To understand how to use the principle of superposition in conjunction with the

Question

To understand how to use the principle of superposition in conjunction with the Biot-Savart (or Ampere's) law.

From the Biot-Savart law, it can be calculated that the magnitude of the magnetic field due to a long straight wire is given by

Bwire=?0I/2?d ,

where ?0 (=4?×(10^?7T)?m/A) is the permeability constant, I is the current in the wire, and d is the distance from the wire to the location at which the magnitude of the magnetic field is being calculated.

The same result can be obtained from Ampere's law as well.



The direction of vector B? can be found using the right-hand rule. (Take care in applying the right-hand rule. Many students mistakenly use their left hand while applying the right-hand rule since those who use their right hand for writing sometimes automatically use their "pencil-free hand" to determine the direction of B? .)

A) Which of the vectors best represents the direction of the magnetic field created at point K (see the diagram in the problem introduction) by wire 1 alone?

B) Which of the vectors best represents the direction of the magnetic field created at point K by wire 2 alone?

C) Which of these vectors best represents the direction of the net magnetic field created at point K by both wires?

D) Find the magnitude of the magnetic field Bsub1K created at point K by wire 1.

E) Find the magnitude of the net magnetic field BsubK created at point K by both wires

Explanation / Answer

Answers:

( a) The thrid vector best represents the direction of the magnetic field created at point K by wire 1 alone

Answer: 3 correct

( b)  The thrid vector best represents the direction of the magnetic field created at point K by wire 2 alone:

Answer: 3 correct

(c) Net field is also in the diretion of vector 3.

Answer: 3 correct

(d)

Magnitude of field created by wire 1:

B1 = 0I / 2d

(e)

Magnitude of field created by both wires:

    B1 = 0I / d

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

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