Question

a current of 2 A passes through a conductor for 5 min. Potential differences 200 v. calculate the heat produced​

Answer 1

✬ Heat = 120000 J ✬

Explanation:

Given:

• Current is 2 A.
• Time is 5 minutes.
• Potential difference is 200 volts.

To Find:

• Amount of heat produced ?

Formula to be used:

• H = VIT

Solution: Changing time into seconds.

➟ 1 minute = 60 seconds.

➟ 5 minutes = 5 × 60 = 300 seconds.

Here we have

• I = 2 A
• V = 200 V
• T = 300 s

Substituting the values on formula

$\implies{\rm }$ H = VIT

$\implies{\rm }$ H = 200 × 2 × 300

$\implies{\rm }$ H = 400 × 300

$\implies{\rm }$ H = 120000J

Hence, heat produced is 120000 joules.

[ Another Method ]

Formula to be used:

• V = IR
• H = I²RT

Solution: Here we have

• V = 200 v
• I = 2
• R = ? {Resistance}

$\implies{\rm }$ 200 = 2 × R

$\implies{\rm }$ 200/2 = R

$\implies{\rm }$ 100 = R

So resistance is 100 ohms.

Now using second formula

$\implies{\rm }$ H = 2² × 100 × 300

$\implies{\rm }$ H = 4 × 30000

$\implies{\rm }$ H = 120000J

Answer 2

$\huge\bf{\underline{\underline{\gray{GIVEN:-}}}}$

• A current of 2A passes through a conductor for 5 min .

• Potential difference is 200 V .

$\huge\bf{\underline{\underline{\gray{TO\:FIND:-}}}}$

• The heat produced .

$\huge\bf{\underline{\underline{\gray{SOLUTION:-}}}}$

We know that,

$\gray\bigstar\:\bf{\red{\overbrace{\underbrace{\green{Heat\:(W)\:=\:V\:I\:t\:}}}}}$

Where,

• $\bf\blue{V}$ = Voltage

• $\bf\blue{I}$ = Current

• $\bf\blue{t}$ = Time

According to the question,

• $\bf\red{V}$ = 200 V

• $\bf\red{I}$ = 2 A

• $\bf\red{t}$ = 5 min. = 300 second

⇒ Heat (W) = 200 × 2 × 300

⇒ Heat (W) = 120000 J

⇒ Heat (W) = 120 KJ

$\huge\orange\therefore$ The heat produced by the conductor is '120 KJ' .

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✯ Hᴇᴀᴛɪɴɢ Eғғᴇᴄᴛ Oғ Eʟᴇᴄᴛʀɪᴄ Cᴜʀʀᴇɴᴛ

• When a current is passed through a resistor energy is wasted in over coming the resistances of the wire . This energy is converted into heat .

• It is represented as 'W' .

$\purple\bigstar\:\bf{\blue{\overbrace{\underbrace{\pink{Heat\:(W)\:=\:V\:I\:t\:\:\:\:=\:\:I^2\:R\:t\:\:\:\:=\:\:\dfrac{V^2}{R}t\:}}}}}$