SATHEE: Electrostatics Question 699

Electrostatics Question 699

Question: If electric field in a region is radially outward with magnitude $E = A r$ , the charge contained in a sphere of radius r centered at the origin is

Options:

A) $\frac{1}{4 π ε_{0}} A r^{3}$

B) $A r^{3} 4 π ε_{0}$

C) $\frac{1}{4 π ε_{0}} \frac{A}{r^{3}}$

D) $\frac{4 π ε_{0} A}{r^{3}}$

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Answer:

Correct Answer: B

Solution:

[b] $E = \frac{q}{4 π ε_{0} r^{2}} \Rightarrow A r = \frac{q}{4 π \in_{0} r^{2}}$

$\Rightarrow q = 4 π ε_{0} A r^{3}$

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Electrostatics Question 699

Question: If electric field in a region is radially outward with magnitude E=Ar , the charge contained in a sphere of radius r centered at the origin is

Options:

Answer:

Solution:

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Question: If electric field in a region is radially outward with magnitude $E = A r$ , the charge contained in a sphere of radius r centered at the origin is