A wire is connected to batteries (not shown), and current flows through the wire

Question

A wire is connected to batteries (not shown), and current flows through the wire. The wire lies flat on a table, and you are looking down on it from above. The wire is laid on top of a compass, resting about 4 mm above the needle. The distance d is 4.5 cm. The compass needle deflects 16 degrees from North, as shown. At this location the horizontal component of the Earth's magnetic field is 2e-5 tesla. What is the direction of the magnetic field at location A, midway between the wires, due to the current in the wire? What is the approximate magnitude of the magnetic field at location A, due to the current in the wire? |B^rightarrow | = ______________ T What approximations or assumptions did you make in solving this problem? Assume the Earth's magnetic field is negligible Assume that at the location of the compass the effect of the distant wire is negligible Assume one side of the wire is much longer than 0 Assume the bent end of the wire is far from location A

Explanation / Answer

The compass points in the direction of the net magnetic field, which is the superposition of the Earth’s magnetic field and the magnetic field due to the current in the wire. From the compass deflection, we can calculate the magnetic field due to the current in the wire, at the location of the compass needle. From this magnetic field, we can calculate the current flowing in the wire.

a) Direction is INTO The Page

b) Magnetic field = B = 2.04*10^-6 T

c) ii), iii) and iv) part are correct options

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.