Question

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

• A. 4 N/C
• B. 8 N/C
• C. $\sqrt{3}N ⥂ ⥂ / ⥂ C$
• D. 20 N/C

Answer 1

Answer: (D)

20 N/C

Answer 2

By using $W = q \times \Delta V$ and $\Delta V = E\Delta r\cos\theta$

So, $W = qE\Delta r\cos\theta$

$W = 4j = 0.2 \times E \times 2 \times \cos 60$

⇒ E = 20 N/C