Question

Obtain the expression for the heat developed in a resistor by the passage of electric current through it. 220 J of heat is produced each second in a 8 ohm resistor. Find the potential difference across the resistor

Answer 1

Answer:

Potential difference across the resistor is 42 volts

Explanation:

It is given that,

Heat produced by a resistor each seconds, H = 220 J

Resistance of a resistor, R = 8 ohms

We have to find the potential across the resistor. Heat developed by a resistor is given by :

$H=I^2Rt$

Where

According to Ohm's law, I = V/R

So, $H=\dfrac{V^2}{R}t$

$V^2=\dfrac{HR}{t}$

$V^2=\dfrac{220\ J\times 8\ ohms}{1\ s}$

$V^2=1760\ volts$

V = 41.9 volts

or

V = 42 volts

Hence, this is the required solution.

Answer 2

$\huge {\red{\boxed{ \overline{ \underline{ \mid\mathfrak{An}{\mathrm{sw}{ \sf{er}} \colon\mid}}}}}}$

___________________________

➠ Given

• Heat produced (H) = 220 J

• Time taken (t) = 1 s

• Resistance (R) = 8 Ω

___________________________

➠ To Find

We have to find the potential Difference (V)

__________________________

➠ Solution

We know the formula to find the potential Difference.

$\Large{\star{\boxed{\sf{V = \sqrt{\frac{HR}{t}}}}}}$

$\sf{\implies V = \sqrt{\frac{220 \times 8}{1}}} \\ \\ \sf{\implies V = \sqrt{220 \times 8}} \\ \\ \sf{\implies V = \sqrt{1760}} \\ \\ \sf{\implies V = 41.95 v}$

∴ Potential Difference is 42 Volts.

$\Large{\star{\boxed{\sf{Potential \: Difference = 42 \: volts}}}}$