Question

Calculate the induced emf E between the center and one end of the baton if the magnetic field of the Earth is 0.500 gauss and is oriented at 18.50∘ with respect to the horizontal. Assume the baton is 40.1 cm in length.

Answer 1

To calculate the induced emf E between the center and one end of the baton, use the formula: E = B*L*v*sin(θ), where B is the magnetic field, L is the length of the baton, v is the velocity, and θ is the angle between the magnetic field and the direction of motion. Plug in the values and calculate the expression to find the induced emf E.

Step-by-step explanation:

To calculate the induced emf E between the center and one end of the baton, we can use the formula: E = B*L*v*sin(θ), where B is the magnetic field, L is the length of the baton, v is the velocity, and θ is the angle between the magnetic field and the direction of motion.

In this case, the length of the baton is 40.1 cm, the magnetic field of the Earth is 0.500 gauss (0.00005 T), and the angle is 18.50°. Let's convert the length to meters and the angle to radians for easier calculation: L = 0.401 m and θ = 0.323 radians.

Now we can plug in the values into the formula: E = (0.00005 T) * (0.401 m) * (7.80 km/s) * sin(0.323 radians).

Calculating this expression gives us the induced emf E.