1. Two long, straight, current-carrying wires, A and B, are parallel and a dista
ID: 1261486 • Letter: 1
Question
1. Two long, straight, current-carrying wires, A and B, are parallel
and a distance d = 1.5 mm as shown in Figure 1. Wire A carries a current
IA = 15 A.
(a) Determine IB such that the net magnetic field at P1 is zero.
(b) Find the magnitude and direction of the net magnetic field at P
A particle of charge q = ?16 ?C enters the region between the wires as
shown in the figure.
(c) Is the particle deflected toward wire A or wire B? Explain.
(d) Determine the speed v of the particle if it experiences a 0.48- N
force.
Explanation / Answer
a) B = u0 *I / 2 x pi x r
Bnet at P1 = u0.IB / 2xpix(d/2 + 2d/3) - u0*IA / 2 x pi x(2d/3)
= u0*IB*6 / 14pi*d - 3u0*IA / 2pi*2d = 0
6IB / 7 = 3IA / 2
Ib = 3 x 15 x 7 / 2 x 6 = 26.25 A .....Ans
b) at P:
B = u0*IB / 2pi*(d/2) - u0*IA / 2pi*(d/2)
B = u0 / 2pi *(d/2) [ IB + IA ]
B =4pi x 10-7 / (2 x pi x 0.0015/2) [ 26.25 - 15 ]
B = 0.0111 T ......Ans
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