JEE Main 2026 · 6 Apr · Shift 1 · Physics Q49

← JEE Main 2026 · 6 Apr · Shift 1

PhysicsInteger+4 / -1Question 49 of 75

A three coulomb charge moves from the point $(0,-2,-5)$ to the point $(5,1,2)$ in an electric field expressed as $\vec E=2x\hat i+3y^2\hat j+4\hat k$ N/C. The work done in moving the charge is ________ J.

Your answer

Answer and worked solution

Official answer: 186

Work by the field. The field is conservative, so integrate term by term:
$W=q\int\vec E\cdot d\vec r=3\left[x^2+y^3+4z\right]_{(0,-2,-5)}^{(5,1,2)}=3(25+9+28)=186\text{ J}.$

Answer: 186

Topics:Electric potential

← Previous question Next question →

JEE Main 2026 · 6 Apr · Shift 1, Physics question 49