Magnetic Field

Question 1

Biot-Savarts Law

Answer 1

States
dB = (u•/4||) x idlsin@/r^2

Or

dB = (u•/4||) x qvsin@/r^2

Question 2

Magnetic field for a current carrying loop

Answer 2

B = u•NIr^2 / 2 x (r^2 + x^2)^3/2

Question 3

Magnetic field at centre of a circular loop

Answer 3

B = u•NI/2r

Question 4

Magnetic field of a current carrying circular arc

Answer 4

B = (u•/4||) x I/r x @

Where @-theta

Question 5

Magnetic field for coplanar concentric circular loops with current flowing in same direction

Answer 5

B = (u•/2) x i(1/r1 + 1/r2)

Question 6

Magnetic field for coplanar concentric circular loops with current flowing in different directions

Answer 6

B = (u•/2) x i(1/r1 - 1/r2)

Question 7

Magnetic field in concentric non-coplanar loops

Answer 7

B = (u•/2r) x (i1^2 + i2^2)^1/2

Question 8

Direction of magnetic field in concentric non coplanar loops

Answer 8

Tan@ = B2/B1