Question

In: Physics

An electric heater is really just a resistor with a voltage across it. If you want...

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?

Solutions

Expert Solution

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 .


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