Verified Solution • 2025–26 Session moderate

QAIPMT-2004-Ch-2572: NEET 2005 Physics - Class 12 AIPMT-2004-Ch-2572 Solution: Two charges \(q_1\) and \(q_2\) are placed 30 cm apart, as…

Two charges q1q_1 and q2q_2 are placed 30 cm apart, as shown in the figure. A third charge q3q_3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34πϵ0k\frac{q_3}{4\pi\epsilon_0}k where k is

Multiple Choice Options

  • A 8q18q_1
  • B 6q16q_1
  • C 8q28q_2
  • D 6q26q_2

Step-by-Step Verified Solution

We know that potential energy of discrete system of charges is given by U = 1 4 � _ 0 ( q 1 q 2 r 12 + q 2 q 3 r 23 + q 3 q 1 r 31 ) According to question, U i n i t i a l = 1 4 � _ 0 ( q 1 q 2 0.3 + q 2 q 3 0.5 + q 3 q 1 0.4 ) U f i n a l = 1 4 � _ 0 ( q 1 q 2 0.3 + q 2 q 3 0.1 + q 3 q 1 0.4 ) U f i n a l _ U i n i t i a l = 1 4 � _ 0 ( q 1 q 2 0.1 _ q 2 q 3 0.5 ) = 1 4 � _ 0 [ 10 q 2 q 3 _ 2 q 2 q 3 ] = q 3 4 � _ 0 ( 8 q 2 )

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