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Consider a 25-cm-long zero-resistance metal rod that moves horizontally on frictionless, zero-resistance parallel rails at a constant speed of 12 m/s within a 0.15 T uniform magnetic field, as shown below. The rails are connected by a conducting path that has a resistance of 1.5Ω. Determine the force required to maintain the rod's speed.

A miniature model train carrying a 1.2 m long straight metal rod is moved along a circular track within a uniform magnetic field. The field has a strength of 2.0 × 10-4 T and is oriented perpendicularly to the track. If the scientists want to measure a motional emf of 2.0 V induced in the rod, how fast should the model train travel? Assume the rod is perpendicular to the magnetic field and its velocity.
An aluminium rod of length 8.0 cm is moved through a magnetic field perpendicular to the rod, resulting in a potential difference of 0.040 V across the rod. Determine the strength and direction (inward or outward of the page) of the magnetic field in this scenario.

Consider a 25-cm-long zero-resistance metal rod that moves on frictionless, zero-resistance parallel rails at a constant speed of 12 m/s within a 0.15 T uniform magnetic field, as shown below. The rails are connected by a conducting path that has a resistance of 1.5Ω. Determine the induced current in the circuit.
