# Electromagnetic Induction and aircraft wing

• Sabrina_18
The induced emf set up across the wingE = BLVE = Induced EMFB =Flux densityV = VelocityE = 4.3 X 10-5 X 60 X 250 =0.645.For part b, you are correct that the equation is E=BLV, but you need to use the correct value for flux (from part a) and the correct units for length and velocity (in meters and meters per second, respectively). Once you make those corrections, you should get the correct answer for the induced emf.

## 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

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:
Hi Sabrina_18,

Sabrina_18 said:

## 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

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?