- #1
Natalie89
- 29
- 0
1. Homework Statement
A toroid of a circular cross section whose center is at the origin and the axis the same as the z-axis has 1000 turns with po=10cm, a=1cm. If the toroid carries a 100mA current, find |H| at (6cm, 9cm, 0).
2. Homework Equations
How do I calculate |H| at certain points?
3. The Attempt at a Solution
Knowing that H = NI / 2*pi*po, and po - a < p < po + a, I have found p to be between 9cm and 11 cm.
I assumed H = H1 + H2.
If H1 = ((1000)(0.1) / 2 * pi * 0.9) * (0.06x + 0.09y) = 10.61x + 15.92y
Similarly, H2 is the same except p = 0.11 m. Therefore H2=8.68x + 13.02y.
After adding the two, and then finding the magnitude I get 34.8 A/m, but the answer is 147.1 A/m.
A toroid of a circular cross section whose center is at the origin and the axis the same as the z-axis has 1000 turns with po=10cm, a=1cm. If the toroid carries a 100mA current, find |H| at (6cm, 9cm, 0).
2. Homework Equations
How do I calculate |H| at certain points?
3. The Attempt at a Solution
Knowing that H = NI / 2*pi*po, and po - a < p < po + a, I have found p to be between 9cm and 11 cm.
I assumed H = H1 + H2.
If H1 = ((1000)(0.1) / 2 * pi * 0.9) * (0.06x + 0.09y) = 10.61x + 15.92y
Similarly, H2 is the same except p = 0.11 m. Therefore H2=8.68x + 13.02y.
After adding the two, and then finding the magnitude I get 34.8 A/m, but the answer is 147.1 A/m.