Question

If 100J of energy is used in bringing a certain amount of charge for a potential of 200v to a potential of 150v, find the amount of charge. ​

Answer 1

$\underline{ \underline{ \large{ \frak{ \color{blue}given}}}}$

◆ Energy used for moving charge, E= 100 J

◆ intial electric potential = 200 V

◆ final electric potential = 150 V

$\underline{ \underline{ \large{ \frak{ \color{blue}to \: find}}}}$

Amount of charge = ?

$\underline{ \underline{ \large{ \frak{ \color{blue}solution}}}}$

We have given,

E = 100 J

hence,

● Work done, W = 100 J

as,

$\small{ \tt{potential \:difference = intital \:potential - final\: potential }}$

so,

Potential difference, V = 200 - 150

● Potential difference, V = 50 V

Let,

amount of charge = Q

then,

$\boxed{ \bf{charge = \frac{work \: done}{potential \: difference} }}$

so,

Q = 100 / 50

Q = 2 Coulomb

Hence,

amount of charge moved is 2 C.