Question

The specification on a heater coil is 250 V, 500 W. Calculate the resistance of the coil. What will be the resistance of a coil of 1000 W to operate at the same voltage?

Answer 1

Answer:

the resistance for coil at 1000W will be 62.5 ohm

Answer 2

The resistance of a 1000 W coil used to operate the same voltage is 62.5 Ω.

Explanation:

• In this scenario, wherein the heat coil specification is 25V and 500W, consider that R is the coil resistance.  

• By the coil of resistance R, the power P consumed when connected via the supply V is provided by $P=V 2 R \Rightarrow R=V 2 P \Rightarrow$

Now, P = 100 W

$\Rightarrow \mathrm{R}=\mathrm{V} 2 \mathrm{P}=25021000=62.5 \Omega$