11) On a clear day at a certain location, a 96 V / m vertical electric field exi

Question

11) On a clear day at a certain location, a 96 V / m vertical electric field exists near theEarth's surface. At the same place, the Earth's magnetic field hasa magnitude of 6.20 X10-5 T. Compute the energy densities ofthe two fields.

uE = 1nJ/m3
uB = 2µJ/m3
11) On a clear day at a certain location, a 96 V / m vertical electric field exists near theEarth's surface. At the same place, the Earth's magnetic field hasa magnitude of 6.20 X10-5 T. Compute the energy densities ofthe two fields.

uE = 1nJ/m3
uB = 2µJ/m3

Explanation / Answer

Energy density in Electric field  UE   = 1 /2 0E2                                                         = 1 /2 * 8.85*10-12 C2/N m2 ( 96 V/m) 2                                                          = 40.7 *10-9 n J / m3   Energy density in magnetic field UB = 1 /2 B2 /0                                                1 /2 * (6.20*10-5 T ) 2 / 4*10-7 T .m /A                                                           = 1.53*10-3 n J / m3                                               

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