Question:
If three particles of each charge \( +q \) are placed at the three vertices of an equilateral triangle of side \( \sqrt{3}r \), then the net electric field at the centroid of the triangle is:
If three particles of each charge \( +q \) are placed at the three vertices of an equilateral triangle of side \( \sqrt{3}r \), then the net electric field at the centroid of the triangle is:
Show Hint
In symmetric charge configurations (like an equilateral triangle), equal charges produce a net electric field of zero at the centroid.
Updated On: Mar 18, 2026
- \( \frac{1}{4\pi\varepsilon_0} \cdot \frac{q}{r} \)
- \( \frac{1}{4\pi\varepsilon_0} \cdot \frac{q}{r^2} \)
- \( \frac{1}{4\pi\varepsilon_0} \cdot \frac{3q}{r^2} \)
- zero
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
In an equilateral triangle, the centroid is equidistant from all vertices. Since all three charges are equal and positive, the electric field vectors at the centroid due to each charge are equal in magnitude and symmetrically placed at \(120^\circ\) to one another.
Due to this symmetry, the vector sum of the electric fields cancels out.
Thus, the net electric field at the centroid is zero.
Was this answer helpful?
1
0
Top AP EAPCET Physics Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The radii of the two columns in a U - tube are r1 and r2. When a liquid of density p (angle of contact is $ 0{}^\circ $ ) is filled in it, the level difference of the liquid in the two arms is h. The surface tension of the liquid is: (g = acceleration due to gravity)
- A rigid metallic sphere is spinning around its own axis in the absence of external torque. If the temperature is raised, its volume increases by $9 \%$. The change in its angular speed is
View More Questions
Top AP EAPCET Electrostatics Questions
- The electric field intensity (\(E\)) at a distance of 3 m from a uniform long straight wire of linear charge density 0.2 \(\mu C m^{-1}\) is:
- The capacitance of an isolated sphere of radius \( r_1 \) is increased by 5 times when enclosed by an earthed concentric sphere of radius \( r_2 \). The ratio \( \frac{r_1}{r_2} \) is:
- Two spheres A & B of radii 4 cm & 6 cm are given charges of 80 µC & 40 µC respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is:
- The angle between the electric dipole moment of a dipole and the electric field strength due to it on the equatorial line is:
Two condensers \( C_1 \) & \( C_2 \) in a circuit are joined as shown in the figure. The potential of point A is \( V_1 \) and that of point B is \( V_2 \). The potential at point D will be:
View More Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions