Question

A charge +2c, is moving from
point 'A' of potential 20V
point B of potential
potential 30V
Find work done
​

Answer 1

Answer:-

$\large{\boxed{\pink{\sf\mapsto Work\:Done=\purple{20J}}}}$

Step by step explanation :-

Given :-

• A charge is +2 C .
• It is moved from point A of potential 20V to point B of potential 30V .

To Find :-

• The work done in moving the charge .

Solution :-

We know that the " Work done in moving a positive charge from one point to another point is called Electrical Potential difference .

➳ By Definition :

B •---------------------←--------- A ( + Q C )

${\underline{\boxed{\red{\bf{\purple{\dag} V_B - V_A\:\:=\:\:\dfrac{Work_{AB}}{Q}}}}}}$

$\tt:\implies V_A-V_B=\dfrac{Work_{AB}}{Q}$

$\tt:\implies 30V - 20V =\dfrac{Work_{AB}}{2C}$

$\tt:\implies 10V \times 2C=Work_{AB}$

$\underline{\boxed{\red{\tt{\longmapsto \:\:\:\:Work_{AB}\:\:=\:\:20\:Joules\:\:\:\:}}}}$

$\boxed{\green{\bf\pink{\dag}\:Hence\: the\:work\:done\:is\:20\:Joules.}}$

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$\large{\underline{\underline{\red{\tt{\purple{\leadsto } More\:to\:Know:-}}}}}$

⇝ Electrical potential is a scalar quantity which is SI unit old named after Alessandro Volta .

⇝ 1 volt is the potential difference between two points when one joule of work is done to move a charge of one columb from one point to another.

⇝ Electrical potential due to charge Q at distance r from it is $\sf\dfrac{kQ}{r}$

⇝ The current is a fundamental quantity in physics with unit ampere.

⇝ The conventional direction of current is taken to be the direction of flow of positive charge or opposite to the direction of flow of electrons.

⇝ A conductor remains in charge when current flows through it.

⇝ For a given conducted the current flowing through it does not vary as the cross-sectional area varies .

⇝ When 1 Ampere current flows through a conductor then 6.25 × 10¹⁸ electrons per second flow across any cross section of the conductor.

⇝ Electric current in a conductor is set up due to the organised motion of free electrons on applying an external source. ( source of electrical energy life cell or battery. )