## Principles of Electricity and Electromagnetism |

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Page 314

3 ) This is the differential

induction at any point which forms the basis for the discussion of the induction of

currents in continuous media . The differential

magnetic ...

3 ) This is the differential

**equation**relating the electric field and magneticinduction at any point which forms the basis for the discussion of the induction of

currents in continuous media . The differential

**equations**for the electric andmagnetic ...

Page 580

Before a complete discussion of this

consider the auxiliary

as Eq . ( C . 1 ) , except that 0 has replaced f ( t ) . If xı and X2 are any two

solutions of ...

Before a complete discussion of this

**equation**is possible , it is necessary toconsider the auxiliary

**equation**Adapte + Box + Ca = 0 ( C . 2 ) This is the sameas Eq . ( C . 1 ) , except that 0 has replaced f ( t ) . If xı and X2 are any two

solutions of ...

Page 581

gt + loge a Or X = ae - ot ( C . 4 ) As the

arbitrary constant appearing . This constant may be determined in terms of the

value of x at a particular value of t ; for example , if x = xo when t = 0 , then a = xo

...

gt + loge a Or X = ae - ot ( C . 4 ) As the

**equation**is of the first order , a is the onlyarbitrary constant appearing . This constant may be determined in terms of the

value of x at a particular value of t ; for example , if x = xo when t = 0 , then a = xo

...

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angle applied approximately assumed atom axis becomes calculated capacity carrying cell characteristic charge circuit closed coil component condition conducting conductor connected considered constant curve density depends determined dielectric difference direction discharge discussion distance effective electric electrons element energy equal equation evident expression factor field flow flux force frequency function galvanometer given grid hence impedance important increases indicated induction integral ions known length limited linear load losses magnetic magnetic field magnitude maximum means measured mechanical metal meter method negative normal obtained oscillations parallel path period phase placed plate positive potential present produced proportional quantities radius ratio reduced region relation represents resistance respect result rotation seen separation Show shown simple solution space surface temperature terminals transformer tube unit vector volts volume wave wire written zero