Electric Potential (Calculation for a point charge, Electric Dipole and System of Charges... ) NEET Questions

Electric Potential (Calculation for a point charge, Electric Dipole and System of Charges... ) MCQ Questions

13.
The electric potential due to a short dipole (r >> a) at a point with position vector r is:
A.
V = (1/4πε₀) (p·r̂)/r²
B.
V = (1/4πε₀) p/r
C.
V = (1/4πε₀) p·r̂
D.
V = (1/4πε₀) (p·r̂)/r³
ANSWER :
A. V = (1/4πε₀) (p·r̂)/r²
14.
The potential due to a dipole on its axial line at distance r (r >> a) is:
A.
V = ±p/(4πε₀r²)
B.
V = p/(4πε₀r)
C.
Zero
D.
V = ±2p/(4πε₀r²)
ANSWER :
A. V = ±p/(4πε₀r²)
15.
The potential due to an electric dipole on its equatorial plane is:
A.
Maximum
B.
p/(4πε₀r²)
C.
Zero
D.
2p/(4πε₀r³)
ANSWER :
C. Zero
16.
At large distances, the electric potential of a dipole falls off as:
A.
1/r²
B.
1/r⁴
C.
1/r³
D.
1/r
ANSWER :
A. 1/r²
17.
Compared to a single point charge, the potential of a dipole at a point depends on:
A.
Neither r nor angle
B.
Both r and the angle between r and p
C.
Only the angle
D.
Only r
ANSWER :
B. Both r and the angle between r and p
18.
For a point dipole, the formula V = (p·r̂)/(4πε₀r²) is:
A.
Exact for any value of r
B.
Valid only on the axial line
C.
Approximate, valid only for r >> a
D.
Valid only for r << a
ANSWER :
A. Exact for any value of r