.) Once you carry the units through your calculation, I think you'll see what you did wrong. What do you get?
 

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