A particle of mass m and charge q is in an electric and magnetic field given by vec E = 2hat{i} + 3h

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4.Moving Charges and Magnetism

medium

A particle of mass $m$ and charge $q$ is in an electric and magnetic field given by

$\vec E = 2\hat i + 3\hat j ;\, B = 4\hat j + 6\hat k$

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

A

$(0.35)\,q$

B

$5\,q$

C

$(2.5)\,q$

D

$(0.15)\,q$

(JEE MAIN-2019)

Solution

${{\vec F}_{{\text{net }}}} = d\vec E + q(\vec v \times \vec B)$

$ = (2q\hat i + 3q\hat i) + q(\vec v \times \vec B)$

$W = {{\vec F}_{net}} \cdot \vec S$

$ = 2q + 3q$

$ = 5q$

Standard 12

Physics

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