Example 68. You are given a charge + Qat the origin O (Refer to Fig. 1.91). Consider a sphere S with centre (2, 0, 0) of radius v2 m. Consider another sphere of radius V2 m centered at the origin. Consider the spherical caps he (i) PSQ (ii) PRQ (iii) PWQ, with normals outward to the respective spheres, and (iv) the flat circle PTQ with normal along the x-axis. (a) What is the sign of electric flux through each of the surfaces (i)-(iv) ? (b) What is the relation betweenm the magnitudes of us fluxes through surfaces (i)-(iv) ? cis at (c) Calculate the flux through the surface (ii) directly. Assume that the area of the cap (ii) is A. ch [NCERT] he Fhe ? ITR (2, 0, 0) (0,0,0)

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6:34 PM
0.1KB/s A ll ? 73
+ SL ARORA class 1. O
ne
= 2.78 x 10-11 C.
Example 68. You are given a charge + Qat the origin
O (Refer to Fig. 1.91). Consider a sphere S with centre
(2, 0, 0) of radius v2 m. Consider another sphere of radius
he
V2 m centered at the origin. Consider the spherical caps
ne
(i) PSQ (ii) PRQ (iii) PWQ, with normals outward to the
is
respective spheres, and (iv) the flat circle PTQ with normal
along the x-axis.
(a) What is the sign of electric flux through each of the
surfaces (i)-(iv) ?
(b) What is the relation between the magnitudes of
fluxes through surfaces (i)-(iv) ?
cis
(c) Calculate the flux through the surface (ii) directly.
at
Assume that the area of the cap (ii) is A.
ch
he
he
[NCERT]
?
T]
R.
W
(2, 0, 0)
(0,0, 0)
Fig. 1.91
Solution. For the charge +Q situated at ori O,
the field E points along +ve x-direction i.e.
right.
(a) The outward drawn normal on cap PSQ points
Transcribed Image Text:6:34 PM 0.1KB/s A ll ? 73 + SL ARORA class 1. O ne = 2.78 x 10-11 C. Example 68. You are given a charge + Qat the origin O (Refer to Fig. 1.91). Consider a sphere S with centre (2, 0, 0) of radius v2 m. Consider another sphere of radius he V2 m centered at the origin. Consider the spherical caps ne (i) PSQ (ii) PRQ (iii) PWQ, with normals outward to the is respective spheres, and (iv) the flat circle PTQ with normal along the x-axis. (a) What is the sign of electric flux through each of the surfaces (i)-(iv) ? (b) What is the relation between the magnitudes of fluxes through surfaces (i)-(iv) ? cis (c) Calculate the flux through the surface (ii) directly. at Assume that the area of the cap (ii) is A. ch he he [NCERT] ? T] R. W (2, 0, 0) (0,0, 0) Fig. 1.91 Solution. For the charge +Q situated at ori O, the field E points along +ve x-direction i.e. right. (a) The outward drawn normal on cap PSQ points
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