Question

100J heat is generated in a resistance of 4ohm in 1 second.What is the potential difference of the resistor?

Answer 1

Given :-

• 100J heat is generated in a resistance of 4ohm in 1 second.

To find :-

• Potential difference

Solution :-

According to joules law of heating

• H = I²Rt

Where " H " is heat produced, " I " is current, " R " resistance and " t " is time.

• Heat produced (H) = 100 J

• Resistance (R) = 4 Ω

• Time (t) = 1 s

According to question

→ H = I²Rt

→ 100 = I² × 4 × 1

→ 100 = 4I²

→ I² = 100/4

→ I² = 25

→ I = √25

→ I = 5 A

Therefore, current 5 A

• According to Ohm's law

→ V = IR

Where " V " is potential difference

→ V = 5 × 4

→ V = 20 V

Hence,

• Potential difference is 20 V

Answer 2

Answer:

Given :-

• 100 J heat is generated in a resistance of 4Ω in 1 seconds.

To Find :-

• What is the potential difference of the resistor.

Formula Used :-

✪ $\boxed{\bold{\large{H\: =\: I^2Rt}}}$

✪ $\boxed{\bold{\large{V\: =\: IR}}}$

Solution :-

➾ The produced heat is given out,

➤ H = I²Rt

Where,

• H = 100 J
• R = 4 Ω
• t = 1 seconds

➔ According to the question by using the formula we get,

⇒100 = I² × 4 × 1

➠ I = 25 A

➾ The potential difference is given as,

➤ V = IR

⇒V = 5 × 4

➳ V = 20 V ✔

$\therefore$ The potential difference of the resistor is 20 V.

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