an infinite line charge produces a field of 9 into 10 raise to 4 Newton per coulomb at a distance of 2 cm calculate the linear charge density
where to take value of pi and from where 4 came for 1/ 4 epsilon not?
Answers
Answer:
Electric field produced by the infinite line charges at a distance d having linear charge density λ is given by the relation,
E=
2π∈
0
d
λ
λ=2π∈
0
dE
Where,
d=2cm=0.02m
E=9×10
4
N/C
∈
0
= Permittivity of free space
4π∈
0
1
=9×10
9
Nm
2
C
−2
λ=
2×9×10
9
0.02×9×10
4
=10μC/m
Answer:
Electric field produced by the infinite line charges at a distance d having linear charge density λ is given by the relation,
E=
2π∈
0
d
λ
λ=2π∈
0
dE
Where,
d=2cm=0.02m
E=9×10
4
N/C
∈
0
= Permittivity of free space
4π∈
0
1
=9×10
9
Nm
2
C
−2
λ=
2×9×10
9
0.02×9×10
4
=10μC/m
ε0 = 8.8541878128(13)×10−12 F⋅m−1 (farads per metre), with a relative uncertainty of 1.5×10−10. , is approximately 9 × 109 N⋅m2⋅C−2, q1 and q2 are the charges, and r is the distance between their centres.