The electric potential at a perpendicular distance r from a long straight wire of cross-sectional radius a is given by v() = -K In, a where K is a constant. Calculate the electric field as a function of distance. Hence, using Gauss's theorem, determine the charge q per unit length of the wire. A second identical wire, carrying charge -q per unit length, is placed parallel to the first at a distance d from it. Calculate the potential difference between the wires, assuming that d » a.

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The electric potential at a perpendicular distance r from a long straight
wire of cross-sectional radius a is given by
v(1) = -K In,
a
where K is a constant. Calculate the electric field as a function of
distance. Hence, using Gauss's theorem, determine the charge q per unit
length of the wire.
A second identical wire, carrying charge -q per unit length, is placed
parallel to the first at a distance d from it. Calculate the potential
difference between the wires, assuming that d » a.
Transcribed Image Text:The electric potential at a perpendicular distance r from a long straight wire of cross-sectional radius a is given by v(1) = -K In, a where K is a constant. Calculate the electric field as a function of distance. Hence, using Gauss's theorem, determine the charge q per unit length of the wire. A second identical wire, carrying charge -q per unit length, is placed parallel to the first at a distance d from it. Calculate the potential difference between the wires, assuming that d » a.
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