Question

220 J of heat is produced each second in a 8 ohm resistor. Find the potential difference across the resistor.

Answer 1

Answer:

HI,

HEAT = I²RT

I×IRT

SINCE, V = IR

HEAT = IVT

220 = V/R × VT

220 = V²T/R

220×8/1 = V²

$v = \sqrt{220 \times 8}$

V = 42

MARK AS BRIANLIST IF POSSIBLE

Answer 2

$\checkmark$ Given:

220 J of heat is produced each second in a 8 Ohm Resistor

$\checkmark$ To Find:

Potential difference across the resistor

$\checkmark$ Solution:

We know that,

$\blue{\bigstar \ \boxed{\sf H=I^{2}Rt}}$

$\green{\bigstar \ \boxed{\sf I=\dfrac{V}{R}}}$

Combining both,

We get,

$\red{\bigstar \ \boxed{\sf V=\sqrt{\dfrac{HR}{t} } }}$

Here,

• H = Heat

• V = Potential Difference

• I = Current

• R = Resistance,

• t = time

According to the Question,

We are asked to find the Potential difference across the resistor

So, we must find "V"

Given that,

220 J of heat is produced each second in a 8 Ohm Resistor

Hence,

• H = 220 J

• R = 8 Ω

• t = 1 second

Substituting the values,

We get,

$\blue{\implies \sf V=\sqrt{\dfrac{220 \times 8}{1} } }$

$\green{\sf \implies V=\sqrt{220 \times 8} }$

$\orange{\sf \implies V=\sqrt{1760} }$

$\red{\sf \implies V=41.95}$

$\pink{\sf \implies V \approx 42}$

Therefore,

$\star$ Potential Difference = 42 V