Question

प्रश्न 5. बिंदु आवेश विभव व विद्युत द्विध्रुव निकाय के कारण विद्युत विभव में दों
अन्तर लिखिए. एक विद्युत द्विध्रुव के बढाए गए अक्ष पर स्थित किसी बिंदु
पर विद्युत् विभव हेतु व्यंजक भी प्राप्त कीजिए.
अंक 2+2 शब्दसीमा 75-150
Q.5 Mention two differences between potential due to a point
charge and potential due to an electric dipole. Also derive an
expression for the electric potential at a point on the extended
axis of an electric dipole.​

Answer 1

Answer:

ANSWER

Consider an electric dipole AB in which point charges +q and -q are separated by a distance 2l. Let P be a point on it's axis seperated by a distance r from the dipole's center O.

Electric dipole moment, p = q (2l)

Electric potential (V

A

) due to +q charge

V

A

=

4πϵ

0

1

r−l

q

Electric potential (V

B

) due to +q charge

V

B

=

4πϵ

0

1

r+l

−q

Therefore, total electric potential at P due to dipole will be

V=

4πϵ

0

q

[d

r−l

1

−

r+l

1

]

=

4πϵ

0

q

r

2

−l

2

2l

=

4πϵ

0

p

r

2

−l

2

1

Now, l<<r (short dipole)

V=

4πϵ

0

p

r

2

1

(for axial position)

For equatorial position, V=0 as charges are equal in magnitude with opposite signs they cancel each other's effe

Answer 2

Answer:

vibhav ka formula and vayanjak