MHT CET202411 May 2024Evening ShiftPhysicsElectrostaticsActual
A sphere ' A ' of radius ' R ' has a charge ' Q ,' on it. The field at point B outside the sphere is ' E '. Now another sphere of radius ' 2 R ' having a charge ' -2 Q ' is placed at B . The total field at the point midway between A and B due to both the spheres is
Options
- AE
- B3 E
- C12 E
- D15 E
Correct answer
C. 12 E
Step-by-step solution
The field at point ' B ' due to sphere of charge 'Q' will be, E = KQ r ^2 Electric field at mid-way between points ' A ' and ' B ' will be, aligned E^ & = K Q ( r 2 )^2 + K(2 Q) ( r 2 )^2 & = 4 K Q r^2 + 8 KQ r^2 E^ & = 12 KQ r ^2 =12 E aligned