ECE106 Lecture Notes - Lecture 66: Magnetic Field, Magnetostatics, Dot Product
6 Sep 2018
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If we have a n-turn coil (tightly wound), This will be used when we calculate the inductance of solenoids. (8. 20) (8. 21) In magnetostatics, biot-savart law provides general solution to calculation of magnetic flux density, b . In the more general case analogous to gauss"s law, we have ampere"s law. B d l = 0ienclosed where c is a closed path and ienclosed is the total current enclosed within the surface of c. It basically states that the line integral of b || over the path which is closed (has no beginning and no end) will be proportional to the total current cutting through the surface of the closed path. Like gauss"s law, ampere"s law can be used to solve for the value of b for symmetrical problems. The closed path c has to be perpendicular plane to the current (this makes sure you do not have worry about the dot product j d s) step 2:
