1. Kankeshwaridevi Institute of Tech. Name of Students:rajput rahulsinh Enrollment no :130270111005 Subject Code :2151002 Name Of Subject : Engineering Electromagnetics Name of Unit :Magnetostatics Topic:Magnetostatics Name of Faculty : Mrunali Patel

2. Four laws of electromagnetism

3. Electrostatics Charges make E fields and forces charges make scalar potential differences dV E can be found from V Electric forces move charges Electric fields store energy (capacitance)

4. Magnetostatics Currents make B fields currents make magnetic vector potential A B can be found from A Magnetic forces move charges and currents Magnetic fields store energy (inductance)

5. Electrodynamics Changing E(t) make B(x) Changing B(t) make E(x) Wave equations for E and B Electromagnetic waves Motors and generators Dynamic Sun

6. Vector Analysis Dot product: A. B = A x B x + A y B y + A z B z = A B cos  Cross product: |AxB| = A B sin 

7. Examples of vector products Dot product: work done by variable force Cross product: angular momentum L = r x mv

8. Differential operator “del” Del differentiates each component of a vector. Gradient of a scalar function = slope in each direction Divergence of vector = dot product = what flows out Curl of vector = cross product = circulation

9. Practice: 1.15: Calculate the divergence and curl of v = x 2 x + 3xz 2 y - 2xz z Ex: If v = E, then div E = charge; if v = B, then curl B = current.

10. Separation vector differs from position vector: Position vector = location of a point with respect to the origin. Separation vector: from SOURCE (e.g. a charge at position r’) TO POINT of interest (e.g. the place where you want to find the field, at r).

11. Electrostatics: charges make electric fields Charges make E fields and forces charges make scalar potential differences dV E can be found from V Electric forces move charges Electric fields store energy (capacitance)

12. Thank you