A particle of mass m and charge q is in an electric and magnetic field given by E = 2 i ^ + 3 j ^ ; B = 4 j ^ + 6 k ^ The charged particle is shifted from the origin to the point P ( x = 1 ; y = 1

Question

A particle of mass m and charge q is in an electric and magnetic field given by E = 2 i ^ + 3 j ^ ​ ; B = 4 j ^ ​ + 6 k ^ The charged particle is shifted from the origin to the point P ( x = 1 ; y = 1 ) along a straight path. The magnitude of the total work done is :

TestHub · Accepted Answer

Resultant force on the charged particle = F net ​ = q E + q ( V × B ) = ( 2 q i ^ + 3 q j ^ ​ ) + q ( v × B ) ​ Also q ( V × B ) = 0 So, required work done W ​ = F net ​ ⋅ S = ( 2 q i ^ + 3 q j ^ ​ ) ⋅ ( i ^ + j ^ ​ ) = 2 q + 3 q = 5 q ​

Physics - Magnetism Question with Solution | TestHub

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