JEE Advanced · Physics · 17. Electrostatics
The electric field E is measured at a point , generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.
| LIST -I | LIST -II | ||
| A) | is independent of d | P) | A point charge at the origin |
| B) | \(E \propto \frac{1}{d}\) | Q) | A small dipole with point charges \(Q\) at \((0,0, l)\) and \(-\operatorname{Qat}(0,0, l)\). Take \(2 l \ll d\) |
| C) | \(E \propto \frac{1}{d^2}\) | R) | An infinite line charge coincident with the \(x\)-axis, with uniform linear charge density \(\lambda\) |
| D) | \(E \propto \frac{1}{d^3}\) | S) | Two infinite wires carrying uniform linear charge density parallel to the \(x\) - axis. The one along \((y-0, z=l)\) has a charge density \(+\lambda\) and the one along \((y=0, z=-l)\) has a charge density \(-\lambda\). Take \(2 l \ll d\) |
| T) | Infinite plane charge coincident with the \(x y\) - plane with uniform surface charge density |
- A a-q,r;b-r,s;c-s,t;d-q,r;
- B a-r;b-t;c-r;d-q,r,s,t;
- C a-t;b-s;c-r,s,t;d-t;
- D a-t;b-r;c-p,s;d-q;
Answer & Solution
Correct Answer
(D) a-t;b-r;c-p,s;d-q;
Step-by-step Solution
Detailed explanation
(i) Point charge
Dipole
for dipole
For line charge
(iv) Two line charge
(v) Electric field due to sheet
is independent of r
Dipole
for dipole
For line charge
(iv) Two line charge
(v) Electric field due to sheet
is independent of r
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