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Infinite Line of Charge

25.The electr...

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25.The electrostatic potential difference between points A and B, V(A)-V(B), which are distances r(A)=2m and r(B)=1m from an infinitely long thin wire with linear charge density equal to 1 microC is?

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Q. Two points are at distances

a

b

(a < b)

from a long string having linear charge density

λ

. The potential difference between the points is proportional to

Q. An infinitely long line of charge of linear charge density

λ .

The potential difference between two points

A

B

as shown in figure is –

Q. An electric field is expressed as

\to E = 2^i + 3^j

. Find the potential difference

(V_{A} - V_{B})

between two points A and B whose position vectors are given by

r_{A} =^i + 2^j

r_{B} = 2^i +^j + 3^k .

Q. An infinitely long thin straight wire a uniform linear charge density of

\frac{1}{3} C m^{- 1}

. Then the magnitude of electric field intensity at a point

18 c m

N C^{- 1}

.

_{1}

_{2}

_{3}

(r) be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density

λ

, and an infinite plane with uniform surface charge density

σ

_{1} (r_{0}) = E_{2} (r_{0}) = E_{3} (r_{0})

at a given distance r

_{0}

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