In: Physics
An electric heater is really just a resistor with a voltage across it. If you want to have 682 W of heat with a voltage V = 112 volts, what resistance (Ω) should the heater coil have?
Given :
heat produced by an electric heater, P = 682 W
voltage, V = 112 V
using an equation, P = V I { eq.1 }
where, I = V / R
then P = V (V / R)
P = V2/ R { eq.2 }
inserting the values in eq.2,
(682 W) = (112 V)2 / R
R = (12544 V2) / (682 W)
R = 18.4
The heater coil should have a resistance 18.4 .