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A +6muC point charge is moving at a cons...

A `+6muC` point charge is moving at a constant velocity of `8xx10^6 ms^-1` in the +y direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame, what is the magnetic field vector it produces at the following points?
(a) `x=0.500m, y=0, z=0,` and (b) `x=0, y=-0.500m, z=0`.

Text Solution

AI Generated Solution

To solve the problem of finding the magnetic field produced by a moving point charge at two specified points, we will use the Biot-Savart Law. Here’s a step-by-step solution: ### Given Data: - Charge, \( q = +6 \, \mu C = 6 \times 10^{-6} \, C \) - Velocity, \( v = 8 \times 10^6 \, m/s \) (in the +y direction) - Points to evaluate: - Point A: \( (x = 0.5 \, m, y = 0, z = 0) \) - Point B: \( (x = 0, y = -0.5 \, m, z = 0) \) ...
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Knowledge Check

  • Positive point charge q=+8.00muC and q'=+3.00muC are moving relative to an observer in Fig. The distance d is 0.120m. When the two charges are at the locations shown in the figure, what are the magnitude and direction of the net magnetic field they produce at point P? (Take v=4.50xx10^6ms^-1 and v'=9.00xx10^6ms^1)

    A
    `4.38xx10^-4T`, into the page
    B
    `4.38xx10^-4T`, out of the page
    C
    `2.16xx10^-4T`, into the page
    D
    `2.16xx10^-4T`, out of the page
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