SATHEE: Electrostatics 7 Question 19

Electrostatics 7 Question 19

21. Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ$ , respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region

(2013 Adv.)

(a) the electrostatic field is zero.

(b) the electrostatic potential is constant.

(d) the electrostatic field has same direction.

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Answer:

Correct Answer: 21. (c,d)

Solution:

For electrostatic field,

$\begin{aligned} E_{P} = E_{1} + E_{2} & = \frac{ρ}{3 ε_{0}} C_{1} P + \frac{(- ρ)}{3 ε_{0}} C_{1} P \\ = \frac{ρ}{3 ε_{0}} (C_{1} P + P C_{2}) \\ E_{P} & = \frac{ρ}{3 ε_{0}} C_{1} C_{2} \end{aligned}$

Electrostatics 7 Question 19

21. Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ$ , respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region

Answer:

Solution:

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Electrostatics 7 Question 19

21. Two non-conducting spheres of radii R1 and R2 and carrying uniform volume charge densities +ρ and −ρ, respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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21. Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ$ , respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region