Final answer:
The sliding rod must move at a speed of 1.86 m/s to produce an emf of 0.95 V in a 1.7 T magnetic field.
Step-by-step explanation:
To calculate the speed at which the sliding rod must move to produce an emf of 0.95 V in a 1.7 T magnetic field, we can use the equation:
emf = B * l * v
Where emf is the electromotive force (voltage), B is the magnetic field strength, l is the length of the rod, and v is the velocity of the rod. Rearranging the equation to solve for v, we get:
v = emf / (B * l)
Substituting the given values of emf = 0.95 V, B = 1.7 T, and l = 30.0 cm, which is equal to 0.3 m, we can calculate the speed:
v = 0.95 V / (1.7 T * 0.3 m) = 1.86 m/s
Therefore, the sliding rod must move at a speed of 1.86 m/s to produce an emf of 0.95 V in a 1.7 T magnetic field.