Dr. Milica Markovi Student\'s Name page 3 3. Problem 3. (25 pts Two in nitine cu

Question

Dr. Milica Markovi Student's Name page 3 3. Problem 3. (25 pts Two in nitine currents that each lie symmetrically around the a in the xy plane and are spaced by a distance dlem P(0.1.0) (cml, , 4mA, fnd Ia soch tht 1. (25 pts] Problem 4 A rectangular boop is situated in a uniform time-harmonic magnetic Gield of tmagnetic flux density produced by the conductor aligned with the 2-axis. The current in the conductor is i(t)- 7 (a) [10 pts]Derive the direction and magnitude (as a function of time) of the magpetic ield produced by the infinite straight conductor using Ampere's law (b) [5 pts]Sketch the magnetie field found in the previous step. (c) [10 pts]Find the direction of the current and enf polarity in the rectangular loop at t O 11. December, 2017 EEEI61 California State University Sacramento

Explanation / Answer

Answer:-3) Magnetic field due to infinite long wire is given by-

B = (meu0/2*pi)x(I * r). (meu0) = 4*pi x 10-7 H/m

For first wire-

r1 = (0.5 + 1) cm = 1.5 cm = 0.015 m, and I1 = 4 mA. Hence magnitude of magnetic field,
B1 = (2x10-7x 0.004 /0.015) T

So B1 = 0.53 x 10-7. The direction is downward at point P.

To make B = 0 at point P, B2 must be same in magnitude and direction should be upward at point P. For this magnitude and r2 = 0.005 m, the required current is-

I2 = (0.53 x 10-7 x 2 x pi x r2)/(meu0) = 1.325 mA. But since B2 must be oppsite of B1, so I2 must be opposite in direction of what is shown in figure. So I2 = -1.325 mA.

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

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