For a heater rated at $4 k W$ ; $220 V$ . Calculate the resistance of the heater element.

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Answer 1

Given: $V = 220$ volts $P = 4000$ W
Electric power is given by
$P = \frac{V ^{2}}{R}$ where $R$ is resistance and $V$ is voltage.

$∴$ Resistance of the heater $R = \frac{V ^{2}}{P} = \frac{2 2 0 ^{2}}{4 0 0 0} = 12.1 Ω$

Answer 2

Given:

V = 220

volts

P = 4000

W

Electric power is given by

P = \frac{V ^{2}}{R}

where

R

is resistance and

V

is voltage.

∴

Resistance of the heater

R = \frac{V ^{2}}{P} = \frac{2 2 0 ^{2}}{4 0 0 0} = 12.1 Ω

For a heater rated at $4 k W$ ; $220 V$ . Calculate the resistance of the heater element.

$20 Ω$

$21.6 Ω$

$200 Ω$

$12.2 Ω$

Solution

Given: $V = 220$ volts $P = 4000$ W
Electric power is given by
$P = \frac{V ^{2}}{R}$ where $R$ is resistance and $V$ is voltage.

$∴$ Resistance of the heater $R = \frac{V ^{2}}{P} = \frac{2 2 0 ^{2}}{4 0 0 0} = 12.1 Ω$

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For a heater rated at 4 kW; 220 V . Calculate the resistance of the heater element.

20Ω

21.6Ω

200Ω

12.2Ω

Given: V=220 volts P=4000 WElectric power is given byP=RV2​ where R is resistance and V is voltage. ∴ Resistance of the heater R=PV2​=40002202​=12.1Ω

Patterns of problems

Was this answer helpful?

Similar questions

A 1000 W heater has more resistance than a 100 W bulb.

A heating element is marked 210V, 630W. Find the resistance of the element when connected to a 210V dc source.

A heating element in a stove is designed to receive 3000W when connected to 240V. Assuming the resistance is constant, calculate the current in the heating element.

For a heater rated at 4.4 kW , 220 V . Calculate the current drawn by the heater.

An electric heater of power 3 kW is used for one minute.Find the energy supply by the heater.

More From Chapter

Current Electricity

Shortcuts & Tips

Diagram set

Cheatsheets

Problem solving tips

Memorization tricks

Mindmap

Common misconceptions

Practice more questions

4 Qs

1 Qs

1 Qs

1 Qs

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140 Qs

For a heater rated at $4 k W$ ; $220 V$ . Calculate the resistance of the heater element.

$20 Ω$

$21.6 Ω$

$200 Ω$

$12.2 Ω$

Given: $V = 220$ volts $P = 4000$ W
Electric power is given by
$P = \frac{V ^{2}}{R}$ where $R$ is resistance and $V$ is voltage.

$∴$ Resistance of the heater $R = \frac{V ^{2}}{P} = \frac{2 2 0 ^{2}}{4 0 0 0} = 12.1 Ω$

A heating element is marked $210 V$ , $630 W$ . Find the resistance of the element when connected to a $210 V$ dc source.

A heating element in a stove is designed to receive $3000 W$ when connected to $240 V$ . Assuming the resistance is constant, calculate the current in the heating element.

For a heater rated at $4.4 k W, 220 V$ . Calculate the current drawn by the heater.