There is an electric field E in x-direction. If the work done on moving a charge of 0.2 C through a distance of 2 m along a line making an angle 60° with x-axis is 4 J, then what is the value of E?

Question

There is an electric field E in x-direction. If the work done on moving a charge of 0.2 C through a distance of 2 m along a line making an angle 60° with x-axis is 4 J, then what is the value of E? (A) 5 N / C (B) 20 N/ C (C)  √ 3 N / C (D) 4 N / C

Tardigrade Admin · Accepted Answer

Charge (q) = 0.2 C; Distance (d) = 2 m; Angle

θ = 6 0^{\circ}

and work done (W) = 4 J.
Work done in moving the charge (W)
=

F . d cos θ = qE d cos θ

or, E =

\frac{W}{q d cos θ} = \frac{4}{0.2 \times 2 \times cos 6 0 ^{\circ}} = \frac{4}{0.4 \times 0.5}

= 20 N / C.

Q. There is an electric field E in x-direction. If the work done on moving a charge of 0.2 C through a distance of 2 m along a line making an angle 60 $^{\circ}$ with x-axis is 4 J, then what is the value of E?

5 N / C

20 N/ C

$3$ N / C

4 N / C

Charge (q) = 0.2 C; Distance (d) = 2 m; Angle $θ = 6 0^{\circ}$ and work done (W) = 4 J.
Work done in moving the charge (W)
= $F . d cos θ = qE d cos θ$
or, E = $\frac{W}{q d cos θ} = \frac{4}{0.2 \times 2 \times cos 6 0 ^{\circ}} = \frac{4}{0.4 \times 0.5}$
= 20 N / C.

Q. There is an electric field E in x-direction. If the work done on moving a charge of 0.2 C through a distance of 2 m along a line making an angle 60∘ with x-axis is 4 J, then what is the value of E?