Question

If potential difference between two points in a circuit is 15 V. Find the work
done if 5A electric current flows through it for 1 min.​

Answer 1

Solution :

⏭ Given:

⚛ Potential difference = 15V

⚛ Current flow = 5A

⚛ Time interval = 1min

⏭ To Find:

⚛ Work done durring current flow

⏭ Concept:

⚛ First we have to find out charge after that we can calculate work done during current flow.

⏭ Formula:

• Formula of charge

$\bigstar \: \underline{ \boxed{ \bold{ \sf{ \pink{ \large{q = I \times t}}}}}}$

• Formula of work done

$\bigstar \: \underline{ \boxed{ \bold{ \sf{ \blue{ \large{W = q \times ΔV}}}}}}$

⏭ Terms indication:

• q denotes charge
• I denotes current flow
• t denotes time interval
• W denotes work done
• ΔV denotes p.d.

⏭ Conversation:

⚛ 1min = 60sec

⏭ Calculation:

• Calculation of charge

$\implies \sf \: q = I \times t \\ \\ \implies \sf \: q = 5 \times 60 \\ \\ \implies \sf \: \boxed{ \green{ \sf{q = 300 \: C}}}$

• Calculation of work done

$\implies \sf \: W = q \times ΔV \\ \\ \implies \sf \: W = 300 \times 15 \\ \\ \implies \sf \: W = 4500 \\ \\ \implies \: \underline{ \boxed{ \bold{ \sf{ \orange{ \large{Work \: done = 4.5 \: kJ}}}}}} \: \gray{ \bigstar}$