## Principles of Electricity and Electromagnetism |

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Page 22

may be thought of for these experiments as an infinite reservoir of charge at an

arbitrary potential

a positive potential, a negative charge will be induced on the other conductor.

may be thought of for these experiments as an infinite reservoir of charge at an

arbitrary potential

**zero**. If the isolated conductor has a positive charge and hencea positive potential, a negative charge will be induced on the other conductor.

Page 41

If b becomes very large, V'b approaches

equation for the capacity between the cylinder and the plane. The equipotentials

and lines of force above the plane are the same as in the preceding case and h =

c/2.

If b becomes very large, V'b approaches

**zero**. V'b is therefore**zero**in theequation for the capacity between the cylinder and the plane. The equipotentials

and lines of force above the plane are the same as in the preceding case and h =

c/2.

Page 596

V • (v X v) = (v X v) • v = 0 or div curl v = 0 For the vector product of a vector with

itself is

irrotational. A vector which may be represented as the gradient of a scalar field is

...

V • (v X v) = (v X v) • v = 0 or div curl v = 0 For the vector product of a vector with

itself is

**zero**from Eq. (D.6). If the vector curl v is**zero**, the vector v is said to beirrotational. A vector which may be represented as the gradient of a scalar field is

...

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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 grid hence 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 scalar Show shown in Fig solenoid solution surface temperature terminals theorem torque tube unit vector velocity voltage volts wire written zero