Question

A 300 V energy source delivers 500 mA for 1 hour. How much energy does this represent

Answer 1

Given :

Applied voltage = 300V

Current flow = 500mA = 0.5A

To Find :

Energy consumed in 1 hr.

Solution :

★ Power dissipated in electric circuit is given by

• P = VI

• P denotes power

• V denotes voltage

• I denotes current

We know that, power is measured as energy consumed per unit time.

➠ P = E / t

➠ E = P × t

➠ E = (VI) × t

First of all we need to convert unit of time into second$.$

We know that, 1 hr = 3600 s

By substituting given values in the formula; we get,

➠ E = 300 × 0.5 × 3600

➠ E = 150 × 3600

➠ E = 540,000

➠ E = 540 kJ

Answer 2

Question :-

A 300 V energy source delivers 500 mA for 1 hour. How much energy does this represent

Answer :-

$\yellow{\bigstar}$ $\large{\rm\purple{E = 540 KJ}}$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

Current drawn ( I ) ↠ 500 mA

Voltage ( V ) of the source ↠ 300 volts

Time ↠ 1 hours

To Find :-

How much energy is consumed ?

Calculations

So , here we go !

First converting current into amperes i.e,

I = 0.5 A

Now, converting time into seconds i.e,

T = 3600 sec .

As per the given :+

By using the formula of energy :-

$P \: = \frac{E}{t}$

E = P × t

E = (Votlage × Current ) × time

Now , Let's find out energy simply by applying formula :-

Now putting up the values in the required formula

E = 300 × 0.5 × 3600

= 150 × 3600

= 540,000

= 540 kJ

$\therefore\underline{\boxed{\textsf{E = {\textbf{540 KJ}}}}} \qquad\qquad \bigg\lgroup\bold{Energy} \bigg\rgroup$

Additional Information :-

✦ What is Current ?

↠ Current is the rate at which electrons flow past a point in a complete electrical circuit. At its most basic, current = flow.

↠ It expresses the quantity of electrons (sometimes called "electrical charge") flowing past a point in a circuit over a given time.

✦ How to calculate Current ?

↠ Current is usually denoted by the symbol I. Ohm's law relates the current flowing through a conductor to the voltage V and resistance R; that is, V = IR. An alternative statement of Ohm's law is I = V/R.

✦ What is the unit of Charge and Electric Current ?

↠Unit of electric charge is coulomb or C, unit of electric current is ampere or A.

Note :-

Ohms Law and Power

$\sf\underline{\purple{\:\:\: \: \: To\: Find \: the \: Voltage ( V ) :- \:\:\:}}$[ V = I x R ] V (volts) = I (amps) x R (Ω)

$\sf\underline{\pink{\:\:\: \: \: To\: Find \: the \: Current ( I ) :- \:\:\:}}$ [ I = V ÷ R ] I (amps) = V (volts) ÷ R (Ω)

$\sf\underline{\purple{\:\:\: \: \: To\: Find \: the \: Resistance (R ) :- \:\:\:}}$ [ R = V ÷ I ] R (Ω) = V (volts) ÷ I (amps)

$\sf\underline{\pink{\:\:\: \: \: To\: Find \: the \: Power ( P ) :- \:\:\:}}$ [ P = V x I ] P (watts) = V (volts) x I (amps)

✮ What is Resistance ?

Resistance refer to the property of materials that allow the flow of electric current. Resistance certainly opposes the flow of current. Furthermore, the unit of resistance is ohms which is represented by the Greek uppercase letter omega Ω.

✮ Formula for Resistance ?

Resistance = voltage drop across a resistor/ current flowing through a resistor

R = \(\frac{V}{I}\)

R = resistance (Ohms, Ω)

V = voltage difference which is between the two ends of a resistor (Volts, V)

I = the current which flows through a resistor (Amperes, A)

✮ What is power ?

Power is the rate energy is moved, or used.

Power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.