100 likes | 278 Views
MAGNETIC FIELD DUE TO LONG STRAIGHT CONDUCTOR. Lecture No.11 By. Sajid Hussain Qazi. Ampere’s Law. Andre Ampere. Remember: There are two ways to find the electric field around a charged object. Coulomb’s Law (Superposition) Gauss’s Law This is used for high symmetry cases.
E N D
MAGNETIC FIELD DUE TO LONG STRAIGHT CONDUCTOR Lecture No.11 By. SajidHussainQazi
Ampere’s Law Andre Ampere
Remember: There are two ways to find the electric field around a charged object. • Coulomb’s Law (Superposition) • Gauss’s Law • This is used for high symmetry cases.
There are two ways to calculate magnetic field. • Biot-Savart Law • Ampere’s Law • Used for high symmetry cases.
ds ´ I Ampere’s Law B • For small length elements ds on a closed path (not necessarily circular) • I is enclosed current passing through any surface bounded by the closed path. • Use where there is high symmetry
Sign Convention for the Current in Ampere’s Law positive I r r The current I passing through a loop is positive if the direction of B from the right hand rule is the same as the direction of the integration (ds). I I negative I B B ds ds
Field Outside a Long Straight Wire at a distance r from the center, r > R • The current is uniformly distributed through the cross section of the wire
Field Inside a Long Straight Wire at a distance r from the center, r<R • Inside the wire, the current considered is inside the amperian circle Note the linear relationship of B with r
Field Due to a Long Straight Wire • The field is proportional to r inside the wire • The field varies as 1/r outside the wire • Both equations are equal at r = R