Worksheet: Magnetic Flux

In this worksheet, we will practice determining the magnetic flux through a loop in a magnetic field and recognising changes in the magnetic flux through a loop.

Q1:

A rectangular coil of wire has sides of lengths 25 cm and 45 cm. The coil is placed into a magnetic field of 0.35 T. All the sides of the turns of the coil are perpendicular to the direction of the field. The flux linkage of the coil is 1.55 Wb. How many turns are in the coil? Round your answer to the nearest whole number of turns.

Q2:

Two identical loops of conducting wire are in a uniform magnetic field, as shown in the diagram. How does the magnetic flux through both loops compare?

  • AThe magnetic flux through both loops is the same as they have the same area.
  • BLoop B has greater flux due to its orientation relative to the field lines and loop A has no net flux.
  • CLoop B has a greater magnetic flux through it.
  • DLoop A has a greater magnetic flux through it.
  • EThe magnetic flux through both loops is equal as they are placed in the same field.

Q3:

A rectangular coil of wire has sides of lengths 35 cm and 55 cm. The coil contains 50 turns. The coil is placed into a magnetic field of 0.15 T. All the sides of the turns of the coil are perpendicular to the direction of the field. What is the flux linkage of the coil?

Q4:

A circular loop of wire has a radius of 0.40 m. The loop is perpendicular to a uniform magnetic field. The magnetic flux through the loop is 12 mWb. What is the strength of the magnetic field?

Q5:

A rectangular loop of conducting wire is in a uniform magnetic field, as shown in the diagram. The magnetic field strength is 0.045 T. The 0.50 m long sides of the loop of wire are perpendicular to the magnetic field and the 0.40 m long sides of the loop make an angle of 20 with a line perpendicular to the magnetic field. What is the magnetic flux through the loop?

Q6:

A circular loop of wire is perpendicular to a 0.16 T uniform magnetic field. The magnetic flux through the loop is 24 mWb. What is the radius of the loop?

Q7:

A rectangular loop of conducting wire is in a uniform magnetic field, as shown in the diagram. The magnetic field strength is 0.085 T. The direction of the magnetic field makes an angle of 60 with the 0.20 m long sides of the loop. What is the magnetic flux through the loop?

Q8:

All the sides of a rectangular loop of conducting wire are perpendicular to a uniform magnetic field, as shown in the diagram. The magnetic field strength is 0.050 T. What is the magnetic flux through the loop?

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