Gauss Theorem Numerical on Charged Spherical Shell Class-12 Nootan ISC Physics Ch-2. Step by step solutions of Kumar and Mittal Physics of Nageen Prakashan as council latest prescribe guideline for upcoming exam. Visit official Website CISCE for detail information about ISC Board Class-12 Physics.
Gauss Theorem Numerical on Charged Spherical Shell Class-12 Nootan ISC Physics Ch-2
| Board | ISC |
| Class | 12 |
| Subject | Physics |
| Book | Nootan |
| Chapter-2 | Gauss Theorem |
| Topics | Numerical on Charged Spherical Shell |
| Academic Session | 2025-2026 |
Numerical on Charged Spherical Shell
Que-11: A uniformly charged conducting sphere of 1.2 m radius has a surface charge density of 80.0 µC/m². What is the charge on the sphere and the total electric flux leaving the surface of the sphere?
Ans-11: Charge density = q/A
= 80 x 10^-6 = q/4πr^2
Therefore q = 80 x 10^-6 x 4 x 3.14 x (1.2)^2
= 1.45 x 10^-3 C
and total electric flux
= q/ε0 = 1.45 x 10^-3 / 8.85 x 10^-12
= 1.64 x 10^8 N m^2 C^-1
Que-12: The electric field due to a charged conducting sphere of radius 10 cm, at a distance of 20 cm from the centre of the sphere is 1.5 x 10^3 N/C and points radially inwards. What is the charge on the sphere?
Ans-12: Electric field due to sphere
= – 1.56 x 10^8 N/C (negative sign for directing radially inward)
Therefore -1.5 x 10^3 = q / 4πε0r^2
=> q = -1.5 x 10^3 x 4 x 3.14 x 8.85 x 10^-12 x (0.2)^2
= -6.67 x 10^9 C = -6.67 nC
radius of sphere is irrelevant as it is less than distance ‘r’
Que-13: A sphere of metal has a radius of 12 cm and carries a charge of 1.6 x 10^-7 C distributed uniformly on its surface. Calculate the electric field intensity at a point (i) inside the sphere, (ii) just outside the sphere and (iii) 18 cm from the centre of the sphere.
Ans-13: (i) Inside a hollow charged sphere
Electric field is zero
(ii) just outside the sphere
E = 1/4πε0 Q/R^2
= 9 x 10^9 x 1.6 x 10^-7 / (12 x 10^-2)^2
= 1.0 x 10^5 N/C
(iii) again at distance 18 cm from centre
E = 1/4πε0 Q/r^2
= 9 x 10^9 x 1.6 x 10^-7 / (18 x 10^-12)^2
= 4.4 x 10^4 N/C
— : End Gauss Theorem Numerical on Charged Spherical Shell Class-12 Nootan ISC Physics Ch-2. :–
Return to : – Nootan Solutions for ISC Class-12 Physics
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