Question

An electric oven produced 375000J heat lin five minutes. The current was 5A. Find the resistance of the heating element and the voltage in the circuit at that time.

Answer 1

Answer:

R = 50 ohms

V = 250 volts

Explanation:

Given :

• Heat produced in the electric oven = 3,75,000 J = H

• Current drawn by the circuit = I = 5 Amperes

• Time taken = t = 5 minutes = 5×60 = 300 seconds

To find :

• Resistance and voltage of the circuit

Heat = I²RT

3,75,000 = 25×r×300

3,75,000=7500r

r = 3,75,000/7500

r = 50 ohms

Now using ohms law:

V=IR

V=5×50

V=250 volts

The voltage of the circuit is equal to 250 volts

Answer 2

Answer:

Given:

• An electric oven produced 375000J heat lin five minutes. The current was 5A.

Find:

• Find the resistance of the heating element and the voltage in the circuit at that time.

Know terms:

• Heat produced = (H)
• Current = (I)
• Time taken = (t)
• Resistance = (R)
• Volts = (V)

Using formula:

☆ $\tiny{\sf{\underline{\boxed{\orange{\sf{Heat = Current^2 \times Resistance \times Time \: taken}}}}}}$

Calculations:

⇒ $\bold{375000 = 25 \times R \times 300}$

⇒ $\bold{375000 = 7500}$

⇒ $\bold{R = \cancel{ \dfrac{375000}{7500}}}$

⇒ ${\sf{\underline{\boxed{\red{\sf{R = 50 \: ohms --[Answer]}}}}}}$

Using ohms law:

☆ ${\sf{\underline{\boxed{\orange{\sf{V = IR}}}}}}$

Calculations:

⇒ $\bold{V = 5 \times 50}$

⇒ ${\sf{\underline{\boxed{\red{\sf{V = 250 \: volts -- [Answer]}}}}}}$