23P3Q04

4a)

The magnetic flux density at a point in a magnetic field is the force per unit length per unit current

acting on a straight current-carrying conductor placed perpendicular to the field.

4bi)

The rod is experiencing a magnetic force because it is carrying a current and placed perpendicular to the magnetic field.

The balance reading decreased because a magnetic force now helping to support the magnet’s weight.

This means that the magnetic force acting on the magnet must be upward.

By Newton’s 3rd Law, the magnetic force acting on the wire must be downward.

With the magnetic field directed from N to S, the current in the rod must be from X to Y. (FLHR)

4bii)

Change in mass reading \displaystyle \Delta m=\frac{202.17-201.62}{2}=0.275\text{ g}

The change is due to the magnetic force:            \displaystyle \begin{aligned}  & \Delta mg=BIL \\ & (0.275\times {{10}^{-3}})(9.81)=B(1.60)(0.12) \\ & B=1.41\times {{10}^{-2}}\text{ T} \end{aligned}

4biii)

No change.

Since the change in magnetic force is same as before, the change in mass reading is also same as before.

COMMENT: The mass of the rod is irrelevant. It only plays the part of exerting the magnetic force on the magnet.

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