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======= ####12. A spherical conductor of radius $10 c m$ has a charge of $3.2 \times 10^{- 7} C$ distributed uniformly. What is the magnitude of electric field at a point $15 c m$ from the centre of the sphere? [2020] $(\frac{1}{4 π ϵ_{0}} = 9 \times 10^{9} N m^{2} / C^{2})$

c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $1.28 \times 10^{5} N / C$

(b) $1.28 \times 10^{6} N / C$

(d) $1.28 \times 10^{4} N / C$

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Answer:

Correct Answer: 12. (a)

Solution:

(a) If the charge on a spherical conductor of radius $R$ is $Q$ , then electric field at distance $r$ from centre is

$\begin{matrix} E = 0 & (if r ∠ R) \\ E = \frac{1}{4 π ϵ_{0}} \frac{Q}{r^{2}} & (if r \geq R) \end{matrix}$

Electric field at a distance $15 c m$ from the centre of sphere will be

$\begin{aligned} E = \frac{9 \times 10^{9} \times 3.2 \times 10^{- 7}}{225 \times 10^{- 4}} \\ = 0.128 \times 10^{6} = 1.28 \times 10^{5} N / C \end{aligned}$

Electric Charges and Fields - Result Question 12

12. A spherical conductor of radius $10 c m$ has a charge of $3.2 \times 10^{- 7} C$ distributed uniformly. What is the magnitude of electric field at a point $15 c m$ from the centre of the sphere? [2020] $(\frac{1}{4 π ϵ_{0}} = 9 \times 10^{9} N m^{2} / C^{2})$

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Answer:

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Electric Charges and Fields - Result Question 12

12. A spherical conductor of radius 10cm has a charge of 3.2×10−7C distributed uniformly. What is the magnitude of electric field at a point 15cm from the centre of the sphere? [2020] (14πϵ0=9×109Nm2/C2)

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Answer:

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12. A spherical conductor of radius $10 c m$ has a charge of $3.2 \times 10^{- 7} C$ distributed uniformly. What is the magnitude of electric field at a point $15 c m$ from the centre of the sphere? [2020] $(\frac{1}{4 π ϵ_{0}} = 9 \times 10^{9} N m^{2} / C^{2})$