Question

200J of heat is produced in one second from a resistor of resistance 8 ohm. Find the potential difference across the resistor and it's power

Answer 1

Answer:

H=I^2RT

200=I^2 x 8 x 1

I^2= 200/8

I^2= 25

I= 5A

V=IR

V= 5 x 8

V= 40V

P=VI

P=40 x 5

P= 200W

or P can also be calculated from the formula

Power = Energy/Time

P= 200J/1s

P=200W

Answer 2

Aɴꜱᴡᴇʀ

$\red{\tt{\therefore \: Potential \: Difference \: across \: Resistor \: is \: 31.62 \: Volts}}$

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Gɪᴠᴇɴ

Heat Energy (H) = 200 J

Resistance (R) = 5 ohm

Time (t) = 1s

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ᴛᴏ ꜰɪɴᴅ

Potential Difference across the resistors and it's power

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Sᴛᴇᴘꜱ

Use formula for Heat Energy :

$\begin{lgathered}\dashrightarrow \boxed{\sf{H \: = \: \dfrac{V^2}{R}t}} \\ \\ \dashrightarrow \tt{200 \: = \: \dfrac{V^2}{5} \: \times \: 1} \\ \\ \dashrightarrow \tt{V^2 \: = \: 200 \: \times \: 5} \\ \\ \dashrightarrow \tt{V^2 \: = \: 1000} \\ \\ \dashrightarrow \tt{V \: = \: \sqrt{1000}} \\ \\ \dashrightarrow \tt{V \: = \: 31.62} \\ \\ \pink{\sf{\therefore \: Potential \: Difference \: across \: Resistor \: is \: 31.62 \: Volts}}\end{lgathered}$

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$