Electromagnetic Induction and aircraft wing

[Sabrina_18]

Homework Statement

4) The wing of an aircraft is 60m long and the aircraft is traveling 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.

 

[alphysicist]

Hi Sabrina_18,

Homework Statement

4) The wing of an aircraft is 60m long and the aircraft is traveling 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?