There is an electric field E in X-direction. If the work done on moving a charge of 0.2C 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 ?

There is an electric field E in X-direction. If  the work done on moving a charge of 0.2C 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) \( 3 \, \text{N/C} \)

(b) \( 4 \, \text{N/C} \)

(c) \( 5 \, \text{N/C} \)

(d) \( 20 \, \text{N/C} \)

Answer :  (d) \( 20 \, \text{N/C} \)

\( W = \vec{F} \cdot \vec{x} \)

\( W = E \cdot q \cdot x \cdot \cos\theta = 4 \, \text{J} \)

\( 4 = E \cdot (0.2) \cdot 2 \cdot \cos 60^\circ \)

\( E = \frac{4}{0.2} = \frac{40}{2} = 20 \, \text{N/C} \)