## Principles of Electricity and Electromagnetism |

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Page 438

Equating X' to zero, Eq. (13.14) yields the

XxRl + X2Rf) (13.15) In general this is a cubic equation in «2 and the three roots

give the three

Equating X' to zero, Eq. (13.14) yields the

**resonant**condition XiX2(Xi + X2) = + (XxRl + X2Rf) (13.15) In general this is a cubic equation in «2 and the three roots

give the three

**resonant**frequencies. In the limit of Ri = R2 = 0, R also vanishes ...Page 510

For the type a circuit the external resistance must be small for instability; thus a

series

is of the type to induce instability and generate oscillations of approximately the ...

For the type a circuit the external resistance must be small for instability; thus a

series

**resonant**circuit which presents a low resistance for the**resonant**frequencyis of the type to induce instability and generate oscillations of approximately the ...

Page 513

An ordinary carbon arc shunted by a series

oscillate strongly in the region of audio frequencies. The pulsations of the arc

itself which are induced by the varying current make the arc act as an acoustic

source ...

An ordinary carbon arc shunted by a series

**resonant**circuit can be made tooscillate strongly in the region of audio frequencies. The pulsations of the arc

itself which are induced by the varying current make the arc act as an acoustic

source ...

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alternating current alternating-current ampere amplifier amplitude angle angular anode antenna applied approximately armature assumed atom axis calculated capacity cathode cell characteristic charge circuit coefficient coil component condenser conducting conductor considered constant curl current flowing curve deflection density determined dielectric dielectric constant direct-current direction discharge effective electric field electromagnetic electromotive force electrons electrostatic element energy equal equation flux force frequency function galvanometer given grad grid hence hysteresis impedance induction integral ions known Laplace's equation length linear load magnetic field magnetic induction magnitude maximum measured metal meter negative normal obtained ohms oscillations output parallel phase plane plate polarization positive potential difference potential wave potentiometer produced proportional quantities radiation radius ratio reactance region represents resistance resonant rotation Show shown in Fig solenoid solution surface temperature terminals theorem torque tube unit vector velocity voltage volts wire written zero