Question

If 24J of work is done to move a charge of 4 C across two points A and B, then the potential

difference between A and B is

(a) 96 V
(b) 6 A

(c) 6 V
(d) 0.17 V​

Answer 1

Given :

• Work done = 24 J

• Charge = 4 C

To find :

• Potential difference between A and B

Solution :

The relation between work done , charge and potential difference is given by ,

$\star\:\large{\boxed{\purple{\sf{W =Q \times V }}}}$

Where ,

• W is work done
• q is charge
• v is potential difference

We have ,

• W = 24 J
• q = 4 C
• V = ?

By substituting the values ,

$: \implies \sf \: 24 \: J = 4 \: c \times \: v \\ \\ \\ : \implies \sf \: \frac{24}{4} = V \\ \\ \\ : \implies \sf \: 6 \: volts = V \\ \\ \\ : \implies \boxed{ \underline{ \bf{V = 6 \: volts}}}$

The potential difference between A and B is 6 Volts.

Hence , Option(C) is the required answer.

Answer 2

Answer:

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: given \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

• Work done ,(w)= 24 J
• Charge ,(Q)= 4 C

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: To find \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

• Potential difference between A and B, (v)

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: Formula \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

$\large\bigstar \rm\bold \red{W = Q \times V} \bigstar$

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: Note \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

• W = work done
• Q = charge
• V = potential difference
• J = Joule

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: Here \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

$\\ \\ \large \bigstar\rm \bold{ w = 24j} \bigstar \\ \large\bigstar \rm \bold{q = 4c} \bigstar\\ \large \bigstar \rm \bold{v = } \bigstar$

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: solution \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

$\large \rm \bold{ 24j = 4c \times v} \\ \large \rm \bold{ = > 4 \times v = 24} \\ \large \rm \bold{ = >v = \cancel\frac{24}{4} } \\ \large \rm \bold{ = > v = 6}$

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: Therefore \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

• The potential difference between A and B is 6 Volts.

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: Hence\: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

• Option(C) is correct

$\large \bigstar \bf {\underbrace{ \color{navy}{ \: \: \: \: \: \: \: \: \: \: Additional\: information \: \: \: \: \: \: \: \: \: \: \: }} }\bigstar$

Defination:-

The energy that has been converted from electric potential energy.

• We can define electrical energy as the energy generated by the movement of electrons from one point to another.

Units:-

• Joule (J)

• Kilowatt-hour(kWh)

• Electron-Volt(eV)

Uses:-

• The uses of electrical energy are plenty. Some of them are Lighting, cooling, heating. Operating appliances, electronics, computers, machinery. Public transportation systems