Question

500 joule of heat is produced in 10 ohm resistor where current flows for 5 seconds find the potential difference across the resistor

Answer 1

Answer

• Potential Difference across the circuit is 31.7 V

Explanation

Given

• Heat produced = 500 J
• Resistance = 10Ω
• Time = 5 sec

To Find

• Potential Difference

Solution

• First find the current flowing through using the formula for heat. Then use the Ohm's law to find the Potential Difference

✭ Current Flowing through

→ H = I²Rt

→ 500 = I² × 10 × 5

→ 500 = I² × 50

→ 500/50 = I²

→ 10 = I²

→ I = √10 A

✭ Potential Difference

→ V = IR

→ V = √10 × 10

→ V = 3.17 × 10

→ Potential Difference = 31.7 V

Answer 2

Answer:

Given :-

• 500 J of heat is produced in 10 Ω resistor where current flows for 5 seconds.

To Find :-

• What is the potential difference across the resistor.

Formula Used :-

❶ First we have to find the heat produced,

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

❷ Now, potential difference,

$\boxed{\bold{\large{V\: =\: IR}}}$

Solution :-

Given :

• Heat produced (H) = 500 J
• Resistance (R) = 10 Ω
• Time (t) = 5 seconds

❶ First we have to find the heat produced by current,

⇒ 500 = I² × 10 × 5

⇒ 500 = I² × 50

⇒ I² = $\sf\dfrac{\cancel{500}}{\cancel{50}}$

⇒ I² = 10

⇒ I = $\sqrt{10}$

➠ I = 3.17 A

❷ Now, we have to find the potential difference,

⇒ V = 3.17 × 10

➠ V = 31.7 V

$\therefore$ The potential difference across the resistor is 31.7 V .

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