Question

220 J of heat is dissipated by a heating element when 0.5 A current flows through it for 10 s.Calculate its resistance

Answer 1

Solution :

Given :-

Heat produced = 220J

Current flow = 0.5A

Time interval = 10s

To Find :-

Resistance of heating element.

Formula :-

Formula of heat energy produced by electrical instrument in terms of current flow, resistance and time is given by

$\bigstar\:\underline{\boxed{\bf{\pink{H=I^2Rt}}}}$

• H denotes heat energy
• I denotes current flow
• R denotes resistance
• t denotes time interval

Calculation :-

$\implies\sf\:220=(0.5)^2\times R\times 10\\ \\ \implies\sf\:R=\dfrac{220}{2.5}\\ \\ \implies\boxed{\bf{\large{\purple{R=88\:\Omega}}}}$

Answer 2

H = I²Rt

H = 220J

I = 0.5A

t = 10s

H = I²Rt

R = H/I²t

R = 220/(0.5)²*10 = 22/0.25 = 2200/25  = 88 ohm

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