1. a) A straight segment of current carrying wire has a current element IL, wher
ID: 1462947 • Letter: 1
Question
1. a) A straight segment of current carrying wire has a current element IL, where I = 3 A and L = 3.0 cm k + 4.0 cm j. The segment is in a region with a uniform magnetic field of 1.3 T i. Find the force on the segment of wire. b) A particle has a charge of q = -10 C. The speed of the particle is 10^6 m/s and the particle is moving in k direction. The charge is in the region with a uniform magnetic field of 20 MuT i + 200 Mu T k and a uniform electric field of 10 N/c j - 5 N/c k. Calculate the force on the particle.Explanation / Answer
F = i*( L x B )
i j k
0 0.04 0.03
L x B = 1.3 0 0
L x B = 1.3*0.03 j - 1.3*0.04k = 0.039 j - 0.052 k
F = i*(L x B ) = 0.117 j - 0.156 k N
+++++++++++++
(b)
F = q*( v x B ) + qE
i j k
0 0 10^6
v x B = 20*10^-6 0 200*10^-6
v x B = (20*10^-6*10^6) j = 20 j
Fb = q*(v x B ) = -200 j N
Fe = E*q = -100j + 50 k
F = Fb + Fe = -300j + 50 k
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