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An electron enters a uniform magnetic field B=0.23×102 Wb/m2 at 45 angle to B. Determine radius and the pitch of helical path.

Assume electron speed to be 3×107 m/s.

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Given:

B=0.23×102Wb/m2

θ=450

v=3×107m/s

R=?

P=?

Solution:

R=mv sinθeB=9.1×1031×3×1071.6×1017×0.23×102×sin450=52.46×103m=5.246cm

Pitch P=2πmBe(vcosθ)=2×3.14×9.1×1031×3×107×cos4500.23×102×1.6×1019=3.9mm

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