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The electric field E is measured at a point P(0,0, d) generate

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The electric field $E$ is measured at a point $P (0, 0, d)$ generated due to various charge distributions and the dependence of $E$ on $d$ is found to be different for different charge distributions. List-I contains different relations between $E$ and $d$ . List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II. (a) $P \to 5; Q \to 3, 4; R \to 1; S \to 2$ (b) $P \to 5; Q \to 3; R \to 1, 4; S \to 2$ (c) $P \to 5; Q \to 3; R \to 1, 2; S \to 4$ (d) $P \to 4; Q \to 2, 3; R \to 1; S \to 5$

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Book:

Electricity and Magnetism (DC Pandey)

Text solutionVerified

(b) List-II
(1)

E = \frac{1}{4 π ε _{0}} \frac{Q}{d ^{2}} \Rightarrow E \propto \frac{1}{d ^{2}}

(2)

E_{axis} = \frac{1}{4 π ε _{0}} \frac{2 Q ( 2 l )}{d ^{3}} \Rightarrow E \propto \frac{1}{d ^{3}}

(3)

E = \frac{λ}{2 π ε _{0} d}

\Rightarrow E \propto \frac{1}{d}

(4)

E = \frac{λ}{2 π ε _{0} ( d - l )} - \frac{λ}{2 π ε _{0} ( d + I )} = \frac{λ ( 2 I )}{2 π ε _{0} d ^{2}}

\Rightarrow E \propto \frac{1}{d ^{2}}

(5)

E = \frac{σ}{2 ε _{0}}

\Rightarrow E

is independent of

d

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The electric field

E

is measured at a point

P (0, 0, d)

generated due to various charge distributions and the dependence of

E

d

is found to be different for different charge distributions. List-I contains different relations between

E

and

d

. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.

(a)

P \to 5; Q \to 3, 4; R \to 1; S \to 2

(b)

P \to 5; Q \to 3; R \to 1, 4; S \to 2

(c)

P \to 5; Q \to 3; R \to 1, 2; S \to 4

(d)

P \to 4; Q \to 2, 3; R \to 1; S \to 5

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Question Text	The electric field $E$ is measured at a point $P (0, 0, d)$ generated due to various charge distributions and the dependence of $E$ on $d$ is found to be different for different charge distributions. List-I contains different relations between $E$ and $d$ . List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II. (a) $P \to 5; Q \to 3, 4; R \to 1; S \to 2$ (b) $P \to 5; Q \to 3; R \to 1, 4; S \to 2$ (c) $P \to 5; Q \to 3; R \to 1, 2; S \to 4$ (d) $P \to 4; Q \to 2, 3; R \to 1; S \to 5$
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	148

Text solutionVerified

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