Question

Potential difference of 250 volt is applied across a registance 500ohm in an electric iron.calculate heat energy produce in joules in 10 second

Answer 1

Solution :

⏭ Given:

✏ P.d. applied across resistor = 250V

✏ Resistance of electric iron = 500Ω

⏭ To Find:

✏ Heat energy produced by iron in 10sec

⏭ Formula:

✏ Formula of heat energy in terms of potential difference, resistance and time is given by

$\boxed{\sf{\pink{\large{H=\dfrac{V^2}{R}\times t}}}}$

⏭ Terms indication:

• H denotes heat energy
• V denotes p.d.
• R denotes resistance
• t denotes time

⏭ Calculation:

$\implies\sf\:H = \dfrac{V^2}{R}\times t\\ \\ \implies\sf\:H =\dfrac{(250)^2}{500}\times 10\\ \\ \implies\sf\:H = 125\times 10\\ \\ \implies\: \boxed{\sf{\orange{\large{H=1250\:J}}}}$

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✒ Heat energy produced by iron in 10s = 1250J = 1.25kJ

Answer 2

AnSwEr :

$\mathfrak{Given} \begin{cases} \sf{Potential \: Difference \: (V) \: = \: 250 \: V} \\ \sf{Resistance \: = \: 500 \: \Omega} \\ \sf{Time \: (t) \: = \: 10 \: s} \end{cases} \\ \\ \underline{\sf{\bigstar \: According \: To \: The \: Question}} \\ \\ \dashrightarrow \boxed{\boxed{\sf{H \: = \: \dfrac{V^2}{R} \: \times \: t}}} \\ \\ \dashrightarrow \tt{H \: = \: \dfrac{250^2}{500} \: \times \: 10} \\ \\ \dashrightarrow \tt{H \: = \: \dfrac{62500 \: \times \: 10}{500}} \\ \\ \dashrightarrow \tt{H \: = \: 125 \: \times \: 10} \\ \\ \dashrightarrow \tt{H \: = \: 1250 \: J} \\ \\ \dashrightarrow \tt{H \: = \: 1.25 \: kJ} \\ \\ \underline{\sf{\therefore \: Heat \: Energy \: produced \: is \: 1.25 \: kJ}}$