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Question

The magnetic field of a plane electromagnetic wave is given by:
B=B0^i[cos(kzωt)]+B1^jcos(kz+ωt), Where B0=3×105 T and B1=2×106 T
The rms value of the force experienced by a stationary charge Q=104 C at z=0 is closest to

A
0.1 N
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B
0.6 N
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C
3×102 N
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D
0.9 N
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Solution

The correct option is B 0.6 N
Given:
B0=3×105 T ,B1=2×106 T
Q=104 C at z=0

Net magnetic field
B0=B20+B21=302+22×10630×106 T

So, Electric field
E0=cB=3×108×30×106=9×103 V/m

Now, rms value of the electric field
Erms=E02=92×103 V/m

Force on the charge,
F=ErmsQ
F=92×103×104=0.64 N
F0.6 N
Hence option (A) is correct.

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