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, Medium
Download our app for free and get started
B$5\,q$
b ${{\vec F}_{{\text{net }}}} = d\vec E + q(\vec v \times \vec B)$
$ = (2q\hat i + 3q\hat i) + q(\vec v \times \vec B)$
$W = {{\vec F}_{net}} \cdot \vec S$
$ = 2q + 3q$
$ = 5q$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Two long parallel wires are at a distance $2d$ apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field $B$ along the line $XX’$ is given by
Two long and parallel straight wires $A$ and $B$ carrying currents of $8.0\; A$ and $5.0\; A$ in the same direction are separated by a distance of $4.0\; cm$. Estimate the force on a $10\; cm$ section of wire $A.$
A long straight wire in the horizontal plane carries a current of $50\, A$ in north to south direction. Give the magnitude and direction of $B$ at a point $2.5\,m$ east of the wire
A conducting loop carrying a current $I$ is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to
To know the resistance $G$ of a galvanometer by half deflection method, a battery of $emf\, V_E$ and resistance $R$ is used to deflect the galvanometer by angle $\theta $. If a shunt of resistance $S$ is needed to get half deflection then $G, R$ and $S$ related by the equation