Near San Francisco, where the vertically downward component of the earth's magnetic field is 6.8 x 10-5 T, a car is traveling forward at 17 m/s. The width of the car is 2.1 m. Find the emf induced between the two sides of the car. If positive charge accumulates on the driver's side, the enter the emf as a positive number. If negative charge accumulates on the driver's side, the enter the emf as a negative number.
To find the induced electromotive force (emf) between the two sides of the car, we can use the equation:
emf = B * v * L
Where:
B = magnitude of the magnetic field
v = velocity of the car
L = length across which the magnetic field is applied
In this case, the length across which the magnetic field is applied is the width of the car, which is given as 2.1 m.
First, let's convert the given units to SI units:
B = 6.8 x 10^-5 T
v = 17 m/s
L = 2.1 m
Now we can substitute these values into the equation to calculate the emf:
emf = (6.8 x 10^-5 T) * (17 m/s) * (2.1 m)
= 2.2212 x 10^-4 V
Therefore, the emf induced between the two sides of the car is 2.2212 x 10^-4 V.