An electric device gives out $5760 J$ of heat energy in $1 m i n$ , when current flows through it at a potential difference of $24 V$ . Find the resistance of the device.

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Solution

Hint:
Resistance $R = \frac{V^{2} t}{E}$
$V =$ Voltage
$R =$ Resistance
$t =$ Time
$E =$ Energy
Step 1:
Find the resistance of the device
Given data:
$t = 1 m i n$
$E = 5760 J$
$V = 24 V$
$R = \frac{V^{2} t}{E}$
$= \frac{(24 \times 24 \times 60)}{5760}$
$= \frac{34560}{5760}$
$= 6 Ω$
The resistance of the device is $= 6 Ω$ .

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An electric device gives out 5760J of heat energy in 1min , when current flows through it at a potential difference of 24V . Find the resistance of the device.

Hint:Resistance R=V2tEV=VoltageR=Resistancet=TimeE=EnergyStep 1:Find the resistance of the deviceGiven data:t=1minE=5760JV=24VR=V2tE=(24×24×60)5760=345605760=6ΩThe resistance of the device is =6Ω.

An electric device gives out $5760 J$ of heat energy in $1 m i n$ , when current flows through it at a potential difference of $24 V$ . Find the resistance of the device.