Electro-(Boards Mania)

1) A thin insulating rod is charged in a uniform manner & the resulting linear charge density is λ.
The rod is bent into the shape of a semi-circle.

Find the magnitude of the electric field strength at the centre.

2) A Gold Leaf Electroscope is charged & leaves are observed to diverge by a certain amount.
A beam of X-rays is allowed to fall upon the electrosope for a short period.

The effect is as follows ::

a) Leaves diverge further.
b) Leaves will collapse.
c) No change in the divergence of leaves.
d) Gold leaves will melt.

8 Answers

1
mona ·

2) is it b)?????

1
abcd ·

1.just integrate an element over the entire region of piR
2.c

13
Avik ·

1) They have given the ans - λ/2πεR....Kaise?

2) Answer's b).... Mona, how ?

13
Avik ·

Fr 1) See if am doing smthing wrong ::

106
Asish Mahapatra ·

dq = λRdθ
∫dE = ∫14πελRdθ/R2sinθ
= λ4πεR [cosθ] (pi to 0)
= λ/2πεR

13
Avik ·

Arrey, yes thnx asish.

But, my taking sin@ ≈@ was wrong ?

106
Asish Mahapatra ·

definitely..

as @ = sin@ only if @-->0

whereas here @ varies from 0 to pi which is not --> 0

13
Avik ·

k theek hai...

Q2 anyone ?

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