Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

AIIMS 2016

Exam: AIIMS
Year: 2016
Subject: Physics
Chapter: Electrostatics

AIIMS 2016 · Physics · Electrostatics

Three identical charges are placed at the vertices of an...

Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge, (if

k=1 / 4 \pi \varepsilon_0

) is

Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge,

Options

A $2 k \frac{q^2}{r^2}$
B $\frac{k q^2}{2 r^2}$
C $\sqrt{3} k \frac{q^2}{r^2}$
D $\frac{k q^2}{\sqrt{2} r^2}$

Correct answer

C. $\sqrt{3} k \frac{q^2}{r^2}$

Step-by-step solution

Force on charge

q

at

A

: (i) Due to

B, f=k q \times \frac{q}{r^2} or f=\frac{k q^2}{r^2}

along

B A

(ii) Due to

C

,

f=\frac{k q^2}{r^2}

along

C A

Resultant force

=F

\begin{aligned} & F^2=f^2+f^2+2 f \times f \times \cos 60^{\circ} \\ & F^2=2 f^2+\frac{2 f^2 \times 1}{2}=3 f^2 \text{ or } \quad F=\sqrt{3} f \\ & \text{ or Resultant force }=\sqrt{3} \frac{\mathrm{kq}}{r^2}\end{aligned}

$$

Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge,

Practice Electrostatics on Quantrex Academy →

More from Electrostatics

The electric field at a point in a certain region of free space due to a charge Q is 0.… MHT CET Medical 2026 A closed surface encloses n electric dipoles. The net electric flux through the closed… MHT CET Medical 2026 A hollow metal sphere of radius 5\ cm is charged such that the potential on its surface… MHT CET Medical 2026 Four infinitely large planar charged sheets are placed parallel to each other as shown in… MHT CET Medical 2026 The electric potential 'V' as a function of distance x (in metre) is V = 4x^2 + 6x - 8… MHT CET Medical 2026 A uniform electric field is given as E = 4 × 10^4\, j \ N/C . The flux of this field… MHT CET Medical 2026 Assume that the electric field E = 30 x^2 i exists in space. Then the potential… MHT CET Medical 2026 Two point charges +8q and -2q are located at x=0 and x=L respectively. What is the… MHT CET Medical 2026 Full Electrostatics list All AIIMS PYQs