MHT CET20227 Aug 2022Evening ShiftPhysicsElectrostaticsActual
An electric dipole is as shown in figure The electric potential at point P due to the dipole is [ ₀= . permittivity of free space]
Options
- Aa q 2 ₀ (x^2+a^2 )
- B2 a q 2 ₀ (x^2-a^2 )
- C2 a q 2 ₀ (x^2+a^2 )
- Daq 2 ₀ ( x ^2- a ^2 )
Correct answer
D. aq 2 ₀ ( x ^2- a ^2 )
Step-by-step solution
aligned & V _ - q = 1 4 ₀ (- q ) ( x + a ) & V _ + q = 1 4 ₀ (+ q ) ( x - a ) & V _ d = 1 4 ₀ q (( x + a )-( x - a )) ( x ^2- a ^2 ) = 1 2 ₀ ( aq ) ( x ^2- a ^2 ) aligned