## Fundamentals of Physics Study Set 2

Physics & Astronomy

## Quiz 29 :

Magnetic Fields Due to Currents

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Q18 Q18 Q18

The diagrams show three circuits consisting of concentric circular arcs (either half or quarter circles of radii r, 2r, and 3r)and radial lengths.The circuits carry the same current.Rank them according to the magnitudes of the magnetic fields they produce at C, least to greatest.

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Q20 Q20 Q20

The diagram shows three equally spaced wires that are perpendicular to the page.The currents are all equal, two being out of the page and one being into the page.Rank the wires according to the magnitudes of the magnetic forces on them, from least to greatest.

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Multiple Choice

Q34 Q34 Q34

The magnetic field at any point in the xy plane is given by , where is the position vector of the point, A is a constant, and is a unit vector in the +z direction.The net current through a circle of radius R, in the xy plane and centered at the origin is given by:

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Multiple Choice

Q36 Q36 Q36

A long straight cylindrical shell has an inner radius R

_{i}and an outer radius R_{o}.It carries a current i, uniformly distributed over its cross section.A wire is parallel to the cylinder axis, in the hollow region (r < R_{i}).The magnetic field is zero everywhere outside the shell (r > R_{o}).We conclude that the wire:Free

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Q37 Q37 Q37

A long straight cylindrical shell has an inner radius R

_{i}and an outer radius R_{o}.It carries a current i, uniformly distributed over its cross section.A wire is parallel to the cylinder axis, in the hollow region (r < R_{i}).The magnetic field is zero everywhere in the hollow region.We conclude that the wire:Free

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Multiple Choice

Q40 Q40 Q40

Two long ideal solenoids (with radii 20 mm and 30 mm respectively)have the same number of turns of wire per unit length.The smaller solenoid is mounted inside the larger, along a common axis.It is observed that there is zero magnetic field within the inner solenoid.The current in the inner solenoid must be:

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Q45 Q45 Q45

The diagram shows three arrangements of circular loops, centered on vertical axes and carrying identical currents in the directions indicated.Rank the arrangements according to the magnitudes of the magnetic fields at the midpoints between the loops on the central axes, from least to greatest.

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Multiple Choice