A charge of $- 2 C$ $-2 C$ is at the origin. How much energy would be applied to or released from a $4 C$ $4 C$ charge if it is moved from $(7, 5)$ $(7 ,5 )$ to $(9, - 2)$ $(9 ,-2 )$ ?

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A charge of $- 2 C$ $-2 C$ is at the origin. How much energy would be applied to or released from a $4 C$ $4 C$ charge if it is moved from $(7, 5)$ $(7 ,5 )$ to $(9, - 2)$ $(9 ,-2 )$ ?

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Answer 1 · 2016-02-11T19:03:47

$W = 0, 062 J$ $W=0,062 J$

Explanation:

$V = k \cdot \frac{q}{d} voltage of any charge on the any point$ $V=k*q/d" voltage of any charge on the any point "$
$V_{A} = k \cdot \frac{q_{1}}{\sqrt{74}} potential of charge of -2C on the point(7,5)$ $V_A=k*q_1/sqrt 74 " potential of charge of -2C on the point(7,5)"$
$V_{B} = k \cdot \frac{q_{1}}{\sqrt{85}} potential of charge of -2C on the point(9,-2)$ $V_B=k*q_1/sqrt 85" potential of charge of -2C on the point(9,-2)"$
$V_{A B} = V_{B} - V_{A}$ $V_(AB)=V_B-V_A$
$V_{A B} = k \cdot q (\frac{1}{\sqrt{85}} - \frac{1}{\sqrt{74}})$ $V_(AB)=k*q(1/sqrt 85-1/sqrt 74)$
$V_{A B} = k \cdot q \frac{\sqrt{74} - \sqrt{85}}{\sqrt{74 \cdot 85}}$ $V_(AB)=k*q(sqrt 74-sqrt 85)/sqrt (74*85)$
$W = q \cdot V_{A B}$ $W=q*V_(AB)$
$energy required for charge of 4C to move from(7,5) to (9,-2)$ $"energy required for charge of 4C to move from(7,5) to (9,-2)"$
$W = 4 \cdot k \cdot q \frac{\sqrt{74} - \sqrt{85}}{\sqrt{74 \cdot 85}}$ $W=4*k*q(sqrt 74-sqrt 85)/sqrt (74*85)$
$W = 4 \cdot (- 2) \frac{\sqrt{74} - \sqrt{85}}{\sqrt{74 \cdot 85}}$ $W=4*(-2)(sqrt 74-sqrt 85)/sqrt (74*85)$ *
$W = - 8 \cdot \frac{8, 602 - 9, 219}{79, 31}$ $W=-8*(8,602-9,219)/(79,31)$
$W = 0, 062 J$ $W=0,062 J$

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A charge of $- 2 C$ $-2 C$ is at the origin. How much energy would be applied to or released from a $4 C$ $4 C$ charge if it is moved from $(7, 5)$ $(7 ,5 )$ to $(9, - 2)$ $(9 ,-2 )$ ?

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Explanation:

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A charge of −2C-2 C is at the origin. How much energy would be applied to or released from a 4C 4 C charge if it is moved from (7,5) (7 ,5 ) to (9,−2)(9 ,-2 ) ?

1 Answer

Explanation:

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A charge of $- 2 C$ $-2 C$ is at the origin. How much energy would be applied to or released from a $4 C$ $4 C$ charge if it is moved from $(7, 5)$ $(7 ,5 )$ to $(9, - 2)$ $(9 ,-2 )$ ?