Please generate a detailed and visually appealing image of an airplane flying high over a region of the Earth. The plane is moving at high speed, and you can see the eddies and currents swirling in its wake. Below it, the region of Earth exudes a nearly vertical, unseen magnetic field represented by subtle, ethereal strands of glowing energy rising from the ground. Notably, there is no text included in the image. To indicate the question is about a scientific concept, include an image of a formula written on an invisible whiteboard floating in space, without any specific numbers or variables.

An airplane traveling at 9.50 102 km/h passes over a region where Earth's magnetic field is 4.4 10-5 T and is nearly vertical. What voltage is induced between the plane's wing tips, which are 75 m apart?

What's the formula for this question?

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امك

your mum

The formula you would use to find the voltage induced between the plane's wingtips is given by:

V = B * L * v

Where:
V = voltage induced (in volts)
B = magnetic field strength (in teslas)
L = length of the wingtips (in meters)
v = velocity of the plane (in meters per second)

In this case:
B = 4.4 * 10^-5 T (given)
L = 75 m (given)
v = 9.50 * 10^2 km/h = (9.50 * 10^2 km/h) * (1000 m/km) * (1 h/3600 s) = 2.64 * 10^2 m/s (converted to m/s)

So, plugging the given values into the formula:

V = (4.4 * 10^-5 T) * (75 m) * (2.64 * 10^2 m/s)

Now, you can calculate the voltage induced by multiplying these values together.

Convert 950 km/h to 264 m/s.

V = E*L where E is the induced force per unit charge, v B

V = v B L

V = volts, v = velocity