Question

Find the potential difference between the point if 20 mj work is done in moving a charge of 100 uc across two points in an electric circuit .​

Answer 1

Answer:

1 mega joule = 1000000 joule then

30 mega joule = 30x 1000000= 30000000

So:

100 C charge flow across two point.

∆V= W/Q= 30000000/100

= 300000 Volt.

hope it helps u !!

Answer 2

Given : The point of 20 MJ work is done in moving a change of 100 uc across two points in an electric circuit.

To Find : Find the potential difference between the two points ?

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Solution : Let the potential difference point be x v.

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$\dag ~\underline{\frak{\pmb{As ~we ~know ~that~:}}}$

• ${\underline{\boxed{\frak{\pmb{V~=~\dfrac{W}{Q}}}}}}$★

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Where,

• V = Potential Difference
• W = Work Done
• Q = Charge

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Solution :

First, we have to change work done MJ to J :

$\qquad:\implies {\sf {Work\: Done\: =\: 20\: MJ}}$

$\qquad\begin{gathered}:\implies \sf Work\: Done =\: 20 \times 1000000\: J\: \:\:\: \small\bigg\lgroup \rm{\pmb{1\: MJ =\: 10^6\: or\: 1000000\: J}}\bigg\rgroup\\\end{gathered}$

$\qquad\begin{gathered}:\implies \sf Work\: Done =\: 20000000\: J\\\end{gathered}$

$\qquad:\implies{\underline{\boxed{\frak{\pink{\pmb{Work\: Done =\: 2 \times 10^7\: J}}}}}}$★

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Again, we have to change charge uc to C :

$\qquad:\implies {\sf{Charge =\: 100\: uc}}$

$\qquad\begin{gathered}:\implies \sf Charge =\: 100 \times 0.000001\: C\: \: \:\:\small\bigg\lgroup \rm{\pmb{1\: uc =\: 0.000001\: or\: 10^{- 6}\: C}}\bigg\rgroup\\\end{gathered}$

$\qquad:\implies {\sf {Charge \:=\: 0.0001}}$

$\qquad:\implies{\underline{\boxed{\frak{\purple{\pmb{Charge =\: 10^{- 4}\: C}}}}}}$★

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Now, we have to find the potential difference :

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Given :

• Work Done (W) = 2 × 10⁷ J
• Charge (Q) = 10-⁴ C

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$\dag ~\underline{\frak{\pmb{According ~to~ the ~given~ question~:}}}$

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$\qquad:\implies \sf V =\: \dfrac{2 \times 10^7}{10^{- 4}}$

$\qquad:\implies {\sf {V =\: 2 \times 10^3}}$

$\qquad:\implies{\underline{\boxed{\frak{\red{\pmb{V~=~2000~V}}}}}}$★

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Hence,

• The potential difference between the points is 2000 V.