Question 14

Field of dipole at distance r: E = (1/4πε₀)(3(p·r̂)r̂ − p)/r³. (P) Both dipoles along +ĵ, X is on the equatorial line of each (perpendicular). Each gives E = −p ĵ/(4πε₀r³). Total: −p/(2πε₀r³) ĵ → (2). (Q) Opposite dipoles (+ĵ and −ĵ): fields cancel → (1). (R) Left dipole +ĵ: gives −p ĵ/(4πε₀r³). Right dipole along +î, X on its axis: field = 2p î/(4πε₀r³). Total: p/(4πε₀r³)(2î − ĵ) → (4). (S) Both along +î, X on axis of both: each gives 2p î/(4πε₀r³), total p/(πε₀r³) î → (5). So P→2, Q→1, R→4, S→5, option C.

No written reasoning was returned for this item.

No written reasoning was returned for this item.