Question

Refer to the drawing that accompanies Check Your Understanding Question 14. Suppose that the voltage of the battery in the circuit is 2.7 V, the magnitude of the magnetic field (directed perpendicularly into the plane of the paper) is 0.90 T, and the length of the rod between the rails is 0.29 m. Assuming that the rails are very long and have negligible resistance, find the maximum speed attained by the rod after the switch is closed.

Answer 1

Answer:

Maximum speed of the rod, v = 10.34 m/s

Explanation:

It is given that,

Voltage of the battery, V = 2.7 V

The magnetic field perpendicularly into the plane of the paper is, B = 0.9 T

Length of the rod between the rails, l = 0.29 m

Due to the motion of the rails inside the magnetic field, an emf will induced in it which is given by :

$\epsilon=Blv$

v is the speed attained by the rod

$v=\dfrac{\epsilon}{Bl}$

$v=\dfrac{V}{Bl}$

$v=\dfrac{2.7}{0.9\times 0.29}$

v = 10.34 m/s

So, the maximum speed attained by the rod after the switch is closed is 10.34 m/s. Hence, this is the required solution.