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प्रश्न
An infinite straight conductor is kept along X'X axis and carries a current I. A charge q at point P(0, r) starts moving with velocity `vecv = V_0hatj` as
shown in figure. Find the direction and magnitude of force initially experienced by the charge.
संख्यात्मक
उत्तर
Magnetic field due to an infinite straight conductor in the upper region of X'X-axis,
`B = (mu_0I)/(2 pi r)hatk`
A charge q at point P(0, r) starts moving with velocity `v = v_0hatj`
Force of charge q due to straight conductor wire,
F = q (v × B)
`F = q[(v_0hatj) xx ((mu_0I)/(2 pi r) hatk)]`
⇒ `F = q[(mu_0v_0I)/(2 pi r) (hatj xx hatk)]`
`F = (qmu_0v_0I)/(2ppir)hati ...(because hatj xx hatk = hati)`
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