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A 100 W heater is connected to a 240 V mains supply. Calculate the i) current drawn and ii) resistance of the heater.

May 23, 2026Physics

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2 parts

\text{0.42 A}

\text{576 } \Omega

Step-by-step solution

2 steps

Here are the calculations for question 1(b):

Part b(i)· 1 step

current drawn;

A 100 W heater is connected to a 240 V mains supply. Calculate the

Use the formula for power, $P = VI$ , where $P$ is power, $V$ is voltage, and $I$ is current.
$I = \frac{P}{V}$
Substitute the given values:
$I = \frac{100\, \text{W}}{240\, \text{V}}$ $I = 0.4166...\, \text{A}$
Rounding to two decimal places:
$I \approx \boxed{\text{0.42 A}}$

Part b(ii)· 1 step
$\text{576 } \Omega$

resistance of the heater.

Use Ohm's Law, $V = IR$ , where $R$ is resistance.
$R = \frac{V}{I}$
Substitute the given voltage and the calculated current:
$R = \frac{240\, \text{V}}{0.4166...\, \text{A}}$ $R = \boxed{\text{576 } \Omega}$

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