Y135YSY Aprnz page 22 of 26 (21) Two long straight wires are separat by 0.120 m.

Question

Y135YSY Aprnz page 22 of 26 (21) Two long straight wires are separat by 0.120 m. The wires carry currents of 8.0 A each in opposite directions, as shown. At a particular instant at point A, a negative charge of-10° C moving at speed v 1.0x106 m/s in the tx direction perpendicular to the wires and in the same x-y plane, as shown in figure. Point A is 0.030 m from the nearer wire. What is the force (magnitude and direction) on the A v ·0.030m 0.120m- charge at this instant? (o) (2.7x103 N, - (a) (4.3x10 3N, -) (d) (4.3x10 3 N, -) (b) (2.7x103 N,+y) (e) (4.3x105 N,+) up

Explanation / Answer

field strength at A = due to left wire + due to right wire

B = u0 I / (2 pi 0.030) - u0 I / (2 pi (0.120 + 0.030))

B = (4pi x 10^-7 x 8 / 2pi) (1/0.03 - 1/0.15)

B = 4.27 x 10^-5 T along z axis.

F = q (v x B)

F = - (10^-6 x 1 x 10^6 x 4.27 x 10^-5) (x^ x z^)

F = - (4.3 x 10^-5)(-Y^)

F = 4.3 x 10^-5 y^

Ans: (e)

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